Mathematical Methods in the Physical Sciences
3rd Edition
ISBN: 9780471198260
Author: Mary L. Boas
Publisher: Wiley, John & Sons, Incorporated
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Chapter 7.10, Problem 1P
In Problems 1 to 3, the graphs sketched represent one period of the excess pressure
1.
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Please help me on this following statistics question.CSV DATA:"","CafData","DecafData""1","6",7"2","11",3"3","9",16"4","9",1"5","10",7"6","11",8"7","9",12"8","6",4"9","4",5"10","7",4"11","4",11"12","8",8"13","9",7"14","12",11"15","8",-4"16","10",1"17","",1"18","",1"19","",14
Please help me on this following statistics questionDrop down options for (g) are: (be rejected/not be rejected) & (on average, significantly better/on average, not significantly better)CSV DATA:"","New_Therapy","Standard_Therapy""1","38.6",47.7"2","50.4",49.3"3","49.8",65"4","46.4",42.9"5","45.9",63.2"6","53.5",47.1"7","56.5",66.5"8","46",47.6"9","48.6",66.9"10","44.8",48"11","51",46.1"12","42.8",54.5"13","45.8",50.7"14","41",48.8"15","50.6",62.2"16","39.6",53.9"17","50.1",54.1"18","49",70.1"19","50.2",45.5"20","48.6",48.6"21","45",61.1"22","49.6",53.6"23","38.5",49"24","43.3",53.1"25","43.5",43.6"26","49",59.3"27","48.2",53.5"28","",53"29","",49.4"30","",60.7
Please help me answer this following question on statistics
The CSV data is below:
"","cafe","library"
"A",85,85
"B",64,61
"C",180,179
"D",136,135
"E",152,152
"F",174,169
"G",145,145
"H",87,86
"I",121,121
"J",149,146
"K",140,136
"L",159,159
"M",98,96
"N",130,130
"O",56,52
"P",140,141
"Q",76,78
"R",150,148
"S",133,132
"T",125,122
"U",123,122
"V",85,84
"W",84,85
"X",94,96
"Y",156,154
(a) Based on the above data structure, we should use a (2-sample T test (pooled variance)/Paired T (Matched Pairs) Test/2-sample T test (unequal variance)/Leven's Test.)
(c) Carry out the appropriate statistical test and find the Test Statistic and P-value.
Test Statistic= (use three decimals)
Complete the interpretation and compute the P−value.
Assuming H0 is (false/uncertain/true), the probability of (observing stronger evidence to support the rejecting the/failing to reject the/observing stronger evidence against the) null hypothesis is ___ (use three decimals).
(d) Based on these samples, at the 5% level…
Chapter 7 Solutions
Mathematical Methods in the Physical Sciences
Ch. 7.2 - In Problems 1 to 6 find the amplitude, period,...Ch. 7.2 - In Problems 1 to 6 find the amplitude, period,...Ch. 7.2 - In Problems 1 to 6 find the amplitude, period,...Ch. 7.2 - In Problems 1 to 6 find the amplitude, period,...Ch. 7.2 - In Problems 1 to 6 find the amplitude, period,...Ch. 7.2 - In Problems 1 to 6 find the amplitude, period,...Ch. 7.2 - In Problems 7 to 10 you are given a complex...Ch. 7.2 - In Problems 7 to 10 you are given a complex...Ch. 7.2 - In Problems 7 to 10 you are given a complex...Ch. 7.2 - In Problems 7 to 10 you are given a complex...
Ch. 7.2 - The charge q on a capacitor in a simple a-c...Ch. 7.2 - RepeatProblem11:(a)ifq=Re4e30it;(b)ifq=Im4e30it.Ch. 7.2 - A simple pendulum consists of a point mass m...Ch. 7.2 - The displacements x of two simple pendulums (see...Ch. 7.2 - As in Problem 14, the displacements x of two...Ch. 7.2 - As in Problem 14, let the displacements be...Ch. 7.2 - Show that equation (2.10) for a wave can be...Ch. 7.2 - In Problems 18 to 20, find the amplitude, period,...Ch. 7.2 - In Problems 18 to 20, find the amplitude, period,...Ch. 7.2 - In Problems 18 to 20, find the amplitude, period,...Ch. 7.2 - Write the equation for a sinusoidal wave of...Ch. 7.2 - Do Problem 21 for a wave of amplitude 4, period 6,...Ch. 7.2 - Write an equation for a sinusoidal sound wave of...Ch. 7.2 - The velocity of sound in sea water is about...Ch. 7.2 - Write an equation for a sinusoidal radio wave of...Ch. 7.3 - For each of the following combinations of a...Ch. 7.3 - For each of the following combinations of a...Ch. 7.3 - For each of the following combinations of a...Ch. 7.3 - For each of the following combinations of a...Ch. 7.3 - Using the definition (end of Section 2) of a...Ch. 7.3 - In Problems 6 and 7, use a trigonometry formula to...Ch. 7.3 - In Problems 6 and 7, use a trigonometry formula to...Ch. 7.3 - A periodic modulated (AM) radio signal has the...Ch. 7.4 - Show that if f(x) has period p, the average value...Ch. 7.4 - (a) Prove that 0/2sin2xdx=0/2cos2xdx by making the...Ch. 7.4 - In Problems 3 to 12, find the average value of the...Ch. 7.4 - In Problems 3 to 12, find the average value of the...Ch. 7.4 - In Problems 3 to 12, find the average value of the...Ch. 7.4 - In Problems 3 to 12, find the average value of the...Ch. 7.4 - In Problems 3 to 12, find the average value of the...Ch. 7.4 - In Problems 3 to 12, find the average value of the...Ch. 7.4 - In Problems 3 to 12, find the average value of the...Ch. 7.4 - In Problems 3 to 12, find the average value of the...Ch. 7.4 - In Problems 3 to 12, find the average value of the...Ch. 7.4 - In Problems 3 to 12, find the average value of the...Ch. 7.4 - Using (4.3) and equations similar to (4.5) to...Ch. 7.4 - Use the results of Problem 13 to evaluate the...Ch. 7.4 - Use the results of Problem 13 to evaluate the...Ch. 7.4 - Use the results of Problem 13 to evaluate the...Ch. 7.5 - In each of the following problems you are given a...Ch. 7.5 - In each of the following problems you are given a...Ch. 7.5 - In each of the following problems you are given a...Ch. 7.5 - In each of the following problems you are given a...Ch. 7.5 - In each of the following problems you are given a...Ch. 7.5 - In each of the following problems you are given a...Ch. 7.5 - In each of the following problems you are given a...Ch. 7.5 - In each of the following problems you are given a...Ch. 7.5 - In each of the following problems you are given a...Ch. 7.5 - In each of the following problems you are given a...Ch. 7.5 - In each of the following problems you are given a...Ch. 7.5 - Show that in (5.2) the average values of...Ch. 7.5 - Write out the details of the derivation of...Ch. 7.6 - For each of the periodic functions in Problems 5.1...Ch. 7.6 - For each of the periodic functions in Problems 5.1...Ch. 7.6 - For each of the periodic functions in Problems 5.1...Ch. 7.6 - For each of the periodic functions in Problems 5.1...Ch. 7.6 - For each of the periodic functions in Problems 5.1...Ch. 7.6 - For each of the periodic functions in Problems 5.1...Ch. 7.6 - For each of the periodic functions in Problems 5.1...Ch. 7.6 - For each of the periodic functions in Problems 5.1...Ch. 7.6 - For each of the periodic functions in Problems 5.1...Ch. 7.6 - For each of the periodic functions in Problems 5.1...Ch. 7.6 - For each of the periodic functions in Problems 5.1...Ch. 7.6 - Use a computer to produce graphs like Fig. 6.2...Ch. 7.6 - Repeat the example using the same Fourier series...Ch. 7.6 - Use Problem 5.7 to show that oddn1/n2=2/8. Try...Ch. 7.6 - UseProblem5.11toshowthat1221+1421+1621+=12.Ch. 7.7 - Expand the same functions as in Problems 5.1 to...Ch. 7.7 - Expand the same functions as in Problems 5.1 to...Ch. 7.7 - Expand the same functions as in Problems 5.1 to...Ch. 7.7 - Expand the same functions as in Problems 5.1 to...Ch. 7.7 - Expand the same functions as in Problems 5.1 to...Ch. 7.7 - Expand the same functions as in Problems 5.1 to...Ch. 7.7 - Expand the same functions as in Problems 5.1 to...Ch. 7.7 - Expand the same functions as in Problems 5.1 to...Ch. 7.7 - Expand the same functions as in Problems 5.1 to...Ch. 7.7 - Expand the same functions as in Problems 5.1 to...Ch. 7.7 - Expand the same functions as in Problems 5.1 to...Ch. 7.7 - Show that if a real f(x) is expanded in a complex...Ch. 7.7 - If f(x)=12a0+1ancosnx+1bnsinnx=cneinx, use Eulers...Ch. 7.8 - In Problems 5.1 to 5.9, define each function by...Ch. 7.8 - In Problems 5.1 to 5.9, define each function by...Ch. 7.8 - In Problems 5.1 to 5.9, define each function by...Ch. 7.8 - In Problems 5.1 to 5.9, define each function by...Ch. 7.8 - In Problems 5.1 to 5.9, define each function by...Ch. 7.8 - In Problems 5.1 to 5.9, define each function by...Ch. 7.8 - In Problems 5.1 to 5.9, define each function by...Ch. 7.8 - In Problems 5.1 to 5.9, define each function by...Ch. 7.8 - In Problems 5.1 to 5.9, define each function by...Ch. 7.8 - (a) Sketch several periods of the function f(x) of...Ch. 7.8 - In Problems 11 to 14, parts (a) and (b), you are...Ch. 7.8 - In Problems 11 to 14, parts (a) and (b), you are...Ch. 7.8 - In Problems 11 to 14, parts (a) and (b), you are...Ch. 7.8 - In Problems 11 to 14, parts (a) and (b), you are...Ch. 7.8 - Sketch (or computer plot) each of the following...Ch. 7.8 - Each of the following functions is given over one...Ch. 7.8 - Each of the following functions is given over one...Ch. 7.8 - Each of the following functions is given over one...Ch. 7.8 - Each of the following functions is given over one...Ch. 7.8 - Each of the following functions is given over one...Ch. 7.8 - Write out the details of the derivation of the...Ch. 7.9 - The functions in Problems 1 to 3 are neither even...Ch. 7.9 - The functions in Problems 1 to 3 are neither even...Ch. 7.9 - The functions in Problems 1 to 3 are neither even...Ch. 7.9 - The functions in Problems 1 to 3 are neither even...Ch. 7.9 - Each of the functions in Problems 5 to 12 is given...Ch. 7.9 - Each of the functions in Problems 5 to 12 is given...Ch. 7.9 - Each of the functions in Problems 5 to 12 is given...Ch. 7.9 - Each of the functions in Problems 5 to 12 is given...Ch. 7.9 - Each of the functions in Problems 5 to 12 is given...Ch. 7.9 - Each of the functions in Problems 5 to 12 is given...Ch. 7.9 - Each of the functions in Problems 5 to 12 is given...Ch. 7.9 - Each of the functions in Problems 5 to 12 is given...Ch. 7.9 - Give algebraic proofs of (9.3). Hint: Write...Ch. 7.9 - Give algebraic proofs that for even and odd...Ch. 7.9 - Given f(x)=x for 0x1, sketch the even function fc...Ch. 7.9 - Let f(x)=sin2x,0x. Sketch (or computer plot) the...Ch. 7.9 - In Problems 17 to 22 you are given f(x) on an...Ch. 7.9 - In Problems 17 to 22 you are given f(x) on an...Ch. 7.9 - In Problems 17 to 22 you are given f(x) on an...Ch. 7.9 - In Problems 17 to 22 you are given f(x) on an...Ch. 7.9 - In Problems 17 to 22 you are given f(x) on an...Ch. 7.9 - In Problems 17 to 22 you are given f(x) on an...Ch. 7.9 - If a violin string is plucked (pulled aside and...Ch. 7.9 - If, in Problem 23, the string is stopped at the...Ch. 7.9 - Suppose that f(x) and its derivative f(x) are both...Ch. 7.9 - In Problems 26 and 27, find the indicated Fourier...Ch. 7.9 - In Problems 26 and 27, find the indicated Fourier...Ch. 7.10 - In Problems 1 to 3, the graphs sketched represent...Ch. 7.10 - In Problems 1 to 3, the graphs sketched represent...Ch. 7.10 - In Problems 1 to 3, the graphs sketched represent...Ch. 7.10 - In Problems 4 to 10, the sketches show several...Ch. 7.10 - In Problems 4 to 10, the sketches show several...Ch. 7.10 - In Problems 4 to 10, the sketches show several...Ch. 7.10 - In Problems 4 to 10, the sketches show several...Ch. 7.10 - In Problems 4 to 10, the sketches show several...Ch. 7.10 - In Problems 4 to 10, the sketches show several...Ch. 7.10 - In Problems 4 to 10, the sketches show several...Ch. 7.11 - Prove (11.4) for a function of period 2l expanded...Ch. 7.11 - Prove that if f(x)=i=cneinx, then the average...Ch. 7.11 - If f(x) is complex, we usually want the average of...Ch. 7.11 - When a current I flows through a resistance R, the...Ch. 7.11 - Use Parsevals theorem and the results of the...Ch. 7.11 - Use Parsevals theorem and the results of the...Ch. 7.11 - Use Parsevals theorem and the results of the...Ch. 7.11 - Use Parsevals theorem and the results of the...Ch. 7.11 - Use Parsevals theorem and the results of the...Ch. 7.11 - A general form of Parsevals theorem says that if...Ch. 7.11 - Let f(x) on (0,2l) satisfy f(2lx)=f(x), that is,...Ch. 7.12 - Following a method similar to that used in...Ch. 7.12 - Do Example 1 above by using a cosine transform...Ch. 7.12 - In Problems 3 to 12, find the exponential Fourier...Ch. 7.12 - In Problems 3 to 12, find the exponential Fourier...Ch. 7.12 - In Problems 3 to 12, find the exponential Fourier...Ch. 7.12 - In Problems 3 to 12, find the exponential Fourier...Ch. 7.12 - In Problems 3 to 12, find the exponential Fourier...Ch. 7.12 - In Problems 3 to 12, find the exponential Fourier...Ch. 7.12 - In Problems 3 to 12, find the exponential Fourier...Ch. 7.12 - In Problems 3 to 12, find the exponential Fourier...Ch. 7.12 - In Problems 3 to 12, find the exponential Fourier...Ch. 7.12 - In Problems 3 to 12, find the exponential Fourier...Ch. 7.12 - In Problems 13 to 16, find the Fourier cosine...Ch. 7.12 - In Problems 13 to 16, find the Fourier cosine...Ch. 7.12 - In Problems 13 to 16, find the Fourier cosine...Ch. 7.12 - In Problems 13 to 16, find the Fourier cosine...Ch. 7.12 - In Problems 17 to 20, find the Fourier sine...Ch. 7.12 - In Problems 17 to 20, find the Fourier sine...Ch. 7.12 - In Problems 17 to 20, find the Fourier sine...Ch. 7.12 - In Problems 17 to 20, find the Fourier sine...Ch. 7.12 - Find the Fourier transform of f(x)=ex2/22. Hint:...Ch. 7.12 - The function j1()=(cossin)/ is of interest in...Ch. 7.12 - Using Problem 17, show that...Ch. 7.12 - (a) Find the exponential Fourier transform of...Ch. 7.12 - (a) Represent as an exponential Fourier transform...Ch. 7.12 - Using Problem 15, show that 01cos2d=2.Ch. 7.12 - Represent each of the following functions (a) by a...Ch. 7.12 - Represent each of the following functions (a) by a...Ch. 7.12 - Represent each of the following functions (a) by a...Ch. 7.12 - Represent each of the following functions (a) by a...Ch. 7.12 - Verify Parsevals theorem (12.24) for the special...Ch. 7.12 - Verify Parsevals theorem (12.24) for the special...Ch. 7.12 - Verify Parsevals theorem (12.24) for the special...Ch. 7.12 - Show that if (12.2) is written with the factor 1/2...Ch. 7.12 - Starting with the symmetrized integrals as in...Ch. 7.12 - Normalize f(x) in Problem 21; that is find the...Ch. 7.13 - The displacement (from equilibrium) of a particle...Ch. 7.13 - The symbol [x] means the greatest integer less...Ch. 7.13 - We have said that Fourier series can represent...Ch. 7.13 - The diagram shows a relaxation oscillator. The...Ch. 7.13 - Consider one arch of f(x)=sinx. Show that the...Ch. 7.13 - Let f(t)=eit on (,). Expand f(t) in a complex...Ch. 7.13 - Given f(x)=x on (,), expand f(x) in an appropriate...Ch. 7.13 - From facts you know, find in your head the average...Ch. 7.13 - Given f(x)= x,0x1, 2,1x2. (a) Sketch at least...Ch. 7.13 - (a) Sketch at least three periods of the graph of...Ch. 7.13 - Find the three Fourier series in Problems 9 and...Ch. 7.13 - What would be the apparent frequency of a sound...Ch. 7.13 - (a) Given f(x)=(x)/2 on (0,), find the sine series...Ch. 7.13 - (a) Find the Fourier series of period 2 for...Ch. 7.13 - Given f(x)=1,2x0,1,0x2, find the exponential...Ch. 7.13 - Given f(x)=x,0x1,2x,1x2,0,x2, find the cosine...Ch. 7.13 - Show that the Fourier sine transform of x1/2 is...Ch. 7.13 - Let f(x) and g() be a pair of Fourier transforms....Ch. 7.13 - Find the form of Parsevals theorem ( 12.24) for...Ch. 7.13 - Find the exponential Fourier transform of...Ch. 7.13 - Define a function h(x)=k=f(x+2k), assuming that...Ch. 7.13 - Use Poissons formula (Problem 21b) and Problem 20...Ch. 7.13 - Use Parsevals theorem and Problem 12.11 to...
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- I need help on filling out this following table for statistics. Please help me find the chi squared value as well It has been suggusted that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 714 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below. You may round all answers for this problem to the nearest hundredth. To import data to R, copy and paste the R codes below number=c(rep("4-7",421),rep("8-13",154),rep("14-21",88),rep("22_or_more",51)) retirement=c(rep("pre-retirement",248),rep("post-retirement",173),rep("pre-retirement",79),rep("post-retirement",75),rep("pre-retirement",36),rep("post- retirement",52),rep("pre-retirement",11),rep("post-retirement",40)) data=data.frame(number,retirement) table(data) With this information, construct a table of estimated expected values. Use two digits after the…arrow_forward4 3. 2. 1 0 Π 元 -1 3 x -53. 5π 2π The graph of the function y = f(x) is shown in the xy-plane. Which of the following is the graph of the polar function r = f(e) in the polar coordinate system? A B Polar axis Polar axis Polar axis Polar axisarrow_forwardThe purpose of this problem is to solve the Black-Scholes PDE with analytical techniques, which will lead us back to the Black-Scholes formula. The technique is very similar to the one used with the Feynman-Kac formula back in MATH 467. Let's consider the PDE given by with terminal condition f(T,x) af + Ət 1 02 ર .2მ2 f af მ2 +rx მე - rf = 0, = (x-K)+. The solution f(t, x) corresponds to the price of a call option (given the initial condition) at time t if the stock price is x. (a) The first two things that prevent us from solving this PDE directly are (i) the fact that we have a terminal condition, instead of an initial condition; (ii) the terms in front of the derivatives are not constant. To address these, we use the transformation g(t, x) = ƒ(T − t,e³), equivalent to f(t, x) = g(T-t, log(x)). Under this condition, determine the PDE and the initial condition satisfied by g. (b) Now, the PDE obtained in (a) should have an initial condition and constant coeffi- cients, but it still…arrow_forward
- ٣:٥٣ النموذج الاول . . . O O O بشما ند الحمر الحمر الجمهورية الجنية وزارة التربية والتعليم اليوم التاريخ اللجنة العليا للاختبارات الزمن اختبار مادة الجبر والهندسة لجنة المطابع السرية المركزية للشهادة الثانوية العامة (القسم العلمي) الفترة %97 (1) ظلل في ورقة الإجابة الدائرة التي تحتوي على الحرف ( ص ) للإجابة الصحيحة والحرف ( خ ) للإجابة الخطأ بحسب رقم الفقرة لكل مما يأتي ( درجة لكل فقرة ) )1 ) 2 ) 3 ) 4 ) بؤرة القطع س" = ١٢ ص هي ( ۲ ) طول المحور الأصغر للقطع ٩ س + ص = ٩ يساوي 6 وحدات طول . ) إذا كان & عدد مركب ، 181 + 11 = ٦ ، فإن ١١ = ٣ . ) إذا كان م + ۳ ت = ۲ + ت ب م ، ب دع ، فإن م + ب = 5 ( ) إذا كان & = ۱ + ٣ ت ، فإن ٠ = ١٠ . 6 ( - ) إذا كان ٥٠ - ٣ - ١٢٠ ٤ - ٣ ، فإن قيمة ٧ = ٥ . 1 ) = N ) إذا كان ح هو الحد الخالي من س في المفكوك ( س + v. N 8 ( ( قيمة المقدار , = + ۱ ، * . . + ، فإن قيمة ٧ = ١٦ . ۱ + 9 ( ) المستقيمان المقاربان للقطع الذي معادلته س" = ١ هما ص = : ۹ 10 ( ) إذا كان ٥ + س = ٢٤ ، فإن قيمة س = - 1 س 11 ( ) إذا كانت النسبة بين الحدين الأوسطين تساوي 9 في المفكوك ( س + - ) ،…arrow_forwardالاسم يمنع استخدام الآلة الحاسبة ظلل في ورقة الإجابة الدائرة التي تحتوي على الحرف (ص) للإجابة الصحيحة والحرف (خ) للإجابة الخطأ بحسب رقم الفقرة لكل مما يأتي: درجة لكل فقرة. ( ) نها جا 元 جتا = صفر س ۱ س س -۱ ( ) يمكن إعادة تعريف الدالة د(س) = س قاس لكي تكون متصلة عند س = 7 ( ) إذا كانت د(س) = (٢) س - س ) ؛ فإن د(١) = ٦ ٢ س ص ( ) إذا كانت س + 0= ؛ فإن عند ) - ١ ، - ٦ ) تساوي (٦) ( ) إذا كانت د(س) = س ه ، و (س) = ٣ س ٢ + ٢ س ؛ فإن ( د ) (۱) = ۸ ) ( معادلة ناظم الدالة ص = د(س) عند النقطة ) ( ، د (۲)) هي ص - (د (م) - - د (۲) ( س - م ) ( ) إذا كانت ص = ظتا٢ س ؛ فإن ص = ٢ ص قتا ٢س ) ( إذا كانت د(س) = س ؛ فإن د (T) = جتاس 1- T ( ) إذا كانت د(س) = 1 - جناس جاس ؛ فإن د () = - 1 ( ) إذا كانت الدالة د (س) تحقق شروط مبرهنة القيمة المتوسطة على [ ، ب ] ، فإنه يوجد جـ ] ، ب [ بحيث (جـ) = (P) + (~)- - ب + P 1 2 3 4 5 6 7 8 9 10 11 ( ) للدالة د(س) = لو ( س ) + (٣) نقطة حرجة عند س = . ( ) إذا كان س = - ٢ مقارباً رأسياً للدالة د(س) 12 10 13 14 15 16 17 س = لو|س | + ث - = ۲ س + ٣ ب س + ٤ ، فإن معادلة…arrow_forwardPlease help me answer question b and c for this problem.A student project involved collecting data to see if there was a difference in the amount of time one had to wait at the drive-thru between two fast food restaurants, A and B. She randomly selected 30 cars at fast food restaurant A and 30 cars at fast food restaurant B. For each car chosen, she recorded how much time passed from the placement of the order to receiving their food at the pick-up window. The data is given in the table below measured in Seconds. Use α=0.05.CSV…arrow_forward
- Please help me with the following statistics problem A long-distance runner wants to compare the durability of two running shoe brands: Brand A and Brand B. Instead of testing them separately, 15 runners simultaneously wear Brand A on the left foot and Brand B on the right foot during training runs. The runner continues training as usual and tracks how many kilometers each shoe lasts before showing significant wear (e.g., loss of cushioning, outsole damage). Since both shoes experience the same runner, terrain, and conditions, any lifespan difference can be attributed to the shoe brand rather than external factors. Test whether Brand A running shoes have a significantly shorter lifespan than Brand B when worn under the same conditions by the same runner. CSV: "","A","B" "A",197,193 "B",230,229 "C",179,180 "D",206,205 "E",182,180 "F",141,142 "G",207,207 "H",116,112 "I",78,79 "J",0,0 "K",213,212 "L",86,83 "M",181,181 "N",85,79 "O",73,71 The…arrow_forward6) A farmer has 60 acres on which to plant oats or corn. Each acre of oats requires 100 lbs of fertilizer and 1 hour of labor. Each acre of corn requires 50 lbs of fertilizer and 2 hours of labor. The farmer has 5000 lbs of fertilizer and 100 hours available for labor. If the profit is $60 from each acre of oats and $100 from each acre of corn, what planting combination will produce the greatest total profit? a) Fill in the following chart to help organize the information given in the problem: Oats Labor Fertilizer Land Profit b) Write down the question of interest. Corn Available c) Define variables to answer the question of interest. Call these x and y. d) Write the objective function to answer the question of interest. e) List any constraints given in the problem.arrow_forwardAn article appeared in the Journal of Gambling Issues, in which the authors looked at random samples of Ontario residents who (i) have not completed some form of post-secondary education and (ii) have completed some form of post-secondary education. A code of 0 indicates the person does not have a gambling problem, a code of 1 indicates the person does have a gambling problem. The data is found in the accompanying data file. Download.csv file To count the frequencies of 0 and 1 in each sample, use the table(your_dataset_name$ column's name) function. Make sure to replace "your_dataset_name" with the actual name of your data file and specify the correct column name. For example: table(file60c5d1286c735$ CompletedPSEducation) Let PNOPS represent the proportion of persons not completing some form of post-secondary education who have a gambling problem, and PPs be the proportion of persons having completed post-secondary education who have a gambling problem. (a) Find a 92% confidence…arrow_forward
- We consider a (European) call option on a stock with expiration in 3 months and strike price $10. The annual interest rate on the market is r = 4%. The current price of the stock is $10 and we assume that the stock follows a geometric Brownian motion (Black-Scholes) model with parameters = 6% and σ = 0.2. (a) Determine the price Fo of this option at time t = : 0 (today). (b) Using the formulas provided in the lecture videos, calculate the value of each of the Greeks for this option. Namely, calculate A, T, v, О, p. (c) Find a formula for the change of the option price with respect to a change in the af (St, t) Әк strike price. In other words, determine (d) For each of the suggested modifications below, use an approximation to determine the change in the price of the option above without actually recalculating the price. For each one, provide an intuitive argument to explain why the price increases or decreases. (i) The rate of return μ decreases to 5%. (ii) The interest rate r…arrow_forward2. Symmetry Evaluate the following integrals using symmetry argu- ments. Let R = {(x, y): -a ≤ x ≤ a, −b ≤ y ≤ b}, where a and b are positive real numbers. a. SS Sf xye xye¯(x² + y²) dA R b. C sin (x − y) - dA x² + y² + 1 Rarrow_forwardChoose a convenient order When converted to an iterated integral, the following double integrals are easier to evaluate in one order please show all stepsarrow_forward
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