VII The cumulative area of the normal distribution for the right half is given by12normal(Z)=Apwhere v is a dummy variable. The total value for the right half, normal () is 0.5. UseSimpson's rules of numerical integration and calculate normal (Z) in the following table. Youmay verify your answers forx-0.2 and x-2.0 to fool proof your program. Submit the programand the output. Discuss the methodology used and the impact of step size on the result.normal (Z)0.200.07930.400.600.801.001.201.401.601.802.000.4772

From the given information, the total value for the right half, normal ∞ is 0.5. Density for Z is,…

Answered: VII The cumulative area of the normal…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 69E

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A Troublesome Snowball One winter afternoon, unbeknownst to his mom, a child bring a snowball into the house, lays it on the floor, and then goes to watch T.V. Let W=W(t) be the volume of dirty water that has soaked into the carpet t minutes after the snowball was deposited on the floor. Explain in practical terms what the limiting value of W represents, and tell what has happened physically when this limiting value is reached.
Find the average value of ƒ(x) = e2x on [0, ln 2].
Long-distance runners have contended that moderate exposure to ozone increases lungcapacity. To investigate this possibility, a researcher exposed 12 rats to ozone at the rateof 2 parts per million for a period of 30 days. The lung capacity of rats was determined atthe beginning of the study and again after the 30 days of ozone exposure. The lungcapacities (in mL) are given here:(a) If we can assume normality, is there sufficient evidence to support the conjecture thatozone exposure increases lung capacity? Use α = 0.01? b) Estimate the size of the increase in lung capacity after exposure to ozone. Use a 99%confidence interval.
A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 231 days. After a revised mix has been developed, a sample of nine boxes of cake mix gave these shelf lives (in days): 230,233, 235, 236, 233, 240, 240, 241, and 237. Using α = 0.025, has the shelf life of the cake mix increased? Multiple Choice Yes, because computed t is greater than the critical value. Yes, because computed t is less than the critical value. No, because computed t lies in the region of acceptance. No, because 236.11 is quite close to 231.
A CI is desired for the true average stray-load loss ? (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with ? = 2.2. (Round your answers to two decimal places.) (a) Compute a 95% CI for ? when n = 25 and x = 53.7. , watts(b) Compute a 95% CI for ? when n = 100 and x = 53.7. , watts(c) Compute a 99% CI for ? when n = 100 and x = 53.7. , watts(d) Compute an 82% CI for ? when n = 100 and x = 53.7. , watts(e) How large must n be if the width of the 99% interval for ? is to be 1.0? (Round your answer up to the nearest whole number.)n = You may need to use the appropriate table in the Appendix of Tables to answer this question.
If Q = f (x, y) and considering increases in both variables, how is expressed the total differential dQ? -What does a total differential measure us? -What is the term (dQ/dx . ∆x) within the total spread?
The diameter of a metal shaft used in a disk-drive unit is normally distributed with mean 0.2508 in. and std. dev. 0.0005 in. The specification on the shaft have been established as (0.25-0.0015 in, 0.25+0.0015in) If the process mean has been adjusted to 0.25 in, what fraction of the shafts produced does NOT conform to specifications? a). 0.0027 b). 0.0013 c).0.08 d). 0.16
In testing a new drug, we obtained the following results: Placebo Drug A Drug B Drug C 3 3 6 7 0 2 3 6 2 0 4 5 0 0 3 4 0 0 4 3 Run the ANOVA and fill in the summary table with the results obtained: SS df MS F-ratio p-value Between 3 Within 16 TOTAL 19 (Report P-value & F-ratio accurate to 3 decimal places and all other values accurate to 2 decimal places.) What conclusion can be drawn at the 0.1 significance level? The various drugs do not have results that are statistically different. The various drugs have results that are statistically different.
the joint distribution of Y and X is given by: 4/3 · ln y, and the follow boundary: 0<x<y<1 Determine the distribution of U = −log(Y/X)
α = 0.05 for a two-tailed test. Find the critical z value.
A pharmcuticle company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of Mercury) for 9 patients before taking the new drug and 2 hours after taking the drug are shown in the table below. is there enough evidence support the company's claim? Let D =(blood pressure before taking new drug)- (blood pressure after taking new drug).use significant levels of a=their 0.05 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patience both Before & After taking the new drug. 1.State the null and alternative hypothesis for the test. 2. Find the value of the standard deviation of the paired differences. Round to one decimal place. 3.compute the value of the test statistic. Round to three decimal places 4.determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion to three decimals. 5.make decision for the hypothesis test.
(b) Find the area under the normal curve to the left of z=−1.53 plus the area under the normal curve to the right of z=2.53. The combined area is

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