In a random sample of five observations, you obtained the following values for variable X. Whats the z score of observation 2

Q: The mean and standard deviation of 20 items was found to be 10 and 2, respectively. Later, it was fo...

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Q: b) Calculate the p-value for Ha: ?2 > 29, n = 14, ?2 = 32.7. (c) Calculate the p-value for Ha: ?2 ≠...

A: Here alternative hypothesis is right sided. Hence p value = P (?2 >32.7)  Where ?2 has degree of ...

Q: Here is a set of 24 values in order: 1, 2, 5, 6, 9, 14, 15, 16, 18, 19, 19, 20, 22, 23, 24, 25, 26, ...

A: The given data is already arranged in ascendingorder.sample size(n)=24

Q: Problem 1. Let Y;, i = 1,...,n be independent N(B, + yß1,0²) and let W1,...,Wm be independent N(+ wY...

A: Given that Yi, i=1, . . . ,n be independent Nβ0+yiβ1, σ2 and W1, . . . , Wm be independent Nγ0+wiγ1,...

Q: Find the number of 4-digit even numbers formed using the digits 0 to 5 when repetition of digits is ...

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Q: For this week's Discussion post, choose a  one or two sample Hypothesis test related to COVID. For e...

A: Choose a one or two sample hypothesis test related to COVID The estimated average days of patients t...

Q: Example 10. Find maximum profit. If R = 30x – x² and C = 20 + 4x. %3D %3D

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Q: Calculate median from the following data: 30-60 60-80 80-90 Marks 0-10 10-30 No. of Students 15 30 8...

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Q: What is the margin of error for a poll with a sample size of 450 people? Round your answer to the ne...

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Q: Use the sign test to see if there is a difference between the number of days until çollection of an ...

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Q: 4) Suppose New York City has an average police response time of 8.5 minutes, with a standard deviati...

A: Given,mean(μ)=8.5standard deviation(σ)=3sample size(n)=64

Q: Find the P value for the following example. A data set {Xi} contains 100 house prices in Boston whil...

A: P-value = 0.0000

Q: ind the value of t for the difference between two means based on an assumption of normality and this...

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Q: Frequency distribution of marks obtained by 90 students is given below. Compute: (a) Arithmetic mean...

A: Answer: For this computation first we compute mid-points of each class interval. And take the substi...

Q: During the class project for Marketing Research, you wanted to understand whether there is a differe...

A: The analysis of variance (ANOVA) examines the average differences between more than two groups. For ...

Q: The following data are the joint temperatures of the O-rings (°F) for each test firing or actual lau...

A: Given data is85,49,61,40,83,67,45,66,70,69,80,58,68,60,67,72,73,70,57,63,70,78,52,67,75,61,70,81,76,...

Q: 5. Use the data in the table below to calculate the TRIN ratio for the Nasdaq. Is this figure bullis...

A: TRIN ratio is also known as short term trading index. It used to compare the advance and decline iss...

Q: A researcher is interested in the effectiveness of a diet education program on participants weight l...

A: C. Time-series design

Q: Use the binomial probability distribution formula to compute the probability that out of 10 coin fli...

A: We have given that  n = 10 Probability of getting head (p) = 1/2 = 0.5 Here we use binomial distribu...

Q: Suppose you are examining a random variable Y that is normally distributed. You transform it into a ...

A: Given,standard deviation(σ)=2.97Z-score=-1.64and a particular point (Y)=16.5

Q: The standard error of the sample mean is,

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Q: A population has a mean of  1398.25 and standard deviation of 246.85   14 The middle interval that ...

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Q: Find the z-score that has 68.8% of the distribution's area to its right. The z-score is (Round to tw...

A: Standard normal table : The area of the region located under the bell curve and to the left of a giv...

Q: Find the 98% confidence interval for the difference between two means based on this information abou...

A: We have given that, n1= 27, n2 = 30 and s1 = 30, s2 = 22 and  x̄1 =36, x̄2 = 25 Then,  We will find ...

Q: For a distribution, the mean is 10, variance is 16, y, is + 1 and B, is 4. Obtain the tirst four mom...

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Q: Ехample 13. A firm has the revenue function R = 100g – q? and the cost function 57 T = q 2 3 find ma...

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Q: Calculate median from the following data: 30-60 60-80 80-90 Marks 0-10 10-30 2 No. of Students 5 15 ...

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Q: Find mean for the following data : Class-interval: Frequency: 50-59 40-49 30-39 20-29 10-19 0-9 3 10...

A: Given, Class-interval Frequency (f) mid values (x) f.x 50-59 1 54.5 54.5 40-49 3 44.5 133.5 ...

Q: You are given that mean = 50, coefficient of variation = 40% and coefficient of skewness =-0.4. Your...

A: Given that  mean(x̅) = 50 CV = 40% Sk = -0.4    

Q: In a survey of 200 boys, of which 75 were intelligent, 40 had educated athers; while 85 of the unint...

A: Given information, Among 200 boys, of which 75 were intelligent, 40 has educated fathers and 85 of t...

Q: In a recent year, the total scores for a certain standardized test were normally distributed, with a...

A: Given,mean(μ)=500standard deviation(σ)=10.3

Q: Example 5. The mean marks obtained by 300 students in the subject of Statistics are 45. The mean of ...

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Q: A. Determine whether the distribution is a probability distribution of a discrete random variable. E...

A: Properties of probability :1) sum of all probabilities is equal to one.2) probability values always ...

Q: 13. Two fair dice are rolled at once. Let X denote the difference in the number of dots appear on th...

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Q: The instructor takes a random sample of size from the population data and obtains the following samp...

A: The random variable X follows normal distribution. A sample of 6 observations is given. We have to f...

Q: 21-25. Between z = –0.76 and z = 1.35 26-30. Between z = 1.26 and z = 1.78 31-35. To the left of z =...

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Q: In a school, a test has been conducted in seven subjects and the marks of four students have been re...

A: Given, Student 1 Student 2 Student 3 Student 4 99 96 97 97 99 93 87 90 92 99 91 86 92 92...

Q: A machine is designed to fill 18-ounce bottles of shampoo. When the machine is working properly, the...

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Q: Suppose it is known that the IQ scores of a certain population of adults are approximately normally ...

A: Given that, the IQ scores of a certain population of adults are approximately normally distributed w...

Q: Colculate ;) the probobility distribution functonlpdf) ot min (x,g) =m and mox(m,s)-M :) Colculate ,...

A: Given the variables minx,y=m and maxx,y=M

Q: The Queen decided to change the distribution of wealth in Arecima. With the help of the royal statis...

A: Given Information: The mean was increased from 100 to 120. The standard deviation was reduced from 2...

Q: The test scores for the analytical writing section of a particular standardized test can be approxim...

A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its...

Q: In a trivariate distribution 01 = 2, 02 = 03 = 3 12 = 0:7, r23 = 131 = 0-5 %3| %3D %3D Find (i) b12-...

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Q: The weight of each baby born in a given week in provided in this table below. The mean weight is 7.2...

A: Given information: The mean weight is 7.25 pounds and the standard deviation is 1.03 pounds.

Q: Here is the 5 Number Summary for a set of data: 8 10.5 14 20.7 55 If you are constructing a box plot...

A: Given: Data 8 10.5 14 20.7 55

Q: For each of the following, indicate whether it is a positive linear, negative linear, or nonlinear r...

A: There is positive correlation if X increases then Y also increases.  There is a negative correlation...

Q: Here is the 5 Number Summary fora set of data: 0.0 6. 15 23 80 If the lower fence or boundary for ou...

A: Given5 number summery of a set of data is0.0 , 6 , 15, 23 , 80Lower fence or boudnary for outlier = ...

Q: Find the missing frequency in the following distribution if N is 100 and median is 30. Marks No. of ...

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Q: For two numerical variables X and Y, knowing that the correlation coefficient is equal to 0.45, (x; ...

A: Introduction: The two variables are X and Y. Denote the correlation coefficient between the two vari...

Q: If X and Y have joint pdf given by

A: From the given information, fX,Yx,y=2I0,yxI0,1y                =2, 0<x<y, 0<y<1