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1) The amount of money spent on a haircut by a Math 119 class is right skewed with a mean of $33 and a standard deviation of $38. a) Fill in the blank to find the sampling distribution of the sample mean when the sample size is 100. X~ ( ) b) Use the CLT for sample means to find the probability that the sample mean of the 100 students will be greater than $25. Round all results to four decimal places. c) Find the probability that the total amount spent for the 100 students exceeds $3747. 2) Find t* for the following scenarios. Estimate with the closest value of n if it is not on the table: a) 95% confidence with n - 14. b) 90% confidence with n=71. c) 70% confidence with n ■ 31

1) The amount of money spent on a haircut by a Math 119 class is right skewed with a mean of $33 and a standard deviation of $38. a) Fill in the blank to find the sampling distribution of the sample mean when the sample size is 100. X~ ( ) b) Use the CLT for sample means to find the probability that the sample mean of the 100 students will be greater than $25. Round all results to four decimal places. c) Find the probability that the total amount spent for the 100 students exceeds $3747. 2) Find t* for the following scenarios. Estimate with the closest value of n if it is not on the table: a) 95% confidence with n - 14. b) 90% confidence with n=71. c) 70% confidence with n ■ 31

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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1) The amount of money spent on a haircut by a Math 119 class is right skewed with a mean of $33 and a standard deviation of $38. a) Fill in the blank to find the sampling distribution of the sample mean when the sample size is 100. *~ ( ) b) Use the CLT for sample means to find the probability that the sample mean of the 100 students will be greater than $25. Round all results to four decimal places. " c) Find the probability that the total amount spent for the 100 students exceeds $3747. 2) Find t* for the following scenarios. Estimate with the closest value of n if it is not on the table: a) 95% confidence with n = 14. b) 90% confidence with n = 71. c) 70% confidence with n = 31
Transcribed Image Text:1) The amount of money spent on a haircut by a Math 119 class is right skewed with a mean of $33 and a standard deviation of $38. a) Fill in the blank to find the sampling distribution of the sample mean when the sample size is 100. *~ ( ) b) Use the CLT for sample means to find the probability that the sample mean of the 100 students will be greater than $25. Round all results to four decimal places. " c) Find the probability that the total amount spent for the 100 students exceeds $3747. 2) Find t* for the following scenarios. Estimate with the closest value of n if it is not on the table: a) 95% confidence with n = 14. b) 90% confidence with n = 71. c) 70% confidence with n = 31
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