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Answer the following questions. The mean length of a work week for the population of workers was reported to be 45 hours. Suppose that we would like to take a current sample of workers to see whether the mean length of a work week has decreased from the previously reported 45 hours. Suppose a current sample of 100 workers provided a sample mean ( ̅) of 42 hours and sample standard deviation (s) of 10 hours. Use 5% significance level to test whether the mean length of a work week has decreased from the previously reported 45 hours. You have been asked to determine if male and female managers in a big company have the same level of education. Independent random samples were taken of 100 male managers and 100 female managers. For male managers, the sample mean was 16 years of schooling with sample standard deviation (s1) equals to 3. For female managers, the sample mean was 14 years of schooling with sample standard deviation (s2) equals to 4. Do you have any reason at the 5% significance level to think that male and female managers have the same level of education?

Answer the following questions. The mean length of a work week for the population of workers was reported to be 45 hours. Suppose that we would like to take a current sample of workers to see whether the mean length of a work week has decreased from the previously reported 45 hours. Suppose a current sample of 100 workers provided a sample mean ( ̅) of 42 hours and sample standard deviation (s) of 10 hours. Use 5% significance level to test whether the mean length of a work week has decreased from the previously reported 45 hours. You have been asked to determine if male and female managers in a big company have the same level of education. Independent random samples were taken of 100 male managers and 100 female managers. For male managers, the sample mean was 16 years of schooling with sample standard deviation (s1) equals to 3. For female managers, the sample mean was 14 years of schooling with sample standard deviation (s2) equals to 4. Do you have any reason at the 5% significance level to think that male and female managers have the same level of education?

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 19PFA
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Answer the following questions.

  1. The mean length of a work week for the population of workers was reported to be 45 hours. Suppose that we would like to take a current sample of workers to see whether the mean length of a work week has decreased from the previously reported 45 hours. Suppose a current sample of 100 workers provided a sample mean ( ̅) of 42 hours and sample standard deviation (s) of 10 hours. Use 5% significance level to test whether the mean length of a work week has decreased from the previously reported 45 hours.
  2. You have been asked to determine if male and female managers in a big company have the same level of education. Independent random samples were taken of 100 male managers and 100 female managers. For male managers, the sample mean was 16 years of schooling with sample standard deviation (s1) equals to 3. For female managers, the sample mean was 14 years of schooling with sample standard deviation (s2) equals to 4. Do you have any reason at the 5% significance level to think that male and female managers have the same level of education?
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