A very large company is interested in its employees' productivity. The company reports from its historical data that its employees spend a mean of 151 minutes per employee (on a typical day) dealing with email. To test this claim, an independent consultant chooses 21 employees at random and finds that those employees spend a sample mean of 160 minutes dealing with email, with a sample standard deviation of 21 minutes. Assume that the population of amounts of time employees spend dealing with email is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to reject the claim that u, the mean number of minutes employees spend dealing with email, is equal to 151. (a) State the null hypothesis H and the alternative hypothesis H, that you would use for the test. Ho: I H: I OSO O=0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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(Round to 3 decimal places.)
+
3.
-3
2
1
(c) Based on your answer to part (b), choose what can be concluded, at the 0.10 level of significance, about the claim made by the company.
O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is
enough evidence to reject the claim that the mean number of minutes employees spend dealing with email is equal to
151.
Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is
not enough evidence to reject the claim that the mean number of minutes employees spend dealing with email is
equal to 151.
O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence
to reject the claim that the mean number of minutes employees spend dealing with email is equal to 151.
Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough
Transcribed Image Text:(Round to 3 decimal places.) + 3. -3 2 1 (c) Based on your answer to part (b), choose what can be concluded, at the 0.10 level of significance, about the claim made by the company. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that the mean number of minutes employees spend dealing with email is equal to 151. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that the mean number of minutes employees spend dealing with email is equal to 151. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that the mean number of minutes employees spend dealing with email is equal to 151. Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough
A very large company is interested in its employees' productivity. The company reports from its historical data that its employees spend a mean of 151 minutes
per employee (on a typical day) dealing with email. To test this claim, an independent consultant chooses 21 employees at random and finds that those
employees spend a sample mean of 160 minutes dealing with email, with a sample standard deviation of 21 minutes. Assume that the population of anmounts of
time employees spend dealing with email is approximately normally distributed.
Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to reject the claim that u, the mean
number of minutes employees spend dealing with email, is equal to 151.
(a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test.
H:
O<O
OSO
O=D
Transcribed Image Text:A very large company is interested in its employees' productivity. The company reports from its historical data that its employees spend a mean of 151 minutes per employee (on a typical day) dealing with email. To test this claim, an independent consultant chooses 21 employees at random and finds that those employees spend a sample mean of 160 minutes dealing with email, with a sample standard deviation of 21 minutes. Assume that the population of anmounts of time employees spend dealing with email is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to reject the claim that u, the mean number of minutes employees spend dealing with email, is equal to 151. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H: O<O OSO O=D
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