In 2004, the mean monthly cell phone bill was $50.44. A researcher thinks the cell phone bill is lower today. After using a sample of size of 61 bills, she found a sample mean bill of $50 with a sample standard deviation of $1.34. Is there enough evidence to conclude the bill is lower today if she wants to test her claim at a level of significance of 1%? a. State the null hypothesis: b. State the alternative hypothesis: c. Verify that the test statistic is t = -2.564 d. Find the critical value and draw the rejection region. e. Can you reject the null hypothesis?
In 2004, the mean monthly cell phone bill was $50.44. A researcher thinks the cell phone bill is lower today. After using a sample of size of 61 bills, she found a sample mean bill of $50 with a sample standard deviation of $1.34. Is there enough evidence to conclude the bill is lower today if she wants to test her claim at a level of significance of 1%? a. State the null hypothesis: b. State the alternative hypothesis: c. Verify that the test statistic is t = -2.564 d. Find the critical value and draw the rejection region. e. Can you reject the null hypothesis?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![In 2004, the mean monthly cell phone bill was $50.44. A researcher thinks the cell phone bill is lower today. After using a sample of size of 61 bills, she found a sample mean bill of $50 with a sample
standard deviation of $1.34. Is there enough evidence to conclude the bill is lower today if she wants to test her claim at a level of significance of 1%?
a. State the null hypothesis:
b. State the alternative hypothesis:
c. Verify that the test statistic is t = - 2.564
d. Find the critical value and draw the rejection region.
e. Can you reject the null hypothesis?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59c9f849-9820-4119-beb6-2f585a7a222b%2F71736c31-3ee6-434f-9b86-f9f561c86cf3%2Fuq5nsn_processed.png&w=3840&q=75)
Transcribed Image Text:In 2004, the mean monthly cell phone bill was $50.44. A researcher thinks the cell phone bill is lower today. After using a sample of size of 61 bills, she found a sample mean bill of $50 with a sample
standard deviation of $1.34. Is there enough evidence to conclude the bill is lower today if she wants to test her claim at a level of significance of 1%?
a. State the null hypothesis:
b. State the alternative hypothesis:
c. Verify that the test statistic is t = - 2.564
d. Find the critical value and draw the rejection region.
e. Can you reject the null hypothesis?
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