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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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?
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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