Name Show all your work Section 10.3 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