QuestionThe weights of four randomly and independently selected bags of tomatoes labeled 5 pounds were found to be $5.2,4.9,5.2$, and 5. 맘 Assume Normality. a. Using a two-sided alternative hypothesis, should you be able to reject the hypothesis that the population mean is 5pounds using a significance level of 0.05 Why or why not? The confidence interval is reported here: I am 95\%onfident the population mean is between 4.8and 5.3pounds. b. Now test the hypothesis that the population mean is not 5 pounds. Use a significance level of 0.05 . b. Determine the null and alternative hypotheses. Choose the correct answer below. A. $\mathrm{H}_{0}: \mu=5$ B. $H_{0}: \mu=5$ C. $\mathrm{H}_{0}: \mu>5$ $H_{a}: \mu<5$ $H_{a}: \mu>5$ $H_{a}: \mu \leq 5$ D. $$\begin{array}{l} H_{0}: \mu \neq 5 \\ H_{a}: \mu=5 \end{array}$$ E. $$\begin{array}{l} H_{0}: \mu=5 \\ H_{a}: \mu \neq 5 \end{array}$$ F. $\mathrm{H}_{0}: \mu<5$ $H_{a}: \mu \geq 5$
Find the test statistic. $\mathrm{t}=$ $\square$ (Round to two decimal places as needed.)