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Tomatoes Use the data from Exercise

a. Using the four-step procedure with a two-sided alternative hypothesis, should you be able to reject the hypothesis that the population mean is 5 pounds using a significance level of 0.05? Why or why not?

The confidence interval is reported here: I am 95% confident the population mean is between 4.9 and 5.3 pounds.

b. Now test the hypothesis that the population mean is not 5 pounds using the four step procedure. Use a significance level of 0.05 and number your steps.

Exercise

Tomatoes The weights of four randomly and independently selected bags of tomatoes labeled 5 pounds were found to be 5.1, 5.0, 5.3, and 5.1 pounds. Assume Normality.

a. Find a 95% confidence interval for the mean weight of all bags of tomatoes.

b. Does the interval capture 5.0 pounds? Is there enough evidence to reject a mean weight of 5.0 pounds?

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