Chapter 9.3, Problem 89E

(a)

To determine

To Explain: the one disadvantage of using $\alpha =0.10$ instead of $\alpha =0.05$ when performing the test.

Answer to Problem 89E

There is the most likely to have a type I error

Explanation of Solution

Type I error: Reject the null hypothesis $H_0$ , once the null hypothesis $H_0$ is true.

  $\alpha$ Showing the probability of a type I error

If increase $\alpha =0.05\text{to}\alpha =0.10,$ then the probability of a type I error increases and therefore would be more likely to make a type I error which is a disadvantage

(b)

To determine

To Explain: one disadvantage of taking a random sample of 500 potatoes instead of 250 potatoes from the shipment.

Answer to Problem 89E

More time-consuming and costly to collect the data

Explanation of Solution

If increase the sample size of 250 potatoes to 500 potatoes, then it would be more time-consuming and costly to collect the data for the 500 potatoes compared to the 250 potatoes (as there are twice as many potatoes about which we need to collect data).