Chapter PVI, Problem 11RE

(a)

To determine

To explain to someone who has not studied statistics what the P-value mean here.

Explanation of Solution

It is given in the question that in the Midwestern United States, a large aquaculture industry raises largemouth bass. The researchers reported the P-values for differences in both measurements to be less than $0.001$ . So, in this case, the P-value implies that if there is no difference between the average fish sizes, the chance of seeing an observed difference is large just by natural sampling variations is less than $0.1\%$ .

(b)

To determine

To explain what advice should the researchers give the people who raise largemouth bias.

Explanation of Solution

It is given in the question that in the Midwestern United States, a large aquaculture industry raises largemouth bass. The researchers reported the P-values for differences in both measurements to be less than $0.001$ .As we know that if the P-value is less than or equal to the significance level then the null hypothesis is rejected, so we have,

  $P<0.05\Rightarrow \text{Reject }{H}_0$

Thus, we conclude that there is a significant increase of growth if fed minnows or natural diet compared to others. Thus, if the cost is justified, feed them a natural diet.

(c)

To determine

To find out what type of error occurred if that advice turns out to be incorrect.

Answer to Problem 11RE

Type I error has occurred.

Explanation of Solution

It is given in the question that in the Midwestern United States, a large aquaculture industry raises largemouth bass. The researchers reported the P-values for differences in both measurements to be less than $0.001$ . Since we have rejected the null hypothesis and if advice turns to be incorrect then Type I error has occurred.