Question

*A trainer was interested in determining whether a specially made shoe resulted in a higher jumping average than the standard of 12.7 inches. The trainer treated a random sample of n = 33 athletes to use the specialty shoe and subsequently obtained the following heights:

11.5 11.8 15.7 16.1 14.1 10.5 9.3 15.0 11.1
15.2 19.0 12.8 12.4 19.2 13.5 12.2 13.3
16.5 13.5 14.4 16.7 10.9 13.0 10.3 15.8
15.1 17.1 13.3 12.4 8.5 14.3 12.9 13.5

At 5% level of significance, test the claim that the specially made shoes is greater than the standard jumping height

5) Use the p-value to make a decision and write a conclusion making sure to include the level of significance and hypotheses.

*A test is conducted on 25 lemon trees of the same species to compare two fertilizers, A and B. A sample of 13 lemon trees randomly selected from the group are given fertilizer A and the remaining trees are given fertilizer B. From observations made over a three-week period, the average fruits produced by each lemon tree is recorded below:

Lemon Fruit Yield (for each tree)
fertilizer A (x1) 44 44 56 46 47 38 58 53 49 35 46 30 41
fertilizer B (x2) 35 47 55 29 40 39 32 41 42 57 51 39

Assume these two samples come from independent normally distributed populations.

10) Use the p-value to make a decision and write a conclusion making sure to include the level of significance and hypotheses.

Answer 1

Dear student we can provide you with the solution of 1 question at a time.

1)

significance level :

The P value is less than the significance level 0.05, henece we can reject the null hypothesis.

Thus we have evidence that the specially made shoes is greater than the standard jumping height.