# Question: Rework Exercise 13 38 basing the decision on the P value corresponding

Rework Exercise 13.38, basing the decision on the P-value corresponding to the observed value of the test statistic.

In exercise

Sample surveys conducted in a large county in a certain year and again 20 years later showed that originally the average height of 400 ten-year-old boys was 53.8 inches with a standard deviation of 2.4 inches, whereas 20 years later the average height of 500 ten-year- old boys was 54.5 inches with a standard deviation of 2.5 inches. Use the four steps on page 354 and the 0.05 level of significance to test the null hypothesis µ1 – µ2 = –0.5 against the alternative hypothesis µ1 – µ2 < –0.5.

In exercise

Sample surveys conducted in a large county in a certain year and again 20 years later showed that originally the average height of 400 ten-year-old boys was 53.8 inches with a standard deviation of 2.4 inches, whereas 20 years later the average height of 500 ten-year- old boys was 54.5 inches with a standard deviation of 2.5 inches. Use the four steps on page 354 and the 0.05 level of significance to test the null hypothesis µ1 – µ2 = –0.5 against the alternative hypothesis µ1 – µ2 < –0.5.

## Answer to relevant Questions

Suppose that independent random samples of size n from two normal populations with the known variances σ21 and σ22 are to be used to test the null hypothesis µ1 – µ2 = ∂t against the alternative hypothesis µ1 – ...The following are the average weekly losses of work- hours due to accidents in 10 industrial plants before and after a certain safety program was put into operation: 45 and 36, 73 and 60, 46 and 44, 124 and 119, 33 and 35, ...With reference to Example 13.5, test the null hypothesis σ1 – σ2 = 0 against the alternative hypothesis σ1 – σ2 > 0 at the 0.05 level of significance. In a random sample, 12 of 14 industrial accidents were due to unsafe working conditions. Use the 0.01 level of significance to test the null hypothesis θ = 0.40 against the alternative hypothesis θ ≠ 0.40. Making use of the result of Exercise 8θ28 on page 250, show that for large random samples from normal populations, tests of the null hypothesis σ2 = σ20 can be based on the statistic Which has approximately the standard ...Post your question