# Question: a Compute the p value in order to test the following

a. Compute the p-value in order to test the following hypotheses given that x̄ = 52, n = 9, and σ = 5.

H0: µ = 50

H1: µ > 50

b. Repeat part (a) with n = 25.

c. Repeat part (a) with n = 100.

d. Describe what happens to the value of the test statistic and its p-value when the sample size increases.

H0: µ = 50

H1: µ > 50

b. Repeat part (a) with n = 25.

c. Repeat part (a) with n = 100.

d. Describe what happens to the value of the test statistic and its p-value when the sample size increases.

**View Solution:**## Answer to relevant Questions

a. A statistics practitioner formulated the following hypotheses.H0: µ = 200H1: µ < 200And learned that x̄ = 190, n = 9, and σ = 50Compute the p-value of the test.b. Repeat part (a) with σ = 30.c. Repeat part (a) with ...Redo Example 11.1 witha. N = 200b. N = 100c. Describe the effect on the test statistic and the p-value when n increases.Refer to Example 11.2. Create a table that shows the effect on the test statistic and the p-value of changing the value of the sample mean. Use x̄ = 15.0, 15.5, 16.0, 16.5, 17.0, 17.5, 18.0, 18.5, and 19.0A manufacturer of light bulbs advertises that, on average, its long-life bulb will last more than 5,000 hours. To test the claim, a statistician took a random sample of 100 bulbs and measured the amount of time until each ...Many Alpine ski centers base their projections of revenues and profits on the assumption that the average Alpine skier skis four times per year. To investigate the validity of this assumption, a random sample of 63 skiers is ...Post your question