# Question: A state executive claims that the average number of acres

A state executive claims that the average number of acres in western Pennsylvania state parks is less than 2000 acres. A random sample of five parks is selected, and the number of acres is shown. At α = 0.01, is there enough evidence to support the claim?

Perform each of the following steps.

a. State the hypotheses and identify the claim.

b. Find the critical value(s).

c. Find the test value.

d. Make the decision.

e. Summarize the results.

Use the traditional method of hypothesis testing unless otherwise specified.

Assume that the population is approximately normally distributed.

Perform each of the following steps.

a. State the hypotheses and identify the claim.

b. Find the critical value(s).

c. Find the test value.

d. Make the decision.

e. Summarize the results.

Use the traditional method of hypothesis testing unless otherwise specified.

Assume that the population is approximately normally distributed.

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

The average local cell phone call length was reported to be 2.27 minutes. A random sample of 20 phone calls showed an average of 2.98 minutes in length with a standard deviation of 0.98 minute. At α = 0.05 can it be ...A survey by Men’s Health magazine stated that 14% of men said they used exercise to reduce stress. Use α = 0.10. A random sample of 100 men was selected, and 10 said that they used exercise to relieve stress. Use the ...A report by the NCAA states that 57.6% of football injuries occur during practices. A head trainer claims that this is too high for his conference, so he randomly selects 36 injuries and finds that 17 occurred during ...The percentage of physicians who are women is 27.9%. In a survey of physicians employed by a large university health system, 45 of 120 randomly selected physicians were women. Is there sufficient evidence at the 0.05 level ...Using Table G, find the P-value interval for each x2 test value. a. x2 = 29.321, n = 16, right-tailed b. x2 = 10.215, n = 25, left-tailed c. x2 = 24.672, n = 11, two-tailed d. x2 = 23.722, n = 9, right-tailed e. x2 = 13.974, ...Post your question