1. A local tennis pro-shop strings tennis rackets at the tension (pounds per square inch) requested by the customer. Recently a customer made a claim that the pro-shop consistently strings rackets at lower tensions, on average, than requested. To support this claim, the customer asked the pro shop to string 7 new rackets at 42 psi. Suppose the two-tailed P-value for the test described above (obtained from a computer printout) isGive the proper conclusion for the test. Usea=0.10
2. Suppose you want to test the claim that = 3.5. Given a sample size of n = 36 and a level of significance ofwhen should you reject H₀?
3. It is thought that not as many Americans buy presents to celebrate Valentine's Day anymore. A random sample of 4000 Americans yielded 2200 who bought their significant other a present and celebrated Valentine's Day. Estimate the true proportion of all Americans who celebrate Valentine'sDay using a 90% confidence interval. Express the answer in the form E and round to the nearest ten-thousandth.
4. Let t₀be a specific value of t. Find t₀such that the statement is true: P(t t₀) = 0.01 where df = 20.