Question

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 6 new rackets at 68 psi. Suppose the two-tailed P-value for the test described above (obtained from a computer printout) is 0.07. Find the conclusion for the test at the 5% significance level.

		Accept H 0 and conclude that μ, the true mean tension of the rackets, equals 68 psi.
		There is insufficient evidence to conclude that μ, the true mean tension of the rackets, is less than 68 psi.
		There is sufficient evidence to conclude that μ, the true mean tension of the rackets, is less than 68 psi.
		Reject H 0 and conclude that μ, the true mean tension of the rackets, equals 68 psi.

Answer 1

Solution:

This is a two tailed test.

P-value = 0.07

Therefore, P-value = 0.07 > 0.05, it is conclude that fail to reject the null hypothesis.

Accept H ₀ and conclude that μ, the true mean tension of the rackets, equals 68 psi.

Answer 2

P=0.07 -0.05 R-valu > 2=0.05 The result not significant at X-0-05 Fail to reject the null hypothesis conclusion: evidence at The data does not provide sufficient x = 0.00 level of significan pro- shop consistantly strings rockets at lower tensions ce that the