Test Hypotheses About a Population Mean with Unknown
-A Local $0.08$

question 40

Multiple Choice

Test Hypotheses about a Population Mean with Unknown
-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 10 new rackets at 42 psi. Suppose the two-tailed P-value for the test described above (obtained from a computer printout) is $0.08$ . Give the proper conclusion for the test. Use $\alpha = 0.05$ .

• A) There is sufficient evidence to conclude that \(\mu\), the true mean tension of the rackets, is less than 42 psi.
• B) Accept \(\mathrm { H } _ { 0 }\) and conclude that \(\mu\), the true mean tension of the rackets, equals 42 psi.
• C) There is insufficient evidence to conclude that \(\mu\), the true mean tension of the rackets, is less than 42 psi.
• D) Reject \(\mathrm { H } _ { 0 }\) and conclude that \(\mu\), the true mean tension of the rackets, equals 42 psi.

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Definitions:

Standard Deviation

An evaluation of how spread out or dispersed a collection of data points is.

Normally Distributed

A data distribution pattern that follows the normal (bell curve) distribution.

Average Starting Salary

The mean initial compensation given to employees in a specific job or industry, often used as a benchmark for job seekers.

Standard Deviation

Standard deviation is a measure of the amount of variation or dispersion of a set of values, indicating how much individual values deviate from the mean.