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 42 psi. Suppose the two-tailed P-value for the test described above (obtained from a computer printout) is o.07. Give the proper conclusion for the test. Use a= 0.05. O A) There is insufficient evidence to conclude that µ, the true mean tension of the rackets, is less than 42 psi. B) There is sufficient evidence to conclude that u, the true mean tension of the rackets, is less than 42 psi. Reject Ho and conclude that u, the true mean tension of the rackets, equals 42 psi. D) Accept Ho and conclude that µ, the true mean tension of the rackets, equals 42 psi.

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Chapter1: Starting With Matlab
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**Provide an appropriate response.**

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 42 psi. Suppose the two-tailed P-value for the test described above (obtained from a computer printout) is 0.07. Give the proper conclusion for the test. Use α = 0.05.

- **A)** There is insufficient evidence to conclude that μ, the true mean tension of the rackets, is less than 42 psi.
- **B)** There is sufficient evidence to conclude that μ, the true mean tension of the rackets, is less than 42 psi.
- **C)** Reject H₀ and conclude that μ, the true mean tension of the rackets, equals 42 psi.
- **D)** Accept H₀ and conclude that μ, the true mean tension of the rackets, equals 42 psi.

***Explanation:***

Based on the information provided, the correct choice is **A)** There is insufficient evidence to conclude that μ, the true mean tension of the rackets, is less than 42 psi. 

This is because the P-value of 0.07 is greater than the significance level (α = 0.05). Therefore, we fail to reject the null hypothesis, suggesting that there is not enough evidence to support the claim that the mean tension is less than 42 psi.
Transcribed Image Text:**Provide an appropriate response.** 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 42 psi. Suppose the two-tailed P-value for the test described above (obtained from a computer printout) is 0.07. Give the proper conclusion for the test. Use α = 0.05. - **A)** There is insufficient evidence to conclude that μ, the true mean tension of the rackets, is less than 42 psi. - **B)** There is sufficient evidence to conclude that μ, the true mean tension of the rackets, is less than 42 psi. - **C)** Reject H₀ and conclude that μ, the true mean tension of the rackets, equals 42 psi. - **D)** Accept H₀ and conclude that μ, the true mean tension of the rackets, equals 42 psi. ***Explanation:*** Based on the information provided, the correct choice is **A)** There is insufficient evidence to conclude that μ, the true mean tension of the rackets, is less than 42 psi. This is because the P-value of 0.07 is greater than the significance level (α = 0.05). Therefore, we fail to reject the null hypothesis, suggesting that there is not enough evidence to support the claim that the mean tension is less than 42 psi.
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