8-5 p411 n18
Original claim: the new balls have bounce heights with a mean different from 92.84 inches
μ ≠ 92.84

The Null Hypothesis
H₀: μ = 92.84

The Alternate Hypothesis
H₁: μ ≠ 92.84

A sample of n = 40 has 39 degrees of freedom.
For a two tailed test and a level of significance, α = 0.05
t_critical = -2.023 and 2.023

Data:
x_= 92.67 and s = 1.79
t_test = (92.67-92.84) ⁄ (1.79 ⁄ √40) = -0.601

Because -0.601 is NOT in the Critical Region, we Fail to Reject the Null Hypothesis and the statistical analysis of the data can NOT support the original claim.

Conclusion:
There is NOT sufficient sample evidence to support the claim that the new balls have bounce heights with a mean different from 92.84 inches