8-6 p421 n10
Original claim: the quarters manufactured with the new equipment have weights with a standard deviation less than 0.062 grams
σ < 0.062

The Null Hypothesis
H₀: σ = 0.062

The Alternate Hypothesis
H₁: σ < 0.062

A sample of n = 24 has 23 degrees of freedom.
For a left tailed test and a level of significance, α = 0.05
χ²_critical = 13.091

Data:
s = 0.049
χ²_test = (24-1)×0.049² ⁄ 0.062² = 14.366

Because 14.366 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 quarters manufactured with the new equipment have weights with a standard deviation less than 0.062 grams