8-5 p411 n26
Original claim: the mean sugar content (grams of sugar per gram of cereal) is less than 0.3
μ < 0.3

The Null Hypothesis
H₀: μ = 0.3

The Alternate Hypothesis
H₁: μ < 0.3

A sample of n = 16 has 15 degrees of freedom.
For a left tailed test and a level of significance, α = 0.05
t_critical = -1.753

Data:
x_= 0.295 and s = 0.168
t_test = (0.295-0.3) ⁄ (0.168 ⁄ √16) = -0.119

Because -0.119 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 mean sugar content (grams of sugar per gram of cereal) is less than 0.3