8-5 p411 n17
Original claim: the mean body temperature of healthy people is less thasn 98.6 degrees Fahrenheit
μ < 98.6
The Null Hypothesis
H0: μ = 98.6
The Alternate Hypothesis
H1: μ < 98.6
A sample of n = 106 has 105 degrees of freedom.
For a left tailed test and a level of significance, α = 0.05
tcritical = -1.659
Data:
x_= 98.2 and s = 0.62
ttest = (98.2-98.6) ⁄ (0.62 ⁄ √106) = -6.642
Because -6.642 is IN the Critical Region, we Reject the Null Hypothesis and the statistical analysis of the data can support the original claim.
Conclusion:
The sample data SUPPORT the claim that the mean body temperature of healthy people is less thasn 98.6 degrees Fahrenheit