Answer:
Step-by-step explanation:
Given that a data set includes 109 body temperatures of healthy adult humans for which sample mean =98.2°F and s equals 0.62 degrees
Std error of mean = [tex]\frac{s}{\sqrt{n} } \\=0.0594\\[/tex]
df = 108
Critical value for 99% t =2.581
Margin of error = 2.581*std error = 0.1533
99% confidence interval = Mean ±0.1533
=[tex](98.0467, 98.3533)[/tex]
a) Since the confidence interval does not contain 98.6 degrees we reject the null hypothesis that mean = 98.6 degrees
b) confidence interval for population mean = 98.6±0.1533
=[tex](98.4467, 98.7533)[/tex]
