Hypothesis testing for single mean.
The data set includes a sample of 106 body temps with a mean of 98.20F Assume that o is known to be 0.62F. Consider a hypothesis test that uses a 0.05 significance level to test the claim that the mean body tem of the population is less than 98.6
a. what is the test statistic
b. what is the critical value
c. what is the P-value
d. what the ending about the null hypothesis is.
98.6
|
98.0
|
97.2
|
97.3
|
98.8
|
98.4
|
98.6
|
98.3
|
98.4
|
98.0
|
99.1
|
97.8
|
98.0
|
98.5
|
98.6
|
97.5
|
98.6
|
98.4
|
98.0
|
97.3
|
98.2
|
97.6
|
97.9
|
97.4
|
99.0
|
98.7
|
98.0
|
98.2
|
98.8
|
98.0
|
98.4
|
97.4
|
97.8
|
98.5
|
98.0
|
97.0
|
98.4
|
98.9
|
98.0
|
98.8
|
98.7
|
|
98.4
|
98.6
|
98.4
|
98.7
|
98.5
|
|
98.4
|
99.5
|
98.6
|
97.8
|
98.9
|
|
98.6
|
97.5
|
98.6
|
98.0
|
98.4
|
|
98.6
|
97.3
|
97.8
|
97.1
|
98.6
|
|
98.8
|
97.6
|
99.0
|
97.4
|
97.1
|
|
98.6
|
98.2
|
96.5
|
99.4
|
97.9
|
|
97.0
|
99.6
|
97.6
|
98.4
|
98.8
|
|
97.0
|
98.7
|
98.0
|
98.6
|
98.7
|
|
98.8
|
99.4
|
96.9
|
98.4
|
97.6
|
|
97.6
|
98.2
|
97.6
|
98.5
|
98.2
|
|
97.7
|
98.0
|
97.1
|
98.6
|
99.2
|
|
98.8
|
98.6
|
97.9
|
98.3
|
97.8
|
|
98.0
|
98.6
|
98.4
|
98.7
|
98.0
|
|