What is the test statistic


Discussion:

Q: Here is a sample of 106 body temperatures (attached file) with a mean of 98.20 F. Assume that σ is known to be 0.62 F. Consider a hypothesis test uses a 0.05 significance level to test the claim that the mean body temperatures of the population is less than 98.6F.

a. What is the test statistic?

b. What is the critical value?

c. What is the P-value?

d. What is the conclusion about the null hypothesis (reject, fail to reject)?

e. What is the final conclusion in simple nontechnical terms?

98.6
98.6
98.0
98.0
99.0
98.4
98.4
98.4
98.4
98.6
98.6
98.8
98.6
97.0
97.0
98.8
97.6
97.7
98.8
98.0
98.0
98.3
98.5
97.3
98.7
97.4
98.9
98.6
99.5
97.5
97.3
97.6
98.2
99.6
98.7
99.4
98.2
98.0
98.6
98.6
97.2
98.4
98.6
98.2
98.0
97.8
98.0
98.4
98.6
98.6
97.8
99.0
96.5
97.6
98.0
96.9
97.6
97.1
97.9
98.4
97.3
98.0
97.5
97.6
98.2
98.5
98.8
98.7
97.8
98.0
97.1
97.4
99.4
98.4
98.6
98.4
98.5
98.6
98.3
98.7
98.8
99.1
98.6
97.9
98.8
98.0
98.7
98.5
98.9
98.4
98.6
97.1
97.9
98.8
98.7
97.6
98.2
99.2
97.8
98.0
98.4
97.8
98.4
97.4
98.0
97.0

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Basic Statistics: What is the test statistic
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