It is commonly believed that the mean body temperature of a healthy adult is 98.6∘F. You are not entirely convinced. You believe that it is not 98.6∘F. You collected data using 49 healthy people and found that they had a mean body temperature of 98.24∘F with a standard deviation of 1.05∘F. Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is not 98.6∘F. a) Identify the null and alternative hypotheses? H0: H1: b) What type of hypothesis test should you conduct (left-, rig
It is commonly believed that the
a) Identify the null and alternative hypotheses?
H0:
H1:
b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)?
- left-tailed
- right-tailed
- two-tailed
c) Identify the appropriate significance level as a decimal.
d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places.
e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places.
f) Do you reject the null hypothesis?
- We reject the null hypothesis, since the p-value is less than the significance level.
- We reject the null hypothesis, since the p-value is not less than the significance level.
- We fail to reject the null hypothesis, since the p-value is less than the significance level.
- We fail to reject the null hypothesis, since the p-value is not less than the significance level.
g) Select the statement below that best represents the conclusion that can be made.
- There is sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6∘F
- .
- There is not sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6∘F
- .
- The is sufficent evidence to support the claim that the mean body temperature of a healthy adult is not 98.6∘F
- .
- There is not sufficient evidence to support the claim that the mean body temperature of a healthy adult is not 98.6∘F
.
Given,
Population mean
Sample size(n) = 49
Sample mean
Standard deviation (s)=1.05
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