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 51 healthy people and found that they had a mean body temperature of 98.31°F with a standard deviation of 0.94°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.

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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 51 healthy people and found that they had a mean body
temperature of 98.31°F with a standard deviation of 0.94°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?
Ho: ?V
H₁: ?
b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)?
O left-tailed
Oright-tailed
O two-tailed
c) Identify the appropriate significance level.
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?
Owe reject the null hypothesis, since the p-value is less than the significance
level.
O We reject the null hypothesis, since the p-value is not less than the
significance level.
O We fail to reject the null hypothesis, since the p-value is less than the
significance level.
Owe 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.
O There is sufficient evidence to warrant rejection of the claim that the mean
body temperature of a healthy adult is not 98.6°F.
O 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.
O The sample data support the claim that the mean body temperature of a
healthy adult is not 98.6°F.
O There is not sufficient sample evidence to support the claim that the mean
body temperature of a healthy adult is not 98.6°F.
Transcribed Image Text: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 51 healthy people and found that they had a mean body temperature of 98.31°F with a standard deviation of 0.94°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? Ho: ?V H₁: ? b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed Oright-tailed O two-tailed c) Identify the appropriate significance level. 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? Owe reject the null hypothesis, since the p-value is less than the significance level. O We reject the null hypothesis, since the p-value is not less than the significance level. O We fail to reject the null hypothesis, since the p-value is less than the significance level. Owe 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. O There is sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6°F. O 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. O The sample data support the claim that the mean body temperature of a healthy adult is not 98.6°F. O There is not sufficient sample evidence to support the claim that the mean body temperature of a healthy adult is not 98.6°F.
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