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 98.27° F with a standard deviation of 1.14° F. Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is < 98.6° F. a) Identify the null and alternative hypotheses? Ho: ? HA: ? b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed O right-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 3 decimal places. e) Calculate your p-value. Write the result below, and be sure to round your final answer to 3 decimal places. f) Do you reject the null hypothesis? O We reject the null hypothesis, since the p-value is less than the significance level. O We fail to reject the null hypothesis, since the p-value is not less than the significance level. Select the statement below that best represents the conclusion that can be made. The sample data support the claim that the mean body temperature of a healthy adult is < 98.6° F. There is not sufficient sample evidence to support the claim that the mean body temperature of a healthy adult is < 98.6° F.
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 98.27° F with a standard deviation of 1.14° F. Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is < 98.6° F. a) Identify the null and alternative hypotheses? Ho: ? HA: ? b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed O right-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 3 decimal places. e) Calculate your p-value. Write the result below, and be sure to round your final answer to 3 decimal places. f) Do you reject the null hypothesis? O We reject the null hypothesis, since the p-value is less than the significance level. O We fail to reject the null hypothesis, since the p-value is not less than the significance level. Select the statement below that best represents the conclusion that can be made. The sample data support the claim that the mean body temperature of a healthy adult is < 98.6° F. There is not sufficient sample evidence to support the claim that the mean body temperature of a healthy adult is < 98.6° F.
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 98.27°F
with a standard deviation of 1.14°F.
Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is <
98.6° F.
a) Identify the null and alternative hypotheses?
Но: [2
HẠ: ?
b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)?
O left-tailed
O right-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 3 decimal
places.
e) Calculate your p-value. Write the result below, and be sure to round your final answer to 3 decimal
places.
f) Do you reject the null hypothesis?
O We reject the null hypothesis, since the p-value is less than the significance level.
O 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.
O The sample data support the claim that the mean body temperature of a healthy adult is < 98.6° F.
O There is not sufficient sample evidence to support the claim that the mean body temperature of a
healthy adult is < 98.6° F.
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