A random sample of 10 independent healthy people showed the body temperatures given below (in degrees Fahrenheit). Test the hypothesis that the population mean is not 98.6 °F, using a significance level of 0.05. 98.3 98.5 99.0 96.2 98.4 98.9 97.8 99.3 98.7 97.4 O Ha: u# 98.6 Hg:= 98.6 Hu< 98.6 Check the conditions to see whether the test statistic will follow a t-distribution. The sample V random and the observations V independent. The distribution of the sample is Find the test statistic. (Round to two decimal places as needed.) Find the p-value. p-value =D (Round to three decimal places as needed.) Interpret the results of the test. Since the p-value is the significance level, Ho. There is V evidence to conclude that the population mean is not 98.6°F at a significance level of 0.05.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A random sample of 10 independent healthy people showed the body temperatures given below​ (in degrees​ Fahrenheit). Test the hypothesis that the population mean is not 98.6 ​F, using a significance level of 0.05.

98.3,  98.5,  99.0,  96.2,  98.4,  98.9, 97.8,  99.3,  98.7,  97.4

1. Find the test statistic. t =  ____  ​(Round to two decimal places as​ needed.)

2. p-value = ____ ​(Round to three decimal places as​ needed.)

3. Interpret the results of the test.

A random sample of 10 independent healthy people showed the body temperatures given below (in degrees Fahrenheit). Test the hypothesis that the population mean is not 98.6 °F, using a significance level of 0.05.
98.3 98.5 99.0 96.2 98.4 98.9 97.8 99.3
98.7 97.4 O
Ha: H# 98.6
Ha: u = 98.6
Ha: µ< 98.6
Check the conditions to see whether the test statistic will follow a t-distribution.
The sample
random and the observations
independent. The distribution of the sample is
Find the test statistic.
t=
(Round to two decimal places as needed.)
Find the p-value.
p-value =
(Round to three decimal places as needed.)
Interpret the results of the test.
Since the p-value is
the significance level,
Ho- There is
v evidence to conclude that the population mean is not 98.6°F at a significance level of 0.05.
Transcribed Image Text:A random sample of 10 independent healthy people showed the body temperatures given below (in degrees Fahrenheit). Test the hypothesis that the population mean is not 98.6 °F, using a significance level of 0.05. 98.3 98.5 99.0 96.2 98.4 98.9 97.8 99.3 98.7 97.4 O Ha: H# 98.6 Ha: u = 98.6 Ha: µ< 98.6 Check the conditions to see whether the test statistic will follow a t-distribution. The sample random and the observations independent. The distribution of the sample is Find the test statistic. t= (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) Interpret the results of the test. Since the p-value is the significance level, Ho- There is v evidence to conclude that the population mean is not 98.6°F at a significance level of 0.05.
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