Loretta, who turns  91  this year, has heard that the mean systolic blood pressure among the elderly is  115  millimeters of mercury (mmHg), but she believes that the actual value is higher. She bases her belief on a recently reported study of  22  randomly selected, elderly adults. The sample mean systolic blood pressure of the adults in the study was  125  mmHg, and the sample standard deviation was  21  mmHg. Assume that the population of systolic blood pressures of elderly adults is normally distributed. Based on the study, at the  0.05  level of significance, can it be concluded that  μ , the mean systolic blood pressure among elderly adults, is greater than  115  mmHg?   Perform a one-tailed test.   The null hypothesis: H0:   The alternative hypothesis: H1:   The type of test statistic: (Choose one)ZtChi squareF             The value of the test statistic:(Round to at least three decimal places.)   The p-value:(Round to at least three decimal places.)   Can it be concluded, at the 0.05 level of significance, that the mean systolic blood pressure among elderly adults is greater than  115  mmHg?   Yes     No

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Loretta, who turns 

91

 this year, has heard that the mean systolic blood pressure among the elderly is 

115

 millimeters of mercury (mmHg), but she believes that the actual value is higher. She bases her belief on a recently reported study of 

22

 randomly selected, elderly adults. The sample mean systolic blood pressure of the adults in the study was 

125

 mmHg, and the sample standard deviation was 

21

 mmHg.

Assume that the population of systolic blood pressures of elderly adults is normally distributed. Based on the study, at the 

0.05

 level of significance, can it be concluded that 

μ

, the mean systolic blood pressure among elderly adults, is greater than 

115

 mmHg?

 

Perform a one-tailed test.

 
The null hypothesis:
H0:
 
The alternative hypothesis:
H1:
 
The type of test statistic: (Choose one)ZtChi squareF      
     
The value of the test statistic:
(Round to at least three decimal places.)
 
The p-value:
(Round to at least three decimal places.)
 
Can it be concluded, at the 0.05 level of significance, that the mean systolic blood pressure among elderly adults is greater than 
115
 mmHg?
 
Yes
 
 
No
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