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 18 randomly selected, elderly adults. The sample mean systolic blood pressure of the adults in the study was 128 mmHg, and the sample standard deviation was 22 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. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question
(a) State the null hypothesis 
H0
 and the alternative hypothesis 
H1
.
H0:
H1:
(b) Determine the type of test statistic to use.
  ▼(Choose one)
 
(c) Find the value of the test statistic. (Round to three or more decimal places.)
 
(d) Find the p-value. (Round to three or more decimal places.)
 
(e) 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
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 18 randomly selected, elderly adults. The sample mean systolic blood pressure of
the adults in the study was 128 mmHg, and the sample standard deviation was 22 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 u, the mean systolic blood pressure among elderly adults, is greater than 115 mmHg?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of
formulas.)
Transcribed Image Text: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 18 randomly selected, elderly adults. The sample mean systolic blood pressure of the adults in the study was 128 mmHg, and the sample standard deviation was 22 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 u, the mean systolic blood pressure among elderly adults, is greater than 115 mmHg? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
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