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 21 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 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.)
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 21 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 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 21 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 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:(a) State the null hypothesis Ho and the alternative hypothesis H.
H :0
H :0
(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 critical 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?
O Yes ONo
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