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Ivanna recently switched her primary doctor to one specializing in caring for elderly patients. On her new doctor's website, it says that the mean systolic

Ivanna recently switched her primary doctor to one specializing in caring for elderly patients. On her new doctor's website, it says that the mean systolic blood pressure among elderly females is

120

millimeters of mercury (

mmHg

). Ivanna believes the value is actually higher. She bases her belief on a recently reported study of

21

randomly selected, elderly females. The sample mean systolic blood pressure was

128

mmHg

, and the sample standard deviation was

21

mmHg

.

Assume that the systolic blood pressures of elderly females are approximately normally distributed. Based on the study, at the

0.10

level of significance, can it be concluded that

, the population mean systolic blood pressure among elderly females, is greater than

120

mmHg

?

Perform a one-tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)

(a)

State the null hypothesis

H0

and the alternative hypothesis

H1

.

H0:120
H1:>120
(b) Determine the type of test statistic to use.
t

Degrees of freedom:

(c) Find the value of the test statistic. (Round to three or more decimal places.)
1.722
(d) Find the p-value. (Round to three or more decimal places.)
0.048
(e)

Can it be concluded that the mean systolic blood pressure among elderly females is greater than

120

mmHg

?

Yes

No

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