at the mean systolic blood pressure among elderly females is 120 millimeters of mercury (mmHg). ue is actually higher. She bases her belief on a recently reported study of 19 randomly selected, eld mple mean systolic blood pressure was 134 mmHg, and the sample standard deviation was 25 mm e that the systolic blood pressures of elderly females are approximately normally distributed. Based 5 level of significance, can it be concluded that μ, the population mean systolic blood pressure amo s, is greater than 120 mmHg? n a one-tailed test. Then complete the parts below. your intermediate computations to three or more decimal places. (If necessary, consult a list of form State the null hypothesis Ho and the alternative hypothesis H₁. Ho :O H X S

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 5CR
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Question

EIGHTEEN

Options for part (b)

a. "Z"  b. "t"  c. "Chi-square"  d. "F"

Lena 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). Lena believes?
the value is actually higher. She bases her belief on a recently reported study of 19 randomly selected, elderly females.
The sample mean systolic blood pressure was 134 mmHg, and the sample standard deviation was 25 mmHg.
Assume that the systolic blood pressures of elderly females are approximately normally distributed. Based on the study at
the 0.05 level of significance, can it be concluded that μ, 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 Ho and the alternative hypothesis H₁.
Ho :O
H₁ : 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 p-value. (Round to three or more decimal places.)
(e) Can it be concluded that the mean systolic blood pressure among elderly
females is greater than 120 mmHg?
Yes O No
H
X
☐#0
O
x
S
ロ=ロ OSO 020
ロ<ロ
Р
<Q
5
O<O
Transcribed Image Text:Lena 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). Lena believes? the value is actually higher. She bases her belief on a recently reported study of 19 randomly selected, elderly females. The sample mean systolic blood pressure was 134 mmHg, and the sample standard deviation was 25 mmHg. Assume that the systolic blood pressures of elderly females are approximately normally distributed. Based on the study at the 0.05 level of significance, can it be concluded that μ, 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 Ho and the alternative hypothesis H₁. Ho :O H₁ : 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 p-value. (Round to three or more decimal places.) (e) Can it be concluded that the mean systolic blood pressure among elderly females is greater than 120 mmHg? Yes O No H X ☐#0 O x S ロ=ロ OSO 020 ロ<ロ Р <Q 5 O<O
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((EIGHTEEN))

(d) Find the p-value. (Round to three or more decimal places.)

(e) Can it be concluded that the mean systolic blood pressure among elderly
iS females is greater than 120 mmHg?
O Yes O No

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