Hypothesis test Leila 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). Leila believes the value is actually higher. She bases her belief on a recently reported study of 15 randomly selected, elderly females. The sample mean systolic blood pressure was 131 mmHg, and the sample standard deviation was 20 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 H, and the alternative hypothesis H₁. Ho :D 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.) 0 (d) Find the critical value. (Round to three or more decir places.) 0 (e) Can it be concluded that the mean systolic blood pressure among elderly females is greater than 120 mmHg? OYes O No H X 0=0 0-0 X O S 0 Р ê $ DO OSO 020 O< >O Español 6 V ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 14PPS
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Hypothesis test for the population mean: t test using the critical...
Leila 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). Leila believes the value is actually higher. She bases her belief on a recently reported
study of 15 randomly selected, elderly females. The sample mean systolic blood pressure was 131 mmHg, and the sample standard deviation was 20 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 H, and the alternative hypothesis H₁.
Ho :D
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.)
0
(d) Find the critical value. (Round to three or more decimal places.)
0
(e) Can it be concluded that the mean systolic blood pressure among elderly
females is greater than 120 mmHg?
OYes No
F
X
0=0
0*0
X
O
S
Oso
O<O
Р
<Q
3
010
020
O<O
Español
m
As
?
Transcribed Image Text:Hypothesis test for the population mean: t test using the critical... Leila 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). Leila believes the value is actually higher. She bases her belief on a recently reported study of 15 randomly selected, elderly females. The sample mean systolic blood pressure was 131 mmHg, and the sample standard deviation was 20 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 H, and the alternative hypothesis H₁. Ho :D 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.) 0 (d) Find the critical value. (Round to three or more decimal places.) 0 (e) Can it be concluded that the mean systolic blood pressure among elderly females is greater than 120 mmHg? OYes No F X 0=0 0*0 X O S Oso O<O Р <Q 3 010 020 O<O Español m As ?
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