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Maya 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 115 millimeters of mercury (mmHg). Maya believes the value is actually higher. She bases her belief on a recently reported study of 22 randomly selected, elderly females. The sample mean systolic blood pressure was 124 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 μ, the population mean systolic blood pressure among elderly females, 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. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Η : μ Σ 10 Ο Η, : μ < 10 (b) Determine the type of test statistic to use. t Degrees of freedom: 16 (c) Find the value of the test statistic. (Round to three or more decimal places.) 2 (d) Find the p-value. (Round to three or more decimal places.) 0.112 μ σ p x S ロ=ロ 믐 □≠□ □<ロ □>□ × G (e) Can it be concluded that the mean systolic blood pressure among elderly females is greater than 115 mmHg? Yes O No

Maya 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 115 millimeters of mercury (mmHg). Maya believes the value is actually higher. She bases her belief on a recently reported study of 22 randomly selected, elderly females. The sample mean systolic blood pressure was 124 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 μ, the population mean systolic blood pressure among elderly females, 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. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Η : μ Σ 10 Ο Η, : μ < 10 (b) Determine the type of test statistic to use. t Degrees of freedom: 16 (c) Find the value of the test statistic. (Round to three or more decimal places.) 2 (d) Find the p-value. (Round to three or more decimal places.) 0.112 μ σ p x S ロ=ロ 믐 □≠□ □<ロ □>□ × G (e) Can it be concluded that the mean systolic blood pressure among elderly females is greater than 115 mmHg? Yes O No

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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 6CR
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Maya 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 115 millimeters of mercury (mmHg). Maya believes the value is actually higher. She bases her belief on a recently reported study of 22 randomly selected, elderly females. The sample mean systolic blood pressure was 124 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 μ, the population mean systolic blood pressure among elderly females, 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. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Η : μ Σ 10 Ο Η, : μ < 10 (b) Determine the type of test statistic to use. t Degrees of freedom: 16 (c) Find the value of the test statistic. (Round to three or more decimal places.) 2 (d) Find the p-value. (Round to three or more decimal places.) 0.112 μ σ p x S ロ=ロ 믐 □≠□ □<ロ □>□ × G
Transcribed Image Text:Maya 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 115 millimeters of mercury (mmHg). Maya believes the value is actually higher. She bases her belief on a recently reported study of 22 randomly selected, elderly females. The sample mean systolic blood pressure was 124 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 μ, the population mean systolic blood pressure among elderly females, 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. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Η : μ Σ 10 Ο Η, : μ < 10 (b) Determine the type of test statistic to use. t Degrees of freedom: 16 (c) Find the value of the test statistic. (Round to three or more decimal places.) 2 (d) Find the p-value. (Round to three or more decimal places.) 0.112 μ σ p x S ロ=ロ 믐 □≠□ □<ロ □>□ × G
(e) Can it be concluded that the mean systolic blood pressure among elderly females is greater than 115 mmHg? Yes O No
Transcribed Image Text:(e) Can it be concluded that the mean systolic blood pressure among elderly females is greater than 115 mmHg? Yes O No
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