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An old medical textbook states that the mean sodium level for healthy adults is 142 mEq per liter of blood. A medical researcher modern dietary habits, the mean sodium level for healthy adults, μ, now differs from that given in the textbook. A random sample of 36 healthy adults is evaluated. The mean sodium level for the sample is 138 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 10 mEq. Assume that the population is normally distributed. Can we conclude, at the 0.05 level of significance, that the population mean adult sodium level differs from that given in the textbook? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H:0 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 we conclude that the population mean adult sodium level differs from that given in the textbook? μ X 0=0 ロ a S 2 OSO OO

An old medical textbook states that the mean sodium level for healthy adults is 142 mEq per liter of blood. A medical researcher modern dietary habits, the mean sodium level for healthy adults, μ, now differs from that given in the textbook. A random sample of 36 healthy adults is evaluated. The mean sodium level for the sample is 138 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 10 mEq. Assume that the population is normally distributed. Can we conclude, at the 0.05 level of significance, that the population mean adult sodium level differs from that given in the textbook? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H:0 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 we conclude that the population mean adult sodium level differs from that given in the textbook? μ X 0=0 ロ a S 2 OSO OO

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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An old medical textbook states that the mean sodium level for healthy adults is 142 mEq per liter of blood. A medical resear modern dietary habits, the mean sodium level for healthy adults, μ, now differs from that given in the textbook. A random sample of 36 healthy adults is evaluated. The mean sodium level for the sample is 138 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 10 mEq. Assume that the population is normally distributed. Can we conclude, at the 0.05 level of significance, that the population mean adult sodium level differs from that given in the textbook? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁ H₂₁:0 Ho 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 we conclude that the population mean adult sodium level differs from that given in the textbook? μ XI O S 0=0 OSO X р P ☐☐ 0<0 0>0 ²0 Ś
Transcribed Image Text:An old medical textbook states that the mean sodium level for healthy adults is 142 mEq per liter of blood. A medical resear modern dietary habits, the mean sodium level for healthy adults, μ, now differs from that given in the textbook. A random sample of 36 healthy adults is evaluated. The mean sodium level for the sample is 138 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 10 mEq. Assume that the population is normally distributed. Can we conclude, at the 0.05 level of significance, that the population mean adult sodium level differs from that given in the textbook? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁ H₂₁:0 Ho 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 we conclude that the population mean adult sodium level differs from that given in the textbook? μ XI O S 0=0 OSO X р P ☐☐ 0<0 0>0 ²0 Ś
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