Homework Help is Here – Start Your Trial Now!
Math
Statistics
A laboratory claims that the mean sodium level, u, of a healthy adult is 141 mEq per liter of blood. To test this claim, a random sample of 48 adult patients is evaluated. The mean sodlum level for the sample is 136 mEq per liter of blood. It is known that the population standard devlation of adult sodilum levels is 13 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 claimed by the laboratory? 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 laboratory claims that the mean sodium level, u, of a healthy adult is 141 mEq per liter of blood. To test this claim, a random sample of 48 adult patients is evaluated. The mean sodlum level for the sample is 136 mEq per liter of blood. It is known that the population standard devlation of adult sodilum levels is 13 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 claimed by the laboratory? 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.)

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
Section10.1: Measures Of Center
Problem 4GP
See similar textbooks
icon
Related questions
Question
A laboratory claims that the mean sodium level, u, of a healthy adult is 141 mEg per liter of blood. To test this claim, a random sample of 48 adult patients is evaluated. The mean sodium level for the sample is 136 mEq per liter of blood. It is known that the population standard devlation of adult sodilum levels is 13 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 claimed by the laboratory? 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 H, and the alternative hypothesis H,. H :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the two critical values. (Round to three or more decimal places.) O and (e) Can we conclude that the population méan adult sodium level differs from that claimed by the laboratory? OYes ONo
Transcribed Image Text:A laboratory claims that the mean sodium level, u, of a healthy adult is 141 mEg per liter of blood. To test this claim, a random sample of 48 adult patients is evaluated. The mean sodium level for the sample is 136 mEq per liter of blood. It is known that the population standard devlation of adult sodilum levels is 13 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 claimed by the laboratory? 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 H, and the alternative hypothesis H,. H :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the two critical values. (Round to three or more decimal places.) O and (e) Can we conclude that the population méan adult sodium level differs from that claimed by the laboratory? OYes ONo
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS