test H0: μ=40 versus H1: μ<40, a random sample of size n=25 is obtained from a population that is known to be normally distributed. If x=37.1 and s=14.8, compute the test statistic of t0 and If the researcher decides to test this hypothesis at the α=0.1 level of significance, determine the critical value.

test H0: μ=40 versus H1: μ<40, a random sample of size n=25 is obtained from a population that is known to be normally distributed. If x=37.1 and s=14.8, compute the test statistic of t0 and If the researcher decides to test this hypothesis at the α=0.1 level of significance, determine the critical value.

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Description: o testH0:μ=40versusH1:μ<40,a random sample of sizen=25is obtained from a population that is known to be normally distributed.Ifx=37.1ands=14.8,compute the test statistic of t0 and If the researcher decides to test this hypothesis at theα=0.1level

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Question

o test

H0:

μ=40

versus

H1:

μ<40,

a random sample of size

n=25

is obtained from a population that is known to be normally distributed.

x=37.1

and

s=14.8,

compute the test statistic of t0 and If the researcher decides to test this hypothesis at the

α=0.1

level of significance, determine the critical value.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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