To test H0: σ=2.2 versus H1: σ>2.2, a random sample of size n=24 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s=2.9, compute the test statistic. (b) If the researcher decides to test this hypothesis at the α=0.05 level of significance, use technology to determine the P-value. (c) Will the researcher reject the null hypothesis?

To test H0: σ=2.2 versus H1: σ>2.2, a random sample of size n=24 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s=2.9, compute the test statistic. (b) If the researcher decides to test this hypothesis at the α=0.05 level of significance, use technology to determine the P-value. (c) Will the researcher reject the null hypothesis?

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

To test H₀: σ=2.2 versus H₁: σ>2.2, a random sample of size n=24 is obtained from a population that is known to be normally distributed.

(a) If the sample standard deviation is determined to be s=2.9, compute the test statistic.

(b) If the researcher decides to test this hypothesis at the α=0.05 level of significance, use technology to determine the P-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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