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A simple random sample of size n = 16 is drawn from a population that is normally distributed. The sample mean is found to be x= 21.2 and the sample standard deviation is found to be s= 6.5. Determine if the population mean is different from 26 at the a = 0.05 level of significance. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table ot criical t-values (a) Determine the null and alternative hypotheses. H,: (Type integers or decimals. Do not round.) (b) Identify the test statistic. (Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range (c) State the conclusion for the test.

A simple random sample of size n = 16 is drawn from a population that is normally distributed. The sample mean is found to be x= 21.2 and the sample standard deviation is found to be s= 6.5. Determine if the population mean is different from 26 at the a = 0.05 level of significance. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table ot criical t-values (a) Determine the null and alternative hypotheses. H,: (Type integers or decimals. Do not round.) (b) Identify the test statistic. (Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range (c) State the conclusion for the test.

Calculus For The Life Sciences
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.CR: Chapter 13 Review
Problem 9CR
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A simple random sample of size n= 16 is drawn from a population that is normally distributed. The sample mean is found to be x= 21.2 and the sample standard deviation is found to be s= 6.5. Determine if the population mean is different from 26 at the a= 0.05 level of significance. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of criticaltevalmes (a) Determine the null and alternative hypotheses. Ho H,: (Type integers or decimals. Do not round.) (b) Identify the test statistic. (Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range (c) State the conclusion for the test.
Transcribed Image Text:A simple random sample of size n= 16 is drawn from a population that is normally distributed. The sample mean is found to be x= 21.2 and the sample standard deviation is found to be s= 6.5. Determine if the population mean is different from 26 at the a= 0.05 level of significance. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of criticaltevalmes (a) Determine the null and alternative hypotheses. Ho H,: (Type integers or decimals. Do not round.) (b) Identify the test statistic. (Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range (c) State the conclusion for the test.
(c) State the conclusion for the test. O A. Reject H, because the P-value is greater than the a = 0.05 level of significance. O B. Reject H, because the P-value is less than the a = 0.05 level of significance. OC. Do not reject Ho because the P-value is greater than the a= 0.05 level of significance. O D. Do not reject Hg because the P-value is less than the a = 0.05 level of significance. (d) State the conclusion in context of the problem. There sufficient evidence at the a = 0.05 level of significance to conclude that the population mean is 26.
Transcribed Image Text:(c) State the conclusion for the test. O A. Reject H, because the P-value is greater than the a = 0.05 level of significance. O B. Reject H, because the P-value is less than the a = 0.05 level of significance. OC. Do not reject Ho because the P-value is greater than the a= 0.05 level of significance. O D. Do not reject Hg because the P-value is less than the a = 0.05 level of significance. (d) State the conclusion in context of the problem. There sufficient evidence at the a = 0.05 level of significance to conclude that the population mean is 26.
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