mple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be x = 23.9 and the sample standard iation is found to be s = 6.3. Determine if the population mean is different from 26 at the a = 0.01 level of significance. Complete parts (a) through (d) below. Determine the null and alternative hypotheses. 26 26 Calculate the P-value. alue =| und to three decimal places as needed.) State the conclusion for the test. A. Reject Ho because the P-value is less than the a = 0.01 level of significance. B. Reject Ho because the P-value is greater than the a = 0.01 level of significance. C. Do not reject Ho because the P-value is less than the a =0.01 level of significance. f oignifionnon

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(d) State the conclusion in context of the problem.
There
sufficient evidence at the a = 0.01 level of significance to conclude that the population mean is different from 26.
Transcribed Image Text:(d) State the conclusion in context of the problem. There sufficient evidence at the a = 0.01 level of significance to conclude that the population mean is different from 26.
A simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be x = 23.9 and the sample standard
deviation is found to be s = 6.3. Determine if the population mean is different from 26 at the a = 0.01 level of significance. Complete parts (a) through (d) below.
(a) Determine the null and alternative hypotheses.
Ho:
26
H4:
26
(b) Calculate the P-value.
P-value
(Round to three decimal places as needed.)
(c) State the conclusion for the test.
O A. Reject Ho because the P-value is less than the a = 0.01 level of significance.
B. Reject Ho because the P-value is greater than the a = 0.01 level of significance.
O C. Do not reject Ho because the P-value is less than the a= 0.01 level of significance.
O D. Do not reject H, because the P-value is greater than the a = 0.01 level of significance.
Transcribed Image Text:A simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be x = 23.9 and the sample standard deviation is found to be s = 6.3. Determine if the population mean is different from 26 at the a = 0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. Ho: 26 H4: 26 (b) Calculate the P-value. P-value (Round to three decimal places as needed.) (c) State the conclusion for the test. O A. Reject Ho because the P-value is less than the a = 0.01 level of significance. B. Reject Ho because the P-value is greater than the a = 0.01 level of significance. O C. Do not reject Ho because the P-value is less than the a= 0.01 level of significance. O D. Do not reject H, because the P-value is greater than the a = 0.01 level of significance.
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