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= 30 2 and the sample standard deviation is found to be s= 6.3. Determine if the population mean is different from 24 at the a = 0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses Ho V 24 V 24 H, (b) Calculate the P-value. P-value =O (Round to three decimal places as needed.) (c) State the conclusion for the test O A. Reject H, because the P-value is less than the a= 0.01 level of significance. O B. Reject Hg because the P-value is greater than the a = 0.01 level of significance OC. Do not reject H, because the P.value is greater than the a= 0.01 level of significance. O D. Do not reject H, because the P.value is less than the a = 0.01 level of significance. (d) State the conclusion in context of the problem. There V sufficient evidence at the a= 0.01 level of significance to conclude that the population mean is different from 24.

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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= 30.2 and the sample standard deviation is found to be s = 6.3. Determine if the population mean is different from 24 at the a= 0.01 level of significance. Complete parts (a) through (d) below.
(a) Determine the null and alternative hypotheses.
Ho:
V24
H1:
V24
(b) Calculate the P-value.
P-value =
(Round to three decimal places as needed.)
(c) State the conclusion for the test.
O A. Reject H, because the P-value is less than the a = 0.01 level of significance.
O B. Reject H, because the P-value is greater than the a= 0.01 level of significance.
OC. Do not reject H, because the P-value is greater than the a= 0.01 level of significance.
O D. Do not reject H, because the P-value is less than the a = 0.01 level of significance.
(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 24.
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= 30.2 and the sample standard deviation is found to be s = 6.3. Determine if the population mean is different from 24 at the a= 0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. Ho: V24 H1: V24 (b) Calculate the P-value. P-value = (Round to three decimal places as needed.) (c) State the conclusion for the test. O A. Reject H, because the P-value is less than the a = 0.01 level of significance. O B. Reject H, because the P-value is greater than the a= 0.01 level of significance. OC. Do not reject H, because the P-value is greater than the a= 0.01 level of significance. O D. Do not reject H, because the P-value is less than the a = 0.01 level of significance. (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 24.
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