A simple random sample of sizen=15 is drawn from a population that is normally distributed. The sample mean is Tound to be x= 26.5 and the sample standard leviation is found to be s = 6.3. Determine if the population mean is different from 25 at the a = 0.01 level of significance. Complete parts (a) through (d) below. a) Determine the null and alternative hypotheses. V25 V25 b) Calculate the P-value. -value = Round te thre

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(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 ¤ = 0.01 level of significance.
C. Do not reject Ho because the P-value is less than the a = 0.01 level of significance.
D. Do not reject Ho because the P-value is greater 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 25.
Transcribed Image Text:(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 ¤ = 0.01 level of significance. C. Do not reject Ho because the P-value is less than the a = 0.01 level of significance. D. Do not reject Ho because the P-value is greater 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 25.
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 = 26.5 and the sample standard
deviation is found to be s = 6.3. Determine if the population mean is different from 25 at the a = 0.01 level of significance. Complete parts (a) through (d) below.
(a) Determine the null and alternative hypotheses.
Họ:
25
Hi:
25
(b) Calculate the P-value.
P-value =
(Round to three decimal places as needed.)
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 = 26.5 and the sample standard deviation is found to be s = 6.3. Determine if the population mean is different from 25 at the a = 0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. Họ: 25 Hi: 25 (b) Calculate the P-value. P-value = (Round to three decimal places as needed.)
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