A simple random sample of sizen=15 is drawn from a population that is normally distributed. The sample mean is found to be x = 27.6 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: H = 25 H: H * 25 (b) Calculate the P-value. P-value = (Round to three decimal places as needed.)

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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 = 27.6 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.
Ho: H
= 25
H1: H
# 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 = 27.6 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. Ho: H = 25 H1: H # 25 (b) Calculate the P-value. P-value = (Round to three decimal places as needed.)
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