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= 28.6 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. Họ: V26 H1: V 26 (b) Calculate the P-value. P-value = (Round to three decimal places as needed.) (c) State the conclusion for the test. O A. Do not reject Ho because the P-value is greater than the a = 0.01 level of significance. O B. Do not reject Ho because the P-value is less than the a = 0.01 level of significance. O C. Reject Ho because the P-value is less than the a = 0.01 level of significance. O D. Reject Ho because the P-value is greater than the a = 0.01 level of significance.

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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 = 28.6 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.
Họ:
26
H1:
26
(b) Calculate the P-value.
P-value =
(Round to three decimal places as needed.)
(c) State the conclusion for the test.
O A. Do not reject Ho because the P-value is greater than the a = 0.01 level of significance.
B. Do not reject H, because the P-value is less than the a = 0.01 level of significance.
C. Reject Ho because the P-value is less than the a = 0.01 level of significance.
D. Reject Ho 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 = 28.6 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. Họ: 26 H1: 26 (b) Calculate the P-value. P-value = (Round to three decimal places as needed.) (c) State the conclusion for the test. O A. Do not reject Ho because the P-value is greater than the a = 0.01 level of significance. B. Do not reject H, because the P-value is less than the a = 0.01 level of significance. C. Reject Ho because the P-value is less than the a = 0.01 level of significance. D. Reject Ho because the P-value is greater than the a = 0.01 level of significance.
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