A simple random sample of size n=15is drawn from a population that is normally distributed. The sample mean is found to be x=22.5 and the sample standard deviation is found to be s=6.3. Determine if the population mean is different from 25 at the α=0.01 level of significance. Complete parts (a) through (d) below. 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 =22.5 and the sample standarddeviation 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:25H4:25(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 greater than the a = 0.01 level of significance.B. Do not reject Ho because the P-value is less than the a = 0.01 level of significance.C. Do not reject Ho because the P-value is greater than the a = 0.01 level of significance.D. Reject Ho because the P-value is less than the a = 0.01 level of significance. (d) State the conclusion in context of the problem.Theresufficient evidence at the a = 0.01 level of significance to conclude that the population mean is different from 25.

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Answered: A simple random sample of size n=15is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A simple random sample of size n=15is drawn from a population that is normally distributed. The sample mean is found to be x=22.5 and the sample standard deviation is found to be s=6.3. Determine if the population mean is different from 25 at the α=0.01 level of significance. Complete parts (a) through (d) below.

(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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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