Answered: like to know the population mean, you…

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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Question

Probability is: 0.9229

Hours 1.6448

Since the operations manager would like to know the population mean, you decide to help him conduct a hypothesis test for the population mean. Based on the random sample of 800 humidifiers that he selects, you find that the sample mean life of the humidifiers is 18017 hours. Continue to assume that based on past experience, the population standard deviation is 800 hours and the vacuum's service life is normally distributed. Answer the following questions related to conducting this hypothesis test:

h0= 18000

h1= 18000

d. State the appropriate test used and reason. Determine the appropriate test statistic. Keep at least 2 decimal places. (Hint: for calculating the test statistic, consider the sample mean value obtained from the random sample you have found above)

Appropriate test used and reason:

Test Statistic:

Critical Value: 1.96

f. Based on your answer in part e, is there evidence that the population mean life of humidifiers is different from 18000 hours (use α = 0.05)? Explain by providing the decision and conclusion.

g. Compute the p-value and interpret its meaning under the condition that the null hypothesis is true. Keep at least 4 decimal places.

p-value:

please use excel to solve

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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