You may need to use the appropriate appendix table or technology to answer this question. You are given the following information obtained from a random sample of 4 observations. 24 46 31 55 You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 48. (Assume the population is normally distributed.) (a) State the null and the alternative hypotheses. (Enter != for ≠ as needed.) H0: Ha: (b) Determine the test statistic. (Round your answer to three decimal places.) (c) Determine the p-value, and at the 5% level of significance, test to determine whether or not the mean of the population is significantly different from 48. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient evidence to conclude that the mean of the population is different from 48.Reject H0. There is insufficient evidence to conclude that the mean of the population is different from 48. Do not reject H0. There is insufficient evidence to conclude that the mean of the population is different from 48.Reject H0. There is sufficient evidence to conclude that the mean of the population is different from 48

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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You may need to use the appropriate appendix table or technology to answer this question.

You are given the following information obtained from a random sample of 4 observations.

You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 48. (Assume the population is normally distributed.)

(a)

State the null and the alternative hypotheses. (Enter != for ≠ as needed.)

H₀:

H_a:

(b)

Determine the test statistic. (Round your answer to three decimal places.)

(c)

Determine the p-value, and at the 5% level of significance, test to determine whether or not the mean of the population is significantly different from 48.

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Do not reject H₀. There is sufficient evidence to conclude that the mean of the population is different from 48.Reject H₀. There is insufficient evidence to conclude that the mean of the population is different from 48. Do not reject H₀. There is insufficient evidence to conclude that the mean of the population is different from 48.Reject H₀. There is sufficient evidence to conclude that the mean of the population is different from 48.

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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