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Given the following hypotheses: H0: μ = 400 H1: μ ≠ 400 A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level: a. State the decision rule. b. Compute the value of the test statistic. c. What is your decision regarding the null hypothesis?

Given the following hypotheses: H0: μ = 400 H1: μ ≠ 400 A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level: a. State the decision rule. b. Compute the value of the test statistic. c. What is your decision regarding the null hypothesis?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Given the following hypotheses:

H0: μ = 400

H1: μ ≠ 400

A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level:

a. State the decision rule.

b. Compute the value of the test statistic.

c. What is your decision regarding the null hypothesis?

Expert Solution
Step 1: Given Information

There are random samples of size n equals 12, that follow the normal distribution with mean x with bar on top equals 407 and standard deviation s equals 6.
The null and alternative hypothesis is given as follows:
Null hypothesis H subscript 0 colon space mu equals 400
Alternative hypothesis H subscript 1 colon mu space not equal to 400
Here mu is the hypothesized population mean.
The level of significance is alpha equals 0.01


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