Answered: hypothesis H1:σ2≠7.6H1:σ2≠7.6 at a…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Question

A sample of n=19n=19 data values randomly collected from a normally distributed population has variance s2=12.3s2=12.3. We wish to test the null hypothesis H0:σ2=7.6H0:σ2=7.6 against the alternative hypothesis H1:σ2≠7.6H1:σ2≠7.6 at a significance of α=0.10α=0.10.

What is the value of the test statistic? Write your answer rounded to 3 decimal places.

What are the critical values? Write your answers rounded to 3 decimal places.
Lower CV: Upper CV:

Do we reject the null hypothesis?

We reject the null hypothesis.
We fail to reject the null hypothesis.

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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