You work for a charitable organization and you want to see whether the people who donate to your organization have an average age above 40 years. You get a random sample of 219 donors and the value of the sample mean age is 42 years. The value of the sample standard deviation is 17 years. The executive director wants you to be 95% confident in your results.State in statistical terms the null and alternative hypotheses.Determine the critical value(s).Compute the test statistic.Make a decision about the hypotheses (which hypothesis is correct?)Are donors older than 40 years old?I need help with #2, 3, and 4. Though I worked 2, I'm still confused about it.I got 1.7410 for 3And 1.7410>1.6519 for 4.I am not sure if I'm right. Help!

Name: You work for a charitable organization and you want to see whether the
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Description: You work for a charitable organization and you want to see whether the people who donate to your organization have an average age above 40 years. You get a random sample of 219 donors and the value of the sample mean age is 42 years. The value of the

State the given values. 1) State the null and alternate hypothesis.

Answered: You work for a charitable organization…

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 work for a charitable organization and you want to see whether the people who donate to your organization have an average age above 40 years. You get a random sample of 219 donors and the value of the sample mean age is 42 years. The value of the sample standard deviation is 17 years. The executive director wants you to be 95% confident in your results.

State in statistical terms the null and alternative hypotheses.
Determine the critical value(s).
Compute the test statistic.
Make a decision about the hypotheses (which hypothesis is correct?)
Are donors older than 40 years old?

I need help with #2, 3, and 4. Though I worked 2, I'm still confused about it.

I got 1.7410 for 3

And 1.7410>1.6519 for 4.

I am not sure if I'm right. Help!

Expert Solution

Step 1

State the given values.

State the null and alternate hypothesis.

Step 2

Calculate the degree of freedom.

Calculate the t critical value using t table at 95% confidence level where the degree of freedom = 218.

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