# General Statistics

1. Z-test

A researcher wishes to test the claim that the average age of lifeguards in Ocean City is greater than 24 years. She selects a sample of 36 guards and finds the mean of the sample to be 24.7 years with a standard deviation of 2 years. Is there evidence to support her claim at a 95% level of confidence?

2. T-test for Unpaired data

Consider the following situation describing layoffs at a manufacturing plant of the Monsanto Company. Does there appear to be a case of age discrimination between those laid off and those non-laid off?

Employee age layoff status

1 51 no

2 58 no

3 48 no

4 53 yes

5 45 yes

6 43 yes

7 49 no

8 59 no

9 56 yes

10 56 yes

11 54 no

12 55 yes

13 54 no

14 48 no

15 39 no

16 47 no

17 59 yes

18 58 no

19 55 yes

20 57 yes

21 57 yes

22 53 no

(Gregory L. Harper, "Statistics as evidence of age discrimination," The hastings law journal, vol 32, may 1981, pp. 1347-1375)

3. Z-test

A physician claims that joggers maximal volume oxygen uptake is greater than the average of all adults. A sample of 15 joggers has a mean of 40.6 milliliters per kilogram and a standard deviation of 6 ml/kg. If the average of all adults is 36.7 ml/kg, is there enough evidence to support the physician's claim at 95%?

4. Word answer

Explain the difference between testing a single mean and testing the difference between two means

5. Chi-square

The advisor of an ecology club at a large college expects that the group consists of 10% freshman, 20% Sophomores, 40% Juniors and 30% Seniors. The membership for the club this year is observed to be 14 freshman, 19 sophomores, 51 Juniors and 16 Seniors. At 95% level of confidence, test the advisors belief.

https://brainmass.com/statistics/hypothesis-testing/general-statistics-305433

#### Solution Summary

Complete, Neat and Step-by-step Solutions for Q1 to Q5 are provided in the attached Excek file.