# Elements Of Statistics II Module 3 – Content Mastery Testing

Elements Of Statistics II

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**Module 3: ** *Content Mastery Testing *

**Instructions**

After studying and reviewing the concepts and practices of Module 3, answer the following questions:

1) A sample size of 35 scores has a mean score of 85 points with a standard deviation of 3.25 points.

1.

A. Find a 90% confidence interval for the scores population mean and explain your results.

B. Find a 95% confidence interval for the scores population mean and explain your results.

C. What would be the sample size if an error of 5% is desired?

2) A random sample of 9 young adults was selected and the weight height was calculated to be 65.7 inches. Since there is no information for the population standard deviation, the sample standard deviation was also calculated, and the value was 3.46 inches. If the population grades follow a normal distribution.

1.

A. Find a 95% confidence interval for the height population mean and explain your results.

B. Find a 99% confidence interval for the height population mean and explain your results.

**Explanation & Answer**

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