# Histogram, Statistical Analysis, Hypothesis Tests

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Task 1

1) For the data in the worksheet "Blade Weight", what is the sampling distribution of the mean, the overall mean, and the standard error of the mean? Is a normal distribution an appropriate assumption for the sampling distribution of the mean?

(Also use Histogram chats to Illustrate your answer in the Excel worksheet for the sampling experiment)

2) How many blade weights must be measured to find a 95% confidence interval for the mean blade weight with a sampling error of at most 0.2? What if the sampling error is specified as 0.1?

Answer the above questions and summarize your results in a formal report to Ms. Burke.

Task 2

1. Are there differences in employee retention due to gender, college graduation status, or whether the employee is from the local area in the data in the worksheet Employee Retention?

Conduct appropriate statistical analyses and hypothesis tests to answer this question and summarize your results in a formal report to Ms. Burke.

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##### Solution Summary

The Solution focuses on analysis data sampling using the example company.

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Task 1

1)

Since the number of the observations is greater than 30 we can say that the sampling distribution of the mean is normally distributed, however, it should be tested to confirm if the distribution is normally distributed or not.

The overall mean (X ̅) is 4.99 and the standard error (σ/√N) of the mean is given by 0.005841666.

From the above histogram we can see that the data is not normally distributed.

2)

We know that the formula for sample size calculation is given as

n≥((Z_(1-α/2 ) σ)/d)^2, ...

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