Question

Asked Nov 10, 2019

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See the graph of data below to answer the following question

Obtain a 95% confidence interval for the difference between the mean rates of return. Interpret the interval.

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Step 1

Procedure to find sample mean, standard deviation and sample size using Excel:

- In Excel sheet, enter
**Returns of large value mutual fund**and**Returns of large growth mutual fund**in different columns. - In
**Data**, select**Data Analysis**and Choose**Descriptive Statistics**. - In
**Input Range**, select**Returns of large value mutual fund**and**Returns of large growth mutual fund**and click**Labels in First Row**. - Select
**Summary Statistics**. - Click
**OK.**

Output using Excel is shown below:

Step 2

Here, *n*_{1} = 15, *n*_{2} = 15, s_{1}^{2} is 0.8518 and s_{2}^{2 }is 6.3092.

**Find the pooled sample standard deviation:**

Step 3

**Obtain the critical value:**

The required confidence level is 100*(1–α)% = 95%.

That is, the level o...

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