Question

Asked Nov 20, 2019

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Step 1

From the given information, the sample mean *X*_{10}-bar follows normal distribution N(20, 25/10).

That is, µ=20 and

Step 2

Generating 2000 sample means from the normal distribution with mean 20 and the standard deviation 1.58.

**Excel Procedure:**

- Go to
**Data** - Click on
**Data Analysis**. - Select
**‘Random number generation’**and click on ‘OK’. - Enter
**1**for ‘**Number of variables**’. - Enter
**2000**for ‘**Number of random numbers**’. - Select ‘
**Normal**’ under ‘**Distribution**’. - Enter
**20**for mean. - Enter
**58**for standard deviation. - Click on ‘OK’.

**Excel Output:**

** **

Here, there are more number of samples. Therefore, entire samples cannot be displayed:

Step 3

The histogram is constructed below:

**Steps to construct box plot:**

- Select the 2000 random numbers.
- Go to
**Insert**. - Select
**histogram**under**...**

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