In Example 5.2 we used a computer to generate 1,000

Chapter 5, Problem 6E

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QUESTION:

In Example 5.2 we used a computer to generate 1,000 NW samples, each containing n = 11 observations, from a uniform distribution over the interval from 150 to 200. For this exercise, use a computer to generate 500 samples, each containing n = 15 observations, from this population.

a. Calculate the sample mean for each sample. To approximate the sampling distribution of \(\bar{x}\), construct a relative frequency histogram for the 500 values of \(\bar{x}\).

b. Repeat part a for the sample median. Compare this approximate sampling distribution with the approximate sampling distribution of \(\bar{x}\) found in part a.

Text Transcription:

bar{x}

Questions & Answers

QUESTION:

In Example 5.2 we used a computer to generate 1,000 NW samples, each containing n = 11 observations, from a uniform distribution over the interval from 150 to 200. For this exercise, use a computer to generate 500 samples, each containing n = 15 observations, from this population.

a. Calculate the sample mean for each sample. To approximate the sampling distribution of \(\bar{x}\), construct a relative frequency histogram for the 500 values of \(\bar{x}\).

b. Repeat part a for the sample median. Compare this approximate sampling distribution with the approximate sampling distribution of \(\bar{x}\) found in part a.

Text Transcription:

bar{x}

ANSWER:

Step 1 of 3

By using Minitab to generate 500 samples from this population, each with n = 15. Then we computed  for each sample is given below:

     

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