*This preview shows
pages
1–2. Sign up
to
view the full content.*

Stat 4714 HW 9 - Due Friday October 29 at 1:15pm
1. The goal of this problem is to have you simulate data from a non-normal distribution and construct a
distribution for the sample mean. [TURN IN LIST OF MEANS AND HISTOGRAMS. DO NOT
INCLUDE THE SIMULATED DATA]
a. Using JMP, simulate 20 random samples of data of size 10 from an exponential distribution with mean
1.5.
b. List the 20 sample means from your data.
c. Create a histogram of the means.
d. Does this distribution of sample means look like it follows a normal distribution?
e. Increase the sample size of the 20 samples to 45. Repeat steps b & c using the newly simulated data. Does
this distribution of sample means look like it follows a normal distribution?
2. When constructing a confidence interval for a population mean with a known population
variance,
a.
what value of z would we use for a 93% confidence interval?
b.
what value of z would we use for a 80% confidence interval?
c.
what value of z would we use for a 85% confidence interval?
3.
Find the method of moments estimator for p for the geometric distribution.
4.
Find the maximum likelihood estimator for p for the geometric distribution. Note: You may need to use
some of the rules for products and logs on the next page.
5.
From a random sample of 35 observations, we have obtained a sample mean of 18.5.
The population
standard deviation is 10. We wish to construct a confidence interval for the mean, but we think our margin
of error is too large.
a) Find the sample size needed for a 95% confidence interval if we want the margin of error to be 1.25.

This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*
This is the end of the preview. Sign up
to
access the rest of the document.