Go to StatCrunch and select the applet “Sampling Distributions

Chapter 7 Worksheet Name:_____________________________
Go to StatCrunch and select the applet “Sampling Distributions.” In the options choose a bell shape with mean
25 and std. dev. 5. Note that the default setting for the calculated statistic is the mean. Click Compute.
1. With sample size set to 2, click “1 time,” “5 times,” and “1000 times.” (Hint: click “Reset” between
each click. Fill in the chart below for the “Sample means.”
*Note: This applet finds the means of each sample of size 2. “1 time” refers to taking one sample of size 2 and
then finding the mean. “5 times” refers to taking 5 different samples, each of size 2. “1000 times” refers to
taking 1000 different samples, each of size 2.
1 time 5 times 1000 times
Mean
Std. Dev N/A
Compare the resulting sampling distribution for “1000 times” to the population (copied below) in terms of
shape, center, and spread.
__________________________________________________________________________________________
__________________________________________________________________________________________
__________________________________________________________________________________________
2. With sample size set to 5, click “1 time,” “5 times,” and “1000 times.” Describe the resulting sampling
distribution. How does it compare to the original population distribution?
*Note: This applet finds the means of each sample of size 5. “1 time” refers to taking one sample of size 5 and
then finding the mean. “5 times” refers to taking 5 different samples, each of size 5. “1000 times” refers to
taking 1000 different samples, each of size 5.
1 time 5 times 1000 times
Mean
Std. Dev N/A
Compare the resulting sampling distribution for “1000 times” to the distribution of the population (copied
below) in terms of shape, center, and spread.
__________________________________________________________________________________________
__________________________________________________________________________________________
__________________________________________________________________________________________
3. With sample size set to 25, click “1 time,” “5 times,” and “1000 times.”
*Note: This applet finds the means of each sample of size 25. “1 time” refers to taking one sample of size 25
and then finding the mean. “5 times” refers to taking 5 different samples, each of size 25. “1000 times” refers
to taking 1000 different samples, each of size 25.
1 time 5 times 1000 times
Mean
Std. Dev N/A
Compare the resulting sampling distribution for “1000 times” to the distribution of the population (copied
below) in terms of shape, center, and spread.
__________________________________________________________________________________________
__________________________________________________________________________________________
__________________________________________________________________________________________
4. For #1-3, how do the three sampling distributions for “1000 times” compare to each other? What did
you notice happening as the sample size was increased? What do you think will happen if we make the
sample size 500?
__________________________________________________________________________________________
__________________________________________________________________________________________
__________________________________________________________________________________________
5. Repeat question 1 but start with a Uniform distribution: (0,50).
a. Sample size 2
1 time 5 times 1000 times
Mean
Std. Dev N/A
b. Sample size 5
1 time 5 times 1000 times
Mean
Std. Dev N/A
c. Sample size 25
1 time 5 times 1000 times
Mean
Std. Dev N/A
6. Repeat question 1 but start with a Right Skewed distribution.
a. Sample size 2
1 time 5 times 1000 times
Mean
Std. Dev N/A
b. Sample size 5
1 time 5 times 1000 times
Mean
Std. Dev N/A
c. Sample size 25
1 time 5 times 1000 times
Mean
Std. Dev N/A
7. What effect did the starting shape of the population distribution have on the shape of the resulting sampling
distribution (compare for all three: “1 time”, “5 times” and “1000 times”)? What happened to the shape of the
sampling distributions as the sample size increased and as the number of samples increased?
__________________________________________________________________________________________
__________________________________________________________________________________________
__________________________________________________________________________________________
__________________________________________________________________________________________
8. Go back to starting with a Normal distribution (25,5). This time change the statistic (near the bottom) to
be standard deviation instead of mean.
a. With sample size set to 2, click “1 time,” “5 times,” and “1000 times.” Describe the resulting sampling
distributions in terms of shape, center, and spread. Did you notice any patterns or relationship between
the mean (mean of the standard deviations of the samples) and the standard deviation (standard
deviation of the standard deviations of the samples)?
__________________________________________________________________________________________
__________________________________________________________________________________________
__________________________________________________________________________________________
__________________________________________________________________________________________
b. With sample size set to 3, click “1 time,” “5 times,” and “1000 times.” Describe the resulting sampling
distributions in terms of shape, center, and spread. Did you notice any patterns or relationship between
the mean (mean of the standard deviations of the samples) and the standard deviation (standard
deviation of the standard deviations of the samples)?
__________________________________________________________________________________________
__________________________________________________________________________________________
__________________________________________________________________________________________
__________________________________________________________________________________________
c. With sample size set to 10, click “1 time,” “5 times,” and “1000 times.” Describe the resulting
sampling distributions in terms of shape, center, and spread. Did you notice any patterns or
relationship between the mean (mean of the standard deviations of the samples) and the standard
deviation (standard deviation of the standard deviations of the samples)?
__________________________________________________________________________________________
__________________________________________________________________________________________
__________________________________________________________________________________________
__________________________________________________________________________________________
d. What is the biggest difference about creating a sampling distribution for standard deviation compared
to a sampling distribution for the mean?
__________________________________________________________________________________________
__________________________________________________________________________________________
__________________________________________________________________________________________
__________________________________________________________________________________________

Order | Check Discount

Tags: apps that write essays for you free, assignment writing services in usa, bes, best dissertation writing services, best essay writing service, best paper writing services

Assignment Help For You!

Special Offer! Get 20-30% Off on Every Order!

Why Seek Our Custom Writing Services

Every Student Wants Quality and That’s What We Deliver

Graduate Essay Writers

Only the finest writers are selected to be a part of our team, with each possessing specialized knowledge in specific subjects and a background in academic writing..

Affordable Prices

We balance affordability with exceptional writing standards by offering student-friendly prices that are competitive and reasonable compared to other writing services.

100% Plagiarism-Free

We write all our papers from scratch thus 0% similarity index. We scan every final draft before submitting it to a customer.

How it works

When you opt to place an order with Nursing StudyBay, here is what happens:

Calculate Your Order Check Prices

Fill the Order Form

You will complete our order form, filling in all of the fields and giving us as much instructions detail as possible.

Assignment of Writer

We assess your order and pair it with a custom writer who possesses the specific qualifications for that subject. They then start the research/write from scratch.

Order in Progress and Delivery

You and the assigned writer have direct communication throughout the process. Upon receiving the final draft, you can either approve it or request revisions.

Giving us Feedback (and other options)

We seek to understand your experience. You can also peruse testimonials from other clients. From several options, you can select your preferred writer.

Expert paper writers are just a few clicks away

Place an order in 3 easy steps. Takes less than 5 mins.

Calculate the price of your order

Type of paper needed:

Pages:

You will get a personal manager and a discount.

Academic level:

We'll send you the first draft for approval by at

Total price:

$0.00

Order for this Paper or similar Assignment Help Service