STAT200 Penn State University Lesson 4 Confidence Intervals Lab Exercise 4 Answer the questions in this document in a different color and not bolded. Alwa

STAT200 Penn State University Lesson 4 Confidence Intervals Lab Exercise 4 Answer the questions in this document in a different color and not bolded.
Always show your work; full credit will not be given to answers without work shown. If you do hand calculations, show your work using the Word Equation editor.
Always clearly identify your final answers and round all answers to 3 decimal places.I’ve attached the actual assignment. Please review before accepting. STAT 200 LAB 4 -Lesson 4: Confidence Intervals
Due Tuesday, Sept 24, 2019
NAME:
Directions






Answer the questions in this document in a different color and not bolded.
Always show your work; full credit will not be given to answers without work shown. If you do
hand calculations, show your work using the Word Equation editor.
Always clearly identify your final answers and round all answers to 3 decimal places.
For an example of formatting, see the sample lab in the Lesson 1 Module in Canvas.
If you have any questions, post them to the course discussion board.
Use complete sentences and always provide explanations along with any screenshots or
software outputs.
1. The following questions are related to the proportion of Major League Baseball (MLB) games won
by the home team. A random sample of MLB games were drawn from the population of all games in
the 2018 season. [65 points]
A. In a random sample of 25 MLB games, the home team won 18 of those games. Use StatKey
to construct a 95% bootstrap confidence interval using the percentile method. Take at least
5,000 resamples. Don’t forget to include a screenshot from StatKey and to identify your
answer. [15 points]
B. Clearly interpret the meaning of the confidence interval constructed in part A. [5 points]
I am 95% confident…
C. Given your confidence interval in part A, is there evidence that in the population of all MLB
games, the proportion won by the home team is different from 50%? Explain why or why not.
[5 points]
D. What if the sample size was 10 times bigger? Find the confidence interval if we had a
sample where 180 games out of 250 were won by the home team? Use StatKey to construct a
95% confidence interval using the percentile method with these new data (x=180, n=250).
Take at least 5,000 resamples. Don’t forget to include a screenshot from StatKey and to
identify your answer. [15 points]
E. When the sample size was increased, how did the confidence interval change? Why? [5
points]
F. Using the dataset with 180 games won out of 250, construct a 99% confidence interval in
StatKey using the percentile method. Take at least 5,000 resamples. Don’t forget to include a
screenshot from StatKey and to identify your answer. [15 points]
G. When the confidence level was changed from 95% to 99%, how did the confidence interval
change? Why?[5 points]
STAT 200 LAB 4 -Lesson 4: Confidence Intervals
Due Tuesday, Sept 24, 2019
2. For this question you are going to use StatKey to construct bootstrap confidence intervals for the
difference in two means. The housing prices (in thousands) for 30 houses on sale in both New York
and New Jersey were recorded. We would like to estimate the difference in mean home prices
between New Jersey and New York.
Use the “Home Prices (NY vs NJ)” dataset built into StatKey to answer the following. [35 points]
A. Using the percentile method, construct a 95% confidence interval for the difference
(
̅ −
̅ ) in the mean housing price between NJ (
̅ ) and NY (
̅ ). Take at least 5,000
resamples. Don’t forget to include a screenshot from StatKey and to identify your answer. [15
points]
B. Using the standard error method, construct a 95% confidence interval for the difference
(
̅ −
̅ ) in the mean housing price between NJ (
̅ ) and NY (
̅ ). You can use the standard
error from part A. Show all of your work using the equation editor. [15 points]
C. Are your answers in parts A and B exactly the same? Explain why or why not. [5 points]

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