Confidenhce leagues within FCS, the Patriot League, played 4 games that weekend. Their mean was 8.75. exercise in Chapter 7. we asked whether college foot- ball teams tend to be more likely or less likely to be mismatched in the a. Calculate the 95% confidence interval for this sample. National Collegiate Athletic b. State in your own words what we learn from this confidence interval. upper Association (NCAA) divisions. During one week of a college football scason, the population of 53 Toot- ball Bowl Subdivision (FBS) games had a mean spread (winning score minus losing score) of 16.189, with a standard deviation of 12.128. We took a sample of 4 games that were played that week in the next-highest league, the Football Championship Subdivision (FCS). to see if the spread were different: one of the many c. What information does the confidence interval give us that we also get from a hypothesis test? d. What additional information does the confidence interval give us that we do not get from a hypoth- esis test? 8.50 Confidence intervals and football wins (contin- ued): Using the football data presented in Exercise 8.49, practice evaluating data using confidence intervals. a. Compute the 80% confidence interval, b. How do the conclusion and the confidence interval change as you move from 95% confidence to 80% confidence? c. Why don't we talk about having 100% confidence?

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Solve Exercise 8.50

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8.49 Confidence intervals and football wins: In an
leagues within FCS, the Patriot League, played4 games
that weekend. Their mean was 8.75.
exercise in Chapter 7. we asked whether college foot-
ball teams tend to be more likely or less likely to be
mismatched in the upper National Collegiate Athletic
Association (NCAA) divisions. During one week of
a college football season, the population of 53 Toot-
ball Bowl Subdivision (FBS) games had a mean spread
(winning score minus losing score) of 16.189, with a
standard deviation of 12.128. We took a sample of4
games that were played that week in the next-highest
league, the Football Champiornship Subdivision (FCS).
to see if the spread were different; one of the many
a. Calculate the 95% confidence interval for this sample.
b. State in your own words what we learn from this
confidence interval.
c. What information does the confidence interval
give us that we also get from a hypothesis test?
d. What additional information does the confidence
interval give us that we do not get from a hypoth-
esis test?
8.50 Confidence intervals and football wins (contin-
ued): Using the football data presented in Exercise
8.49, practice evaluating data using confidence intervals.
a. Compute the 80% confidence interval.
b. How do the conclusion and the confidence interval
change as you move from 95% confidence to 80%
confidence?
Why don't we talk about having 100% confidence?
Transcribed Image Text:8.49 Confidence intervals and football wins: In an leagues within FCS, the Patriot League, played4 games that weekend. Their mean was 8.75. exercise in Chapter 7. we asked whether college foot- ball teams tend to be more likely or less likely to be mismatched in the upper National Collegiate Athletic Association (NCAA) divisions. During one week of a college football season, the population of 53 Toot- ball Bowl Subdivision (FBS) games had a mean spread (winning score minus losing score) of 16.189, with a standard deviation of 12.128. We took a sample of4 games that were played that week in the next-highest league, the Football Champiornship Subdivision (FCS). to see if the spread were different; one of the many a. Calculate the 95% confidence interval for this sample. b. State in your own words what we learn from this confidence interval. c. What information does the confidence interval give us that we also get from a hypothesis test? d. What additional information does the confidence interval give us that we do not get from a hypoth- esis test? 8.50 Confidence intervals and football wins (contin- ued): Using the football data presented in Exercise 8.49, practice evaluating data using confidence intervals. a. Compute the 80% confidence interval. b. How do the conclusion and the confidence interval change as you move from 95% confidence to 80% confidence? Why don't we talk about having 100% confidence?
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