Elementary Statistics
12th Edition
ISBN: 9780321836960
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 10.4, Problem 2BSC
Prediction Interval Using the heights and weights described in Exercise 1, a height of 180 cm is used to find that the predicted weight is 88.0 kg, and the 95% prediction interval is displayed by Minitab as (50.7, 123.0). Write a statement that interprets that prediction interval. What is the major advantage of using a prediction interval instead of simply using the predicted weight of 88.0 kg? Why is the terminology of prediction interval used instead of confidence interval?
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Fill in the table using data from your random sample of home prices. To insert an equation,
select "Insert" and then "Equation" or simply copy and edit the equation in the third column.
Take a screenshot of the table, and embed the table as a part of your initial post, per the
instructions provided under Respond.
sample size
sample mean
95% Confidence Interval
95% Confidence Interval
(n) of home
home price
$ 704, 500
(written using interval notation)
µ=š±1.96
prices
(5)
n = 10
145600
n = 30
128000
n = 50
150000
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920000
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920000
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932000
930000
1290000|
910000
745000
780000
747000
858000
|1003000
775000
716000
886500
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585000
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Exercise 2:
It was found that 302 out of 745 people said they would like to retire in a farm if they are given
the chance. Estimate the true proportion of people who would like to retire in a farm with
94% confidence.
STATE: Lyme disease is spread in the northeastern United
States by infected ticks. The ticks are infected mainly by
feeding on mice, so more mice result in more infected ticks.
The mouse population rises and falls with the abundance of
acorns, their favored food. Experimenters studied two
similar forest areas in a year when the acorn crop failed.
They added hundreds of thousands of acorns to one area to
imitate an abundant acorn crop, while leaving the other
area untouched. The next spring, 54 of the 72 mice trapped
in the first area were in breeding condition, versus 10 of the
17 mice trapped in the second area. Estimate the difference
between the proportions of mice ready to breed in good
acorn years and bad acorn years. (Use 90% confidence. Be
sure to justify your choice of confidence interval.)
Clive G. Jones et al., "Chain reactions linking acorns to gypsy moth outbreaks
and Lyme disease risk," Science, 279 (1998), pp. 1023-1026.
Chapter 10 Solutions
Elementary Statistics
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Exercises 2932 use the same...Ch. 10.3 - Large Data Sets. Exercises 2932 use the same...Ch. 10.3 - Prob. 31BSCCh. 10.3 - Large Data Sets. Exercises 29-32 use the same...Ch. 10.3 - Prob. 33BBCh. 10.3 - Prob. 34BBCh. 10.4 - Prob. 1BSCCh. 10.4 - Prediction Interval Using the heights and weights...Ch. 10.4 - Prob. 3BSCCh. 10.4 - Prob. 4BSCCh. 10.4 - Interpreting the Coefficient of Determination. In...Ch. 10.4 - Interpreting the Coefficient of Determination. In...Ch. 10.4 - Interpreting the Coefficient of Determination. In...Ch. 10.4 - Interpreting the Coefficient of Determination. In...Ch. 10.4 - Prob. 9BSCCh. 10.4 - Prob. 10BSCCh. 10.4 - Prob. 11BSCCh. 10.4 - Prob. 12BSCCh. 10.4 - Prob. 13BSCCh. 10.4 - Prob. 14BSCCh. 10.4 - Prob. 15BSCCh. 10.4 - Prob. 16BSCCh. 10.4 - Variation and Prediction Intervals. 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