A baseball coach was curious about the true mean speed of fastball pitches in his league. The coach recorded the speed in kilometers per hour of each fastball in a random sample of 100 pitches and constructed a 95% confidence interval for the mean speed. The result- ing interval was (110, 120).. Which of the following is a correct interpretation of the interval (110, 120)? A B с D If the coach took another sample of 100 pitches, there is a 95% chance the sample mean would be between 110 and 120 km/hr. About 95% of pitches in the sample were between 110 and 120 km/hr. There is a 95% confidence that the interval (110, 120) captured the true mean pitch speed. It is probably that the sample mean is the same as the population mean 95% of the time.

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Question 4
A baseball coach was curious about the true mean speed of fastball pitches in his league.
The coach recorded the speed in kilometers per hour of each fastball in a random sample
of 100 pitches and constructed a 95% confidence interval for the mean speed. The result-
ing interval was (110, 120). .
Which of the following is a correct interpretation of the interval (110, 120)?
A
B
с
D
If the coach took another sample of 100 pitches, there is a 95% chance the sample
mean would be between 110 and 120 km/hr.
About 95% of pitches in the sample were between 110 and 120 km/hr.
There is a 95% confidence that the interval (110, 120) captured the true mean pitch
speed.
It is probably that the sample mean is the same as the population mean 95% of the
time.
Transcribed Image Text:MULTIPLE CHOICE Question 4 A baseball coach was curious about the true mean speed of fastball pitches in his league. The coach recorded the speed in kilometers per hour of each fastball in a random sample of 100 pitches and constructed a 95% confidence interval for the mean speed. The result- ing interval was (110, 120). . Which of the following is a correct interpretation of the interval (110, 120)? A B с D If the coach took another sample of 100 pitches, there is a 95% chance the sample mean would be between 110 and 120 km/hr. About 95% of pitches in the sample were between 110 and 120 km/hr. There is a 95% confidence that the interval (110, 120) captured the true mean pitch speed. It is probably that the sample mean is the same as the population mean 95% of the time.
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Follow-up Question
Suppose that the coach from Question 3 decides he wants to be more confident. The
coach uses the same sample data as before, but recalculates the confidence interval using
a 99% confidence level.
How will increasing the confidence level from 95% to 99% affect the confidence interval?
A
B
с
D
It is impossible to say without seeing the sample data.
Increasing the confidence will increase the margin of error resulting in a wider interval.
Increasing the confidence will decrease the margin of error resulting in a narrower
interval.
Increasing the confidence will have no effect on the interval.
Transcribed Image Text:Suppose that the coach from Question 3 decides he wants to be more confident. The coach uses the same sample data as before, but recalculates the confidence interval using a 99% confidence level. How will increasing the confidence level from 95% to 99% affect the confidence interval? A B с D It is impossible to say without seeing the sample data. Increasing the confidence will increase the margin of error resulting in a wider interval. Increasing the confidence will decrease the margin of error resulting in a narrower interval. Increasing the confidence will have no effect on the interval.
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