Carlos is interested in estimating the mean amount of time it takes players to complete a level of the game he's designing. He recruits 7 players of varying skill levels and ages to play the level until they complete it (he's willing to treat this as a random sample), and he times how long it takes each of them. They play separately from each other, so Carlos is also willing to assume independence. Here are the data with summary statistics: Player 1 2 3 4 5 7 Time (minutes) 48 46 40 34 49 40 37 Mean a = 42 min Standard deviation S7 = 5.7 min Assume that all conditions for inference are met for this sample. Which of the following is a 95% confidence interval for the mean time (in minutes) it takes players to complete this level? Choose 1 answer: 42 ± 14 B 42 + 11.4 C 42 + 5.3 42 + 4.2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Carlos is interested in estimating the mean amount of time it takes players to complete a level of the game he's
designing. He recruits 7 players of varying skill levels and ages to play the level until they complete it (he's
willing to treat this as a random sample), and he times how long it takes each of them. They play separately
from each other, so Carlos is also willing to assume independence. Here are the data with summary statistics:
Player
1
3
4
5
6 7
Time (minutes)
48
46 40
34
49
40
37
Мean
* = 42 min
Standard deviation
S = 5.7 min
Assume that all conditions for inference are met for this sample.
Which of the following is a 95% confidence interval for the mean time (in minutes) it takes players to
complete this level?
Choose 1 answer:
42 + 14
42 + 11.4
42 + 5.3
42 + 4.2
Transcribed Image Text:Carlos is interested in estimating the mean amount of time it takes players to complete a level of the game he's designing. He recruits 7 players of varying skill levels and ages to play the level until they complete it (he's willing to treat this as a random sample), and he times how long it takes each of them. They play separately from each other, so Carlos is also willing to assume independence. Here are the data with summary statistics: Player 1 3 4 5 6 7 Time (minutes) 48 46 40 34 49 40 37 Мean * = 42 min Standard deviation S = 5.7 min Assume that all conditions for inference are met for this sample. Which of the following is a 95% confidence interval for the mean time (in minutes) it takes players to complete this level? Choose 1 answer: 42 + 14 42 + 11.4 42 + 5.3 42 + 4.2
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