Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. The students in group 1 were asked to spend 5 minutes thinking about what it would mean to be a professor, while the students in group 2 were asked to think about soccer hooligans. These pretest thoughts are a form of priming. The 200 students in group 1 had a mean score of 26.6 with a standard deviation of 4, while the 200 students in group 2 had a mean score of 16.2 with a standard deviation of 2.9. Complete parts (a) and (b) below. ... (a) Determine the 95% confidence interval for the difference in scores, u, -H2. Interpret the interval. The lower bound is The upper bound is (Round to three decimal places as needed.)

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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Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions
from a board game. The students in group 1 were asked to spend 5 minutes thinking about what it would mean
to be a professor, while the students in group 2 were asked to think about soccer hooligans. These pretest
thoughts are a form of priming. The 200 students in group 1 had a mean score of 26.6 with a standard deviation
of 4, while the 200 students in group 2 had a mean score of 16.2 with a standard deviation of 2.9. Complete
parts (a) and (b) below.
(a) Determine the 95% confidence interval for the difference in scores, µ, - H2. Interpret the interval.
The lower bound is
The upper bound is
(Round to three decimal places as needed.)
Transcribed Image Text:Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. The students in group 1 were asked to spend 5 minutes thinking about what it would mean to be a professor, while the students in group 2 were asked to think about soccer hooligans. These pretest thoughts are a form of priming. The 200 students in group 1 had a mean score of 26.6 with a standard deviation of 4, while the 200 students in group 2 had a mean score of 16.2 with a standard deviation of 2.9. Complete parts (a) and (b) below. (a) Determine the 95% confidence interval for the difference in scores, µ, - H2. Interpret the interval. The lower bound is The upper bound is (Round to three decimal places as needed.)
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Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions
from a board game. The students in group 1 were asked to spend 5 minutes thinking about what it would mean
to be a professor, while the students in group 2 were asked to think about soccer hooligans. These pretest
thoughts are a form of priming. The 200 students in group 1 had a mean score of 26.6 with a standard deviation
of 4, while the 200 students in group 2 had a mean score of 16.2 with a standard deviation of 2.9. Complete
parts (a) and (b) below.
(a) Determine the 95% confidence interval for the difference in scores, µ, - H2. Interpret the interval.
The lower bound is 9.713.
The upper bound is 11.087
(Round to three decimal places as needed.)
Interpret the interval. Choose the correct answer below.
A. There is a 95% probability that the difference of the means is in the interval.
B. The researchers are 95% confident that the difference of the means is in the interval.
C. The researchers are 95% confident that the difference between randomly selected individuals will be in
the interval.
D. There is a 95% probability that the difference between randomly selected individuals will be in the
interval.
Transcribed Image Text:Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. The students in group 1 were asked to spend 5 minutes thinking about what it would mean to be a professor, while the students in group 2 were asked to think about soccer hooligans. These pretest thoughts are a form of priming. The 200 students in group 1 had a mean score of 26.6 with a standard deviation of 4, while the 200 students in group 2 had a mean score of 16.2 with a standard deviation of 2.9. Complete parts (a) and (b) below. (a) Determine the 95% confidence interval for the difference in scores, µ, - H2. Interpret the interval. The lower bound is 9.713. The upper bound is 11.087 (Round to three decimal places as needed.) Interpret the interval. Choose the correct answer below. A. There is a 95% probability that the difference of the means is in the interval. B. The researchers are 95% confident that the difference of the means is in the interval. C. The researchers are 95% confident that the difference between randomly selected individuals will be in the interval. D. There is a 95% probability that the difference between randomly selected individuals will be in the interval.
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