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 24.1 with a standard deviation of 3.7, while the 200 students in group 2 had a mean score of 17.6 with a standard deviation of 2.8. Complete parts (a) and (b) below. (a) Determine the 90% confidence interval for the difference in scores, μ₁ −μ₂. Interpret the interval. The lower bound is The upper bound is (Round to three decimal places as needed.) Interpret the interval. Choose the correct answer below. A. The researchers are 90% confident that the difference of the means is in the interval. B. There is a 90% probability that the difference of the means is in the interval. C. The researchers are 90% confident that the difference between randomly selected individuals will be in the interval. O D. There is a 90% probability that the difference between randomly selected individuals will be in the interval. (b) What does this say about priming? A. Since the 90% confidence interval contains zero, the results suggest that priming does have an effect on scores. O B. Since the 90% confidence interval contains zero, the results suggest that priming does not have an effect on scores
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 24.1 with a standard deviation of 3.7, while the 200 students in group 2 had a mean score of 17.6 with a standard deviation of 2.8. Complete parts (a) and (b) below. (a) Determine the 90% confidence interval for the difference in scores, μ₁ −μ₂. Interpret the interval. The lower bound is The upper bound is (Round to three decimal places as needed.) Interpret the interval. Choose the correct answer below. A. The researchers are 90% confident that the difference of the means is in the interval. B. There is a 90% probability that the difference of the means is in the interval. C. The researchers are 90% confident that the difference between randomly selected individuals will be in the interval. O D. There is a 90% probability that the difference between randomly selected individuals will be in the interval. (b) What does this say about priming? A. Since the 90% confidence interval contains zero, the results suggest that priming does have an effect on scores. O B. Since the 90% confidence interval contains zero, the results suggest that priming does not have an effect on scores
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 24.1 with a standard deviation of 3.7, while the 200
students in group 2 had a mean score of 17.6 with a standard deviation of 2.8. Complete parts (a) and (b) below.
(a) Determine the 90% confidence interval for the difference in scores, µ₁ −µ₂. Interpret the interval.
The lower bound is
The upper bound is
(Round to three decimal places as needed.)
Interpret the interval. Choose the correct answer below.
A. The researchers are 90% confident that the difference of the means is in the interval.
B. There is a 90% probability that the difference of the means is in the interval.
C. The researchers are 90% confident that the difference between randomly selected individuals will be in the
interval.
D. There is a 90% probability that the difference between randomly selected individuals will be in the interval.
(b) What does this say about priming?
A. Since the 90% confidence interval contains zero, the results suggest that priming does have an effect on
scores.
B. Since the 90% confidence interval contains zero, the results suggest that priming does not have an effect on
scores
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