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 22.7 with a standard deviation of 4.2, while the 200 students in group 2 had a mean score of 17.1 with a standard deviation of 3.7. Complete parts (a) and (b) below. (a) Determine the 95% confidence interval for the difference in scores, H1-H2. 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. OA. The researchers are 95% confident that the difference of the means is in the interval. OB. There is a 95% probability that the difference of the means is in the interval. OC. The researchers are 95% confident that the difference between randomly selected individuals will be in the interval. OD. There is a 95% probability that the difference between randomly selected individuals will be in the interval. (b) What does this say about priming? OA. Since the 95% confidence interval does not contain zero, the results suggest that priming does not have an effect on scores OB. Since the 95% confidence interval contains zero, the results suggest that priming does have an effect on scores. OC. Since the 95% confidence interval does not contain zero, the results suggest that priming does have an effect on scores. OD. Since the 95% 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
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Author:Carter
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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 22.7 with a standard deviation of 4.2, while the 200 students in group 2 had a mean score of 17.1
with a standard deviation of 3.7. Complete parts (a) and (b) below.
(a) Determine the 95% confidence interval for the difference in scores, H1-H2. 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.
OA. The researchers are 95% confident that the difference of the means is in the interval.
OB. There is a 95% probability that the difference of the means is in the interval.
OC. The researchers are 95% confident that the difference between randomly selected individuals will be in the interval.
OD. There is a 95% probability that the difference between randomly selected individuals will be in the interval.
(b) What does this say about priming?
OA. Since the 95% confidence interval does not contain zero, the results suggest that priming does not have an effect on
scores
OB. Since the 95% confidence interval contains zero, the results suggest that priming does have an effect on scores.
OC. Since the 95% confidence interval does not contain zero, the results suggest that priming does have an effect on scores.
OD. Since the 95% confidence interval contains zero, the results suggest that priming does not have an effect on scores.
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 22.7 with a standard deviation of 4.2, while the 200 students in group 2 had a mean score of 17.1 with a standard deviation of 3.7. Complete parts (a) and (b) below. (a) Determine the 95% confidence interval for the difference in scores, H1-H2. 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. OA. The researchers are 95% confident that the difference of the means is in the interval. OB. There is a 95% probability that the difference of the means is in the interval. OC. The researchers are 95% confident that the difference between randomly selected individuals will be in the interval. OD. There is a 95% probability that the difference between randomly selected individuals will be in the interval. (b) What does this say about priming? OA. Since the 95% confidence interval does not contain zero, the results suggest that priming does not have an effect on scores OB. Since the 95% confidence interval contains zero, the results suggest that priming does have an effect on scores. OC. Since the 95% confidence interval does not contain zero, the results suggest that priming does have an effect on scores. OD. Since the 95% confidence interval contains zero, the results suggest that priming does not have an effect on scores.
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