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 2 had a mean score of 15.6 with a standard deviation of 2.7. Complete parts (a) and (b) below. group 1 had a mean score of 23.4 with a standard deviation of 4.1, while the 200 students group (a) Determine the 95% confidence interval for the difference in scores, u, -p2. 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. O A. The researchers are 95% confident that the difference of the means is in the interval. O B. 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. O D. There is a 95% probability that the difference between randomly selected individuals will be in the interval. (b) What does this say about priming? O A. Since the 95% confidence interval contains zero, the results suggest that priming does have an effect on scores. O B. Since the 95% confidence interval does not contain zero, the results suggest that priming does not have an effect on scores. Oc. Since the 95% confidence interval contains zero, the results suggest that priming does not have an effect on scores. OD. Since the 95% confidence interval does not contain zero, the results suggest that priming does have an effect on scores.

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
2 had a mean score of 15.6 with a standard deviation of 2.7. Complete parts (a) and (b) below.
23.4 with a standard deviation of 4.1, while the 200 students in group
(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
three decimal places as needed.)
Interpret the interval. Choose the correct answer below.
O A. The researchers are 95% confident that the difference of the means is in the interval.
O B. 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.
O D. There is a 95% probability that the difference between randomly selected individuals will be in the interval.
(b) What does this say about priming?
O A. Since the 95% confidence interval contains zero, the results suggest that priming does have an effect on scores.
O B. Since the 95% confidence interval does not contain zero, the results suggest that priming does not have an effect on scores.
OC. Since the 95% confidence interval contains zero, the results suggest that priming does not have an effect on scores.
O D. Since the 95% confidence interval does not contain zero, the results suggest that priming does 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 2 had a mean score of 15.6 with a standard deviation of 2.7. Complete parts (a) and (b) below. 23.4 with a standard deviation of 4.1, while the 200 students in group (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 three decimal places as needed.) Interpret the interval. Choose the correct answer below. O A. The researchers are 95% confident that the difference of the means is in the interval. O B. 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. O D. There is a 95% probability that the difference between randomly selected individuals will be in the interval. (b) What does this say about priming? O A. Since the 95% confidence interval contains zero, the results suggest that priming does have an effect on scores. O B. Since the 95% confidence interval does not contain zero, the results suggest that priming does not have an effect on scores. OC. Since the 95% confidence interval contains zero, the results suggest that priming does not have an effect on scores. O D. Since the 95% confidence interval does not contain zero, the results suggest that priming does have an effect on scores.
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