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10. An experiment was conducted to see if listening to music while learning increased retention of material. Forty student voluntcers at a college were randomly assigned to one of two groups of twenty. The first group listencd to a teacher lecture with music playing in the background and the second group just listened to the teacher lecture. After thc lccture, students were given a test on the material that was taught. Thirteen of the students in group one passed the test and 11 of the students in group two passed the test. Thus, the difference in the proportion of studcnts who passed the test was 0,10. Fifty trials of a simulation were performed to see what differences in proportions would occur due to chance variation in the random assignment assuming listening to music did not matter. The dotplot of the results of the simulation is shown below. Bascd on the dotplot, are the results statisically significant?

10. An experiment was conducted to see if listening to music while learning increased retention of material. Forty student voluntcers at a college were randomly assigned to one of two groups of twenty. The first group listencd to a teacher lecture with music playing in the background and the second group just listened to the teacher lecture. After thc lccture, students were given a test on the material that was taught. Thirteen of the students in group one passed the test and 11 of the students in group two passed the test. Thus, the difference in the proportion of studcnts who passed the test was 0,10. Fifty trials of a simulation were performed to see what differences in proportions would occur due to chance variation in the random assignment assuming listening to music did not matter. The dotplot of the results of the simulation is shown below. Bascd on the dotplot, are the results statisically significant?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Name: ID: A 10. An experiment was conducted to see if listening to music while learning increased retention of material. Forty student voluntcers at a college were randomly assigned to one of two groups of twenty. The first group listencd to a teacher lecture with music playing in the background and the second group just listened to the teacher lecture. After the lecture, studcnts were given a test on the material that was taught. Thirtecn of the students in group one passed the test and 11 of the students in group two passed the test. Thus, the difference in the proportion of studcnts who passed the test was 0.10. Fifty trials of a simulation were performed to sec what differences in proportions would occur due to chance variation in the random assignment assuming listening to music did not matter. The dotplot of the results of the simulation is shown below. Bascd on the dotplot, are the results statistically significant? ill. 02 0.1 02 03 Sumulated diffeence in sample proportiom of Pass Because the center of the graph is 0, the difference is statistically significant. It is extremcly likcly to get a difference as big as 0.10 solely from random assignment to a. groups. b. Because the 0.1 was not the most frequent result in the simulanan, the difference is not statistically significant. It is extremely unlikely to get a difference as big as 0.10 solcly from random assignment to groups. Because 0.10 or greater is somewhat likely to occur in the simulation, the difference C. is statistically significant. solely from random assignment to groups. Because 0.10 or greater is somewhat likely to occur in the simulation, the difference is not statistically significant. It is likcly to gct a diffcrence as big as 0.10 solely from is extremely unlikely to get a difference as big as 0.10 d.
Transcribed Image Text:Name: ID: A 10. An experiment was conducted to see if listening to music while learning increased retention of material. Forty student voluntcers at a college were randomly assigned to one of two groups of twenty. The first group listencd to a teacher lecture with music playing in the background and the second group just listened to the teacher lecture. After the lecture, studcnts were given a test on the material that was taught. Thirtecn of the students in group one passed the test and 11 of the students in group two passed the test. Thus, the difference in the proportion of studcnts who passed the test was 0.10. Fifty trials of a simulation were performed to sec what differences in proportions would occur due to chance variation in the random assignment assuming listening to music did not matter. The dotplot of the results of the simulation is shown below. Bascd on the dotplot, are the results statistically significant? ill. 02 0.1 02 03 Sumulated diffeence in sample proportiom of Pass Because the center of the graph is 0, the difference is statistically significant. It is extremcly likcly to get a difference as big as 0.10 solely from random assignment to a. groups. b. Because the 0.1 was not the most frequent result in the simulanan, the difference is not statistically significant. It is extremely unlikely to get a difference as big as 0.10 solcly from random assignment to groups. Because 0.10 or greater is somewhat likely to occur in the simulation, the difference C. is statistically significant. solely from random assignment to groups. Because 0.10 or greater is somewhat likely to occur in the simulation, the difference is not statistically significant. It is likcly to gct a diffcrence as big as 0.10 solely from is extremely unlikely to get a difference as big as 0.10 d.
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