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Researchers at Arizona State University (McNabb & Gray, 2016) explored the effects on driving with various types of cell phone use. In particular, they were interested in comparing the effects between text-based media and picture- based media. They had their subjects use a driving simulator and requested that they stay two seconds behind the car in front of them. The car in front traveled between 55 and 65 mph and was programmed to come to a complete stop eight times during the simulation. One of the variables they measured was the reaction time for the subjects to brake when the car in front of them stopped. They measured this when the subjects were instructed to scroll through Facebook messages that consisted of just text. They also measured this when the subjects were instructed to scroll through Instagram pictures that did not contain any text. The order of the conditions was randomized. The results, in seconds, are in the file BrakeReactionTime. We want to decide whether there is a difference in the average braking reaction time when looking at text (Facebook) on your phone while driving and looking at pictures (Instagram) on your phone while driving. Put the data file BrakeReactionTime in the Matched Pairs applet and do at least 1,000 randomizations. (a) Using the 2SD method, determine an approximate 95% confidence interval for the mean difference in braking reaction time between looking at Facebook and Instagram (Facebook - Instagram).

Researchers at Arizona State University (McNabb & Gray, 2016) explored the effects on driving with various types of cell phone use. In particular, they were interested in comparing the effects between text-based media and picture- based media. They had their subjects use a driving simulator and requested that they stay two seconds behind the car in front of them. The car in front traveled between 55 and 65 mph and was programmed to come to a complete stop eight times during the simulation. One of the variables they measured was the reaction time for the subjects to brake when the car in front of them stopped. They measured this when the subjects were instructed to scroll through Facebook messages that consisted of just text. They also measured this when the subjects were instructed to scroll through Instagram pictures that did not contain any text. The order of the conditions was randomized. The results, in seconds, are in the file BrakeReactionTime. We want to decide whether there is a difference in the average braking reaction time when looking at text (Facebook) on your phone while driving and looking at pictures (Instagram) on your phone while driving. Put the data file BrakeReactionTime in the Matched Pairs applet and do at least 1,000 randomizations. (a) Using the 2SD method, determine an approximate 95% confidence interval for the mean difference in braking reaction time between looking at Facebook and Instagram (Facebook - Instagram).

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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Part A and B and data are in pictures uploaded

Facebook Instagram 1.25401 0.962927 1.100017 0.600018 1.020859 0.9466 0.86421 0.725775 0.793354 0.816683 1.252108 1.134345 0.855568 0.861133 0.814002 1.022243 1.932247 0.733227 1.520868 1.26431 0.956343 0.873783 1.036147 0.714603 1.311931 0.890012. 0.881274 0.747237 1.075025 0.626684 1.011208 1.183359 1.066692 0.83335 2.47226 1.12057
Transcribed Image Text:Facebook Instagram 1.25401 0.962927 1.100017 0.600018 1.020859 0.9466 0.86421 0.725775 0.793354 0.816683 1.252108 1.134345 0.855568 0.861133 0.814002 1.022243 1.932247 0.733227 1.520868 1.26431 0.956343 0.873783 1.036147 0.714603 1.311931 0.890012. 0.881274 0.747237 1.075025 0.626684 1.011208 1.183359 1.066692 0.83335 2.47226 1.12057
Researchers at Arizona State University (McNabb & Gray, 2016) explored the effects on driving with various types of cell phone use. In particular, they were interested in comparing the effects between text-based media and picture- based media. They had their subjects use a driving simulator and requested that they stay two seconds behind the car in front of them. The car in front traveled between 55 and 65 mph and was programmed to come to a complete stop eight times during the simulation. One of the variables they measured was the reaction time for the subjects to brake when the car in front of them stopped. They measured this when the subjects were instructed to scroll through Facebook messages that consisted of just text. They also measured this when the subjects were instructed to scroll through Instagram pictures that did not contain any text. The order of the conditions was randomized. The results, in seconds, are in the file BrakeReactionTime. We want to decide whether there is a difference in the average braking reaction time when looking at text (Facebook) on your phone while driving and looking at pictures (Instagram) on your phone while driving. Put the data file BrakeReactionTime in the Matched Pairs applet and do at least 1,000 randomizations. (a) Using the 2SD method, determine an approximate 95% confidence interval for the mean difference in braking reaction time between looking at Facebook and Instagram (Facebook Instagram). eTextbook and Media (b) Based on the confidence interval, is there strong evidence that there is, on average, a difference in the average breaking reaction time between looking at text (Facebook) and looking at pictures (Instagram) on the phone? Yes, because the entire interval is positive (or doesn't contain 0) there is strong evidence that the braking reaction time is higher when drivers are looking at Facebook on their phones compared to when they are looking at Instagram on their phones. Yes, because the entire interval is positive (or doesn't contain 0) there is strong evidence that the average braking reaction time is higher when drivers are looking at Facebook on their phones compared to when they are looking at Instagram on their phones. No, because the entire interval includes both negative and positive values (or does contain 0) there is not strong evidence that the braking reaction time is higher when drivers are looking at Facebook on their phones compared to when they are looking at Instagram on their phones. No, because the entire interval includes both negative and positive values (or does contain 0) there is not strong evidence that the average braking reaction time is higher when drivers are looking at Facebook on their phones compared to when they are looking at Instagram on their phones.
Transcribed Image Text:Researchers at Arizona State University (McNabb & Gray, 2016) explored the effects on driving with various types of cell phone use. In particular, they were interested in comparing the effects between text-based media and picture- based media. They had their subjects use a driving simulator and requested that they stay two seconds behind the car in front of them. The car in front traveled between 55 and 65 mph and was programmed to come to a complete stop eight times during the simulation. One of the variables they measured was the reaction time for the subjects to brake when the car in front of them stopped. They measured this when the subjects were instructed to scroll through Facebook messages that consisted of just text. They also measured this when the subjects were instructed to scroll through Instagram pictures that did not contain any text. The order of the conditions was randomized. The results, in seconds, are in the file BrakeReactionTime. We want to decide whether there is a difference in the average braking reaction time when looking at text (Facebook) on your phone while driving and looking at pictures (Instagram) on your phone while driving. Put the data file BrakeReactionTime in the Matched Pairs applet and do at least 1,000 randomizations. (a) Using the 2SD method, determine an approximate 95% confidence interval for the mean difference in braking reaction time between looking at Facebook and Instagram (Facebook Instagram). eTextbook and Media (b) Based on the confidence interval, is there strong evidence that there is, on average, a difference in the average breaking reaction time between looking at text (Facebook) and looking at pictures (Instagram) on the phone? Yes, because the entire interval is positive (or doesn't contain 0) there is strong evidence that the braking reaction time is higher when drivers are looking at Facebook on their phones compared to when they are looking at Instagram on their phones. Yes, because the entire interval is positive (or doesn't contain 0) there is strong evidence that the average braking reaction time is higher when drivers are looking at Facebook on their phones compared to when they are looking at Instagram on their phones. No, because the entire interval includes both negative and positive values (or does contain 0) there is not strong evidence that the braking reaction time is higher when drivers are looking at Facebook on their phones compared to when they are looking at Instagram on their phones. No, because the entire interval includes both negative and positive values (or does contain 0) there is not strong evidence that the average braking reaction time is higher when drivers are looking at Facebook on their phones compared to when they are looking at Instagram on their phones.
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