Driving A research team studied the relationship between light alcohol consumption and driving when the driver is already sleep deprived. 62 men were recruited and asked to complete a simulated two-hour highway drive in the lab. They were randomly assigned to two treatment groups. Each group has 31 men. In the first group, the participants drank a glass of beer before driving. In the second group, the participants drank a glass of water before driving. The computer recorded how many times a driver drifted out of the lane. The night before their visit to the lab, all 62 participants restricted their sleep time to no more than 5 hours. See below for the summary statistics of the data. Let X be the number of times a driver drifts out of the lane during the simulated 2-hour highway drive. Let S be the sample standard deviation of X. First treatment group T1-32 S₁-3.7 I Second treatment group T2-18 S₂=2.9 S Use a hypothesis test at 0.05 significance level to answer the question: does light alcohol consumption (having one glass of beer) have a negative impact on the driving performance of a sleep-deprived driver? Assume that the conditions for hypothesis testing are met. Compute the test statistic. Please show your work. 4 12pt BIUA A LE Paragraph Y xx, EE fr Does the test result provide sufficient evidence that light alcohol consumption has a negative impact on the driving performance of a sleep-deprived driver? why or why not?

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Compute the test statistic please show your work

MNA
8
13
F1
...
2
60
Driving
A research team studied the relationship between light alcohol consumption and
driving when the driver is already sleep deprived. 62 men were recruited and
asked to complete a simulated two-hour highway drive in the lab. They were
randomly assigned to two treatment groups. Each group has 31 men. In the first
group, the participants drank a glass of beer before driving. In the second group,
the participants drank a glass of water before driving. The computer recorded
how many times a driver drifted out of the lane. The night before their visit to the
lab, all 62 participants restricted their sleep time to no more than 5 hours.
See below for the summary statistics of the data. Let X be the number of times a
driver drifts out of the lane during the simulated 2-hour highway drive. Let S be
the sample standard deviation of X.
First treatment group
1-32
S1-3.7
۲
W ....
Second treatment group
T2=18
x
S
S2=2.9
Use a hypothesis test at 0.05 significance level to answer the question: does light
alcohol consumption (having one glass of beer) have a negative impact on the
driving performance of a sleep-deprived driver? Assume that the conditions for
hypothesis testing are met.
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Transcribed Image Text:MNA 8 13 F1 ... 2 60 Driving A research team studied the relationship between light alcohol consumption and driving when the driver is already sleep deprived. 62 men were recruited and asked to complete a simulated two-hour highway drive in the lab. They were randomly assigned to two treatment groups. Each group has 31 men. In the first group, the participants drank a glass of beer before driving. In the second group, the participants drank a glass of water before driving. The computer recorded how many times a driver drifted out of the lane. The night before their visit to the lab, all 62 participants restricted their sleep time to no more than 5 hours. See below for the summary statistics of the data. Let X be the number of times a driver drifts out of the lane during the simulated 2-hour highway drive. Let S be the sample standard deviation of X. First treatment group 1-32 S1-3.7 ۲ W .... Second treatment group T2=18 x S S2=2.9 Use a hypothesis test at 0.05 significance level to answer the question: does light alcohol consumption (having one glass of beer) have a negative impact on the driving performance of a sleep-deprived driver? Assume that the conditions for hypothesis testing are met. F2 X 3 × mmand to S >>> D L #3 E 80 F3 is ي $ 4 9.7 R 3 F { F4 G:11: J. > CisV Home bartleby % 5 L 0 T D G F5 ^ 6 10 3. J B r Y i MacBook Air H ز 84 & 7 غ 29. U Ad F7 J J J N! * 00 J 0: W 12pt ع t 12pt Compute the test statistic. Please show your work. ( Y 8 A 9 12pt DII F8 B I U B K ؤ M b 66" XSKN Does the test result provide sufficient evidence that light alcohol consumption has a negative impact on the driving performance of a sleep-deprived driver? why or why not? BIU А - A TX² Paragraph CD 9 Paragraph A Y A T3 I U A Paragraph 9 C. V DD F9 H ) ( O 2. A Y S M P 用 ⠀ ~ command Tx V F10 .. A 1 { C (1 V. alt F11 أى ; fx fx ? option X + 11 [で] S 1 1 x²x₂ E !!! !!! F12 : 13 S. !!! 0¹ date: D delete ↑ RE
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