Question

In a study examining the effect of alcohol on reaction time, Liguori and Robinson (2001) found that even moderate alcohol consumption significantly slowed response time to an emergency situation in a driving simulation. In a similar study, researchers measured reaction time 30 minutes after participants consumed one 6-ounce glass of wine. Again, they used a standardized driving simulation task for which the regular population averages μ = 400 msec. The distribution of reaction times is approximately normal with σ = 40. Assume that the researcher obtained a sample mean of M = 422 for the n = 25 participants in the study. c. Are the data sufficient to conclude that alcohol has a significant effect on reaction time? Use a two-tailed test with α = .01. Write your results in APA style. d. Do the data provide evidence that alcohol significantly increased (slowed) reaction time? Use a one-tailed test with α = .05. Write your results in APA style.

          In a study examining the effect of alcohol on reaction time, Liguori and Robinson (2001) found that even moderate alcohol consumption significantly slowed response time to an emergency situation in a driving simulation. In a similar study, researchers measured reaction time 30 minutes after participants consumed one 6-ounce glass of wine. Again, they used a standardized driving simulation task for which the regular population averages μ = 400 msec. The distribution of reaction times is approximately normal with σ = 40. Assume that the researcher obtained a sample mean of M = 422 for the n = 25 participants in the study.

c. Are the data sufficient to conclude that alcohol has a significant effect on reaction time? Use a two-tailed test with α = .01. Write your results in APA style.

d. Do the data provide evidence that alcohol significantly increased (slowed) reaction time? Use a one-tailed test with α = .05. Write your results in APA style.

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Added by Curtis C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Gaurav Kalra

10/29/2021

Step 1

For the two-tailed test: - Null hypothesis (H0): There is no effect of alcohol on reaction time, so the mean reaction time after consuming alcohol is equal to the population mean (μ = 400 msec). - Alternative hypothesis (H1): There is an effect of alcohol on Show more…

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In a study examining the effect of alcohol on reaction time, Liguori and Robinson (2001) found that even moderate alcohol consumption significantly slowed response time to an emergency situation in a driving simulation. In a similar study, researchers measured reaction time 30 minutes after participants consumed one 6-ounce glass of wine. Again, they used a standardized driving simulation task for which the regular population averages μ = 400 msec. The distribution of reaction times is approximately normal with σ = 40. Assume that the researcher obtained a sample mean of M = 422 for the n = 25 participants in the study. c. Are the data sufficient to conclude that alcohol has a significant effect on reaction time? Use a two-tailed test with α = .01. Write your results in APA style. d. Do the data provide evidence that alcohol significantly increased (slowed) reaction time? Use a one-tailed test with α = .05. Write your results in APA style.

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Transcript

00:01 Hi as we have the other positions coming out to be mu equals 400 or alternative positions we have mu is not equal to 400.

00:07 Now we go for two total tests basically in two till tests first we go for z test that's coming out to be z equals we have x -par negative mu or we have sigma by root in the value of x part that is given as 4 to negative mu is 400 over sigma is given as 40 or we have root 25.

00:33 So it's all this and it's 205, we get the value as 2 .75.

00:36 I use the axle for that, 2 .75.

00:39 Now, here's a p value from that.

00:41 So for the p value, what axel does actually, i'm using an excel for in the p value.

00:45 What i use, i use the function for here for this cell.

00:48 I use the function, normal distribution.

00:49 I put the z value, 2 .75, 0 is the mean.

00:53 One is the center deviation and two is the cognitive frequency.

00:56 I use the formula in excel, and i get a z value.

00:58 I just show the graph form here.

01:00 So z is here.

01:01 This is the mean.

01:02 And this is z value here the mu is 0 and this is mu is 2 .75 so it will give me this this the probability that is coming out to be here that is 0 .99702 037 but i need a two tail now so for two tailed so what i need basically i need this frequency is 2 .75 so this i need here and negative 2 .75 this i need that is for two tail right so i do so for here i do one negative in this, 1 negative 0 .997.

01:37 So when i do this, 1 negative 0 .997, 02, 037, i get this value.

01:45 0 .00297763.

01:48 And then for 2 .2 value, i just do double of that.

01:51 So 2 times, this value is your we have 2 times 0 .002977763.

01:59 If i double that i get the value 0 .005959.

02:04 So, p value is coming out to be 0 .00.

02:08 Let me check how many, around to how many decimal places.

02:12 So it is not given on to how many decimal places.

02:15 So just put the complete value here...

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