Dr. Thomas is studying the effects of alcohol on reaction time. He administered

Question

Dr. Thomas is studying the effects of alcohol on reaction time. He administered a reaction time test to 50 people who consumed 1 alcoholic beverage. His sample had a mean reaction time score of 150 milliseconds (msec) with a standard deviation of 25 msec. Use the following information to solve Problems 1-5.

1. What would the T score be for a subject that scored 119 msec?

    a. 62.4

    b. 81.5

    c. 119

    d. 37.6

    e. 23.1

2. What proportion of participants scored more than 163 msec?

    a. .3015

    b. .2912

    c. .1591

    d. .1985

    e. .2946

3. What proportion of participants scored more than 127 msec?

    a. .1788

    b. .3212

    c. .1791

    d. .3264

    e. .8212

4. What proportion of participants scored between 132 and 115 msec?

    a. .3166

    b. .2145

    c. .6834

    d. .4192

    e. .1550

5. What reaction time score would represent the 80th percentile?

    a. 44.5

    b. 171.04

    c. 180.7

    d. 80.0

    e. 153.2

Explanation / Answer

1) T score =50+z*10 =50+(119-150)*10/25=37.6

option D is correct

2)

option A

3)

option E

4)

option E

5)

for 80th percentile ;z =0.8416

hence corresponding score =mean +z*Std deviation =150+0.8416*25 =171.04

option b

for normal distribution z score =(X-)/ here mean=       = 150 std deviation   == 25.0000

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