d. What is the average and standard deviation of these hve 2-scores 3. A stress
ID: 3350148 • Letter: D
Question
d. What is the average and standard deviation of these hve 2-scores 3. A stress researcher is measuring how fast people hit a red button after a loud noise. He gathers data from 81 people N- 81). His participants reaction times are normally distributed. The average reaction time was 2.0 seconds, with a standard deviation of 0.2 seconds, Using a standard normal table Table A-11 answer the following questions (hint: you need to convert raw scores into z-scores) a. What proportion of his participants will be between 1.6 and 21 seconds? b. What proportion of his participants will be between 1.4 and 2.22 c. What proportion of his participants will be between 2.3 and 2.7? d. What proportions of participants will be above 2.4 seconds e. Of the z-scores you calculated above which is the most probable? Which is the least probable? Explain your answers f. What would the standard error of the mean be for the sampling distribution from which this sample of reaction times was drawn, if we assume the population SD (sigma, ) is also 02? g. If we are using an alpha - 05, what would the critical values be in raw units (hint: you don't need the z table for this)? Next .Explanation / Answer
Solutiona:
Z for 1.6 is
z =x-mean/sd
=1.6-2/0.2
=-2
Z for 2.1 is=2.1-2/0.2
Z=0.5
need to find
P(-2<Z<0.5)
=0.6687
ANSWER:0.6687
SolutionB:
z for 1.4 and 2.2 is
P(1.4-2/0.2<Z<2.2-2/0.2)
=P(-3<Z<1)
=0.84
ANSWER:0.84
Solutionc::
P(2.3-2/0.2<Z<2.7-2/0.2)
P(1.5<Z<3.5)
=0.0666
ANSWER:0.0666
SOlutiond:
P(X>2.4)
Z=2.4-2/0.2
=0.4/0.2
=2
P(Z>2)
=0.0228
ANSWER:0.0228
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