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Question 1. Scores on the Wechsler Adult Intelligence (WAIS) approximate a norma

ID: 3072598 • Letter: Q

Question

Question 1. Scores on the Wechsler Adult Intelligence (WAIS) approximate a normal curve with a mean of 100 and a standard deviation of 15. What is the proportion of IQ scores above 125?
A.0.05 B. 0.048 C. -0.048 D.1.67
Question 2 Scores on the Wechsler Adult Intelligence (WAIS) approximate a normal curve with a mean of 100 and a standard deviation of 15. What is the proportion of IQ scores below 82?
A. 0.1151 B. 11.51 C. 38.49 D.12
Question 3. Scores on the Wechsler Adult Intelligence (WAIS) approximate a normal curve with a mean of 100 and a standard deviation of 15. What is the proportion of IQ scores within 9 points of the mean?
A 0.5486 B 0.0038 C.0.4514 D.0.2257
Question 4 Scores on the Wechsler Adult Intelligence (WAIS) approximate a normal curve with a mean of 100 and a standard deviation of 15. What is the proportion of IQ scores more than 40 points from the mean?
A. 0 B. 0.0076 C. 0.0038 D.1
Question 5 "Scores on the Wechsler Adult Intelligence (WAIS) approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ score is identified with the upper 2 percent, that is, the 2 percent to the right (and 98 percent to the left)?"
A.2.05 B.154.3 C.230.75 D.130.75
Question 6 Scores on the Wechsler Adult Intelligence (WAIS) approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ score is identified with the lower 10 percent?
A.65.05 B.103.75 C. 80.8 D.119.2
Question 7 Scores on the Wechsler Adult Intelligence (WAIS) approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ score is identified with the upper 60 percent?
A.96.25 B.119.2 C. 103.9 D.118.3
Question 8 Scores on the Wechsler Adult Intelligence (WAIS) approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ scores are identified with the middle 95 percent? What is the higher number?
A.60.6 B. 129.4 C.100 D. 49.6
Question 9 Scores on the Wechsler Adult Intelligence (WAIS) approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ scores are identified with the middle 95 percent? What is the lower number?
A.76 B.147.06 C. 30.4 D.70.6
Question 10 Scores on the Wechsler Adult Intelligence (WAIS) approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ scores are identified with the middle 99 percent? What is the higher number?
A.100.15 B. 138.70 C.100.65 D.152
Question 11 Scores on the Wechsler Adult Intelligence (WAIS) approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ scores are identified with the middle 99 percent? What is the lower number?
A.61.30 B.50.5 C. 38.55 D. 49.6
Question 12 "Admission to a state university depends partially on the applicant's high school grade point average (GPA). Assume that the applicant's GPAs approximate a normal curve with a mean of 3.2 and a standard deviation of 0.3. If applicants with GPAs of 3.5 or above are automatically admitted, what percent of of applicants will be in this category?"
A.34% B 40% C. 84.13 D. 15.87%
Question 13 "Admission to a state university depends partially on the applicant's high school grade point average (GPA). Assume that the applicant's GPAs approximate a normal curve with a mean of 3.2 and a standard deviation of 0.3. If applicants with GPAs of 2.5 or below are automatically denied admitted, what percent of of applicants will be in this category?"
A. 0.99% B.49.01% C.9% D. 2%
Question 14 Admission to a state university depends partially on the applicant's high school grade point average (GPA). Assume that the applicant's GPAs approximate a normal curve with a mean of 3.2 and a standard deviation of 0.3. A special Honors Program is open to all applicants with GPAs of 3.75 or better. What proportion of applicants are eligible? 0.75 1.83 Correct! 0.0336 0.0475
Question 15 "Admission to a state university depends partially on the applicant's high school grade point average (GPA). Assume that the applicant's GPAs approximate a normal curve with a mean of 3.2 and a standard deviation of 0.3. If the Honors Program is limited to students whose GPAs rank in the upper 10 percent, what GPA will be required for admission to this Honors Program?"
A.3.58 B.0.358 C. 3.46 D.3.2
Question 16 Roughly what percent of people will score between one standard deviation below the mean and one standard deviation above the mean?
A.34% B.100% C.68% D.depends on the scale of measurement
Question 17 A z-score of 15 is possible but not probable.
True False

PROPORTIONS (OF AREA UNDER STANDARD NORMAL CURVE FOR-VALUES OF 0087 -, C' i // 001 10 001 013000 000, 0( ,88888833 001 92 93 406 97 g g 00 04 50 07 0 11 12 13 14 15 6 7 8 1 20 21 22 23 24 25 30 35 40 45 50 60 70 80 90 00 2. 2. 2. 2. 2. 2 2 2 2 33333 33333 33333 33333 33333 33333 33333 4 2 22222 2. 2. 2. 2. 2. ser ese ase 4,44 90 49 49 1424 27 4 4 2 4 6 443 84 4 4 412 997 9 980 195 444 49 997 49 9 97 9 2 3 97 8 4 thi 24 25 26 27 28 29 2 32222222222222224 48 49 2 2 2 2 22222222222222222222222222 A -z A' 04 04 04 Q4 04 96 97 98 99 ,00 01 02 03 04 OS 08

Explanation / Answer

1) proportion of IQ scores above 125 =P(X>125) =P(Z>(125-100)/15)=P(Z>1.67)=0.048

2)

proportion of IQ scores below 82 =P(X<82)=P(Z<-1.2)=0.1151

3)P(91<X<109)=P(-0.6<Z<0.6)=0.4514

4)

P(X>140)=P(X>2.67)=0.0038

5)for top 2% ; critical z =2.05

hence corresponding value =mean+Z*Std deviaion =100+2.05*15=130.75

6)

for bottom 2% ; critical z =-1.28

hence corresponding value =mean+Z*Std deviaion =100-1.28*15=80.8

7)

for top 60% ; critical z =-0.25

hence corresponding value =mean+Z*Std deviaion =100-0.25*15=96.25

8)

for middle 95% ; critical z =-/+1.96

hence corresponding value =mean+Z*Std deviaion =100-/+1.96*15=70.6 to 129.4

9)

lower number =70.6

10)z =-/+2.58

higher number=138.7

11)

  lower number =61.3

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