Math 227 - Statistics » Winter 2024 » Module V Quiz

Need help with your exam preparation?

Question #1
Given N(0,1), find the 96th percentile.
A.   1.38
B.   1.82
C.   1.75
D.   1.03
Question #2
A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information, assuming N(0,1) distribution. If 9% of the thermometers are rejected because they have readings that are too low, but all other thermometers are acceptable, find the temperature that separates the rejected thermometers from the others.
A.   -1.39°
B.   -1.34°
C.   -1.45°
D.   -1.26°
Question #3
In an experiment, the mean is μ= 15.2 and the standard deviation is σ = 0.9. Find the probability that X is greater than 16.1.
A.   0.1357
B.   0.1587
C.   0.155
D.   0.8413
Question #4
According to AccuData Media Research, 36% of televisions within the Chicago city limits are tuned to "Eyewitness News" at 5:00 pm on Sunday nights. At 5:00 pm on a given Sunday, 2500 such televisions are randomly selected and checked to determine what is being watched. Would it be unusual to find that 872 of the 2500 televisions are tuned to "Eyewitness News"?
A.   YES
B.   NO
Question #5
Assume that women have heights that are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. Find the value of the quartile Q3.
A.   67.8 inches
B.   66.1 inches
C.   64.3 inches
D.   65.3 inches
Question #6
The weights of certain machine components are normally distributed with a mean of 8.01 g and a standard deviation of 0.06 g. Find the two weights that separate the top 3% and the bottom 3%. These weights could serve as limits used to identify which components should be rejected. Round to the nearest hundredth of a gram.
A.   7.88 g and 8.17 g
B.   7.90 g and 8.12 g
C.   8.00 g and 8.02 g
D.   7.98 g and 8.04 g
Question #7
The incomes of trainees at a local mill are normally distributed with a mean of $1100 and a standard deviation of $150. What percentage of trainees earn less than $900 a month?
A.   90.82%
B.   40.82%
C.   35.31%
D.   9.18%
Question #8
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 170 and 220.
A.   0.0703
B.   0.2257
C.   0.1554
D.   0.3811

Need help with your exam preparation?