Math 227 - Statistics » Spring 2023 » 10P The Standard Normal Distribution & Real Applications of Normal Distributions
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Question #1
Draw the standard normal distribution. Shade the area between the z-score of -1.46 and 0.84. Find the shaded area. Round to the nearest ten-thousandth.
A.
0.7274
B.
0.7416
C.
0.9315
D.
0.8176
Question #2
Draw the standard normal distribution. Shade the area between the z-score of -1.46 and 4.52. Find the shaded area. Round to the nearest ten-thousandth.
A.
0.8744
B.
0.9279
C.
0.8346
D.
0.9134
Question #3
Draw the standard normal distribution. The shaded area to the right of the z-score is 0.0764. Find the z-score. Round to the nearest hundredth.
A.
1.29
B.
1.47
C.
1.18
D.
1.43
Question #4
Suppose that replacement times for washing machines are normally distributed with a mean of 9.8 years and a standard deviation of 2.8 years. Find the replacement time that separates the top 10.2% from the rest. Round to the nearest hundredth.
A.
19.72
B.
11.96
C.
12.39
D.
13.36
Question #5
Scores on a test are normally distributed with a mean of 123 and a standard deviation of 20. What percent of scores are more than 135. Express the answer as a percentage rounded to the nearest hundredth without the % sign.
A.
26.52
B.
26.55
C.
27.43
D.
22.48
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