AP Statistics Review- Chapter 6

AP Statistics Review- Chapter 6

Name: ______Date: ______pd: ______

AP Statistics Review- Chapter 6

1) The income per household in a certain state is normally distributed with a mean $9500 and a standard deviation of $1750. The middle 95% of incomes are between what two values?
a) $5422 and $13,578
b) $7260 and $11,740
c) $6070 and $12,930
d) $8049 and $10,951
e) $6621 and $12,379 / 2) An electronic product takes an average of 3.4 hours to move through an assembly line. If the time is normally distributed with a standard deviation of 0.5 hour, what is the probability that an item will take between 3 and 4 hours to go through the line?
a) .2119d) .3811
b) .2295e) .6730
c) .3270
3) Scores on the American College Test (ACT) are normally distributed with a mean of 18 and a standard deviation of 6. The interquartile range of the scores is approximately:
A) 6
B) 7
C) 8.4
D) 10.3
E) 12 / 4) Find the percent of a standard Normal model found in the given region. Round to the nearest hundredth of a percent:
A) 76.47%
B) 22.11%
C) 75.57%
D) 154.00%
E) 48.84%
5) The setter on your school’s volleyball team average 51 assists per match with a standard deviation of 8. How many standard deviations from the mean is an outing with 78 assists?
A) About 3.38 standard deviations above the mean
B) About 1.53 standard deviations above the mean
C) About 1.69 standard deviations below the mean
D) About 3.38 standard deviations below the mean
E) About 1.69 standard deviations above / 6) For a recent English exam, use the Normal model to find the score that represents the 60th percentile.
A) 75.3
B) 82.2
C) 43.8
D) 63.8
E) 70.7

Name: ______Date: ______pd: ______

AP Statistics Review- Chapter 6

1) The income per household in a certain state is normally distributed with a mean $9500 and a standard deviation of $1750. The middle 95% of incomes are between what two values?
a) $5422 and $13,578
b) $7260 and $11,740
c) $6070 and $12,930
d) $8049 and $10,951
e) $6621 and $12,379 / 2) An electronic product takes an average of 3.4 hours to move through an assembly line. If the time is normally distributed with a standard deviation of 0.5 hour, what is the probability that an item will take between 3 and 4 hours to go through the line?
a) .2119d) .3811
b) .2295e) .6730
c) .3270
3) Scores on the American College Test (ACT) are normally distributed with a mean of 18 and a standard deviation of 6. The interquartile range of the scores is approximately:
A) 6
B) 7
C) 8.4
D) 10.3
E) 12 / 4) Find the percent of a standard Normal model found in the given region. Round to the nearest hundredth of a percent:
A) 76.47%
B) 22.11%
C) 75.57%
D) 154.00%
E) 48.84%
5) The setter on your school’s volleyball team average 51 assists per match with a standard deviation of 8. How many standard deviations from the mean is an outing with 78 assists?
A) About 3.38 standard deviations above the mean
B) About 1.53 standard deviations above the mean
C) About 1.69 standard deviations below the mean
D) About 3.38 standard deviations below the mean
E) About 1.69 standard deviations above / 6) For a recent English exam, use the Normal model to find the score that represents the 60th percentile.
A) 75.3
B) 82.2
C) 43.8
D) 63.8
E) 70.7

Answer Key:

1) C

2) E

3) C

4) C

5) A

6) A