Question 1

Your score on the statistics final exam is at the 70th percentile of the scores for the class. Your score lies

Accepted Answer

A)  below the first quartile. 
B)  between the first quartile and the median. 
C)  between the median and the third quartile. 
D)  above the third quartile. 
E)  Can't tell which quarter your score lies in. 
A)  below the first quartile. 
B)  between the first quartile and the median. 
C)  between the median and the third quartile. 
D)  above the third quartile. 
E)  Can't tell which quarter your score lies in. C

Question 2

The weight losses for participants in a large exercise and diet study vary according to a Normal distribution with mean 14.5 pounds and standard deviation 3 pounds.
Approximately what percent of the participants lose less than 14.5 pounds?

Accepted Answer

A)  16 percent 
B)  34 percent 
C)  50 percent 
D)  84 percent 
E)  95 percent 
A)  16 percent 
B)  34 percent 
C)  50 percent 
D)  84 percent 
E)  95 percent C

Question 3

The weights of cockroaches follow a Normal distribution with mean 80 grams and standard deviation 2 grams. The figure below is the Normal curve for this distribution of weights.   Point A on this Normal curve corresponds to

Accepted Answer

A)  68 grams. 
B)  68 (grams)2. 
C)  72 grams. 
D)  74 grams. 
E)  76 grams. 
A)  68 grams. 
B)  68 (grams)2. 
C)  72 grams. 
D)  74 grams. 
E)  76 grams. D

Question 4

A Normal distribution always

Accepted Answer

A)  is skewed to the right. 
B)  is skewed to the left. 
C)  is symmetric. 
D)  has a mean of 0. 
E)  has more than one peak. 
A)  is skewed to the right. 
B)  is skewed to the left. 
C)  is symmetric. 
D)  has a mean of 0. 
E)  has more than one peak.

Question 5

The distribution of the number of dill pickle spears in a gallon container is approximately Normal with mean 110 and standard deviation 10.
How many dill pickle spears does a container hold if its standardized score is 0.4?

Accepted Answer

A)  4 spears 
B)  14 spears 
C)  104 spears 
D)  114 spears 
E)  We don't have enough information to determine the answer to this question. 
A)  4 spears 
B)  14 spears 
C)  104 spears 
D)  114 spears 
E)  We don't have enough information to determine the answer to this question.

Question 6

The amount of scholarships received among undergraduates at Mountain Tech are approximately Normally distributed. The mean scholarship grant is $12,000. About 95 percent of undergraduates received scholarship amounts between $7,000 and $17,000. The standard deviation of these scholarship amounts is about:

Accepted Answer

A)  $5,000. 
B)  $10,000. 
C)  $12,000. 
D)  $20,000. 
E)  $2,500. 
A)  $5,000. 
B)  $10,000. 
C)  $12,000. 
D)  $20,000. 
E)  $2,500.

Question 7

Suppose that the Blood Alcohol Content (BAC) of students who drink five beers varies from student to student according to a Normal distribution with mean 0.07 and standard deviation 0.01.
The middle 95% of students who drink five beers have a BAC between

Accepted Answer

A)  0.06 and 0.08. 
B)  0.05 and 0.09. 
C)  0.04 and 0.10. 
D)  0.03 and 0.11. 
A)  0.06 and 0.08. 
B)  0.05 and 0.09. 
C)  0.04 and 0.10. 
D)  0.03 and 0.11.

Question 8

Suppose that the Blood Alcohol Content (BAC) of students who drink five beers varies from student to student according to a Normal distribution with mean 0.07 and standard deviation 0.01.
Julie is administered a BAC test and told she scored 0.085. Her standard score is:

Accepted Answer

A) 100. 
B) 150. 
C) 15. 
D)  1.5. 
E)  0.15. 
A) 100. 
B) 150. 
C) 15. 
D)  1.5. 
E)  0.15.

Question 9

The standard deviation of a Normal density curve is the

Accepted Answer

A)  distance between the mean and the point where the curvature of the curve changes. 
B)  point at which the curve reaches its highest value. 
C)  point at which the curve would balance if made of solid material. 
D)  point with half the area under the curve to its left and half to its right. 
A)  distance between the mean and the point where the curvature of the curve changes. 
B)  point at which the curve reaches its highest value. 
C)  point at which the curve would balance if made of solid material. 
D)  point with half the area under the curve to its left and half to its right.

Question 10

The distribution of the number of dill pickle spears in a gallon container is approximately Normal with mean 110 and standard deviation 10.
A container with a standardized score of 0.4 is at the 65.54th percentile. What percent of the containers held more pickle spears than this container?

Accepted Answer

A)  65.54 percent 
B)  40 percent 
C)  34.46 percent 
D)  0.4 percent 
E)  We can't tell from the given information. 
A)  65.54 percent 
B)  40 percent 
C)  34.46 percent 
D)  0.4 percent 
E)  We can't tell from the given information.

Question 11

Scores of adults aged 60 to 64 on a common IQ test are approximately Normally distributed with mean 90 and standard deviation 15.
About what percent of the population of adults aged 60 to 64 have an IQ lower than 60?

Accepted Answer

A)  90 percent 
B)  20 percent 
C)  16 percent 
D)  10 percent 
E)  2.5 percent 
A)  90 percent 
B)  20 percent 
C)  16 percent 
D)  10 percent 
E)  2.5 percent

Question 12

Scores of adults aged 60 to 64 on a common IQ test are approximately Normally distributed with mean 90 and standard deviation 15.
What range of IQ scores contains the central 95% of the population of adults aged 60 to 64?

Accepted Answer

A)  75 to 105 
B)  60 to 120 
C)  30 to 150 
D)  45 to 135 
A)  75 to 105 
B)  60 to 120 
C)  30 to 150 
D)  45 to 135

Question 13

The distribution of the number of dill pickle spears in a gallon container is approximately Normal with mean 110 and standard deviation 10.
Approximately what percent of the containers had fewer than 105 spears?

Accepted Answer

A)  -50 percent 
B)  50 percent 
C)  30.85 percent 
D)  69.15 percent 
E)  -30.85 percent 
A)  -50 percent 
B)  50 percent 
C)  30.85 percent 
D)  69.15 percent 
E)  -30.85 percent

Question 14

Suppose that the distribution of heart rates for medium-sized dogs is Normally distributed with mean 115 beats per minute and standard deviation 18 beats per minute.
Stacy takes her medium-sized dog, Scooter, to the veterinarian for a wellness check and learns that Scooter's heart rate is 126 beats per minute. What is the approximate standard score for Scooter's heart rate?

Accepted Answer

A)  -0.6 
B)  0.6 
C)  7 
D)  11 
E)  18 
A)  -0.6 
B)  0.6 
C)  7 
D)  11 
E)  18

Question 15

In Big Bear Lake, the blue gill (fish) lengths average 8 inches and have a standard deviation of 2 inches. In Moose Jaw Lake, the blue gill lengths average 9.5 inches and have a standard deviation of 1 inch. If people are basing a successful fishing trip on the proportion of fish over 11 inches, they should head for:

Accepted Answer

A)  Big Bear Lake. 
B)  Moose Jaw Lake. 
C)  either lake, because the percentages are the same. 
D)  It is not possible to tell from the information given. 
A)  Big Bear Lake. 
B)  Moose Jaw Lake. 
C)  either lake, because the percentages are the same. 
D)  It is not possible to tell from the information given.

Question 16

Suppose that the Blood Alcohol Content (BAC) of students who drink five beers varies from student to student according to a Normal distribution with mean 0.07 and standard deviation 0.01.
What percent of students who drink five beers have a BAC above 0.10 (the legal limit for driving in some other states)?

Accepted Answer

A)  0.15 percent 
B)  0.3 percent 
C)  2.5 percent 
D)  16 percent 
E)  32 percent 
A)  0.15 percent 
B)  0.3 percent 
C)  2.5 percent 
D)  16 percent 
E)  32 percent

Question 17

Scores of adults aged 60 to 64 on a common IQ test are approximately Normally distributed with mean 90 and standard deviation 15.
The third quartile of the distribution of IQ scores of adults aged 60 to 64 is between

Accepted Answer

A)  90 and 105. 
B)  105 and 120. 
C)  90 and 75. 
D)  60 and 75. 
A)  90 and 105. 
B)  105 and 120. 
C)  90 and 75. 
D)  60 and 75.

Question 18

Suppose that the distribution of heart rates for medium-sized dogs is Normally distributed with mean 115 beats per minute and standard deviation 18 beats per minute.
Approximately what percentage of medium-sized dogs have a heart rate below 115 beats per minute?

Accepted Answer

A)  16% 
B)  34% 
C)  50% 
D)  68% 
E)  95% 
A)  16% 
B)  34% 
C)  50% 
D)  68% 
E)  95%

Question 19

The standard score for any observation is the

Accepted Answer

A)  number of standard deviations the observation is from the mean. 
B)  range covered by the middle half of the data. 
C)  distance from the mean to the point where the concavity of the density curve changes. 
D)  percentage of data values that fall at or below the observation. 
A)  number of standard deviations the observation is from the mean. 
B)  range covered by the middle half of the data. 
C)  distance from the mean to the point where the concavity of the density curve changes. 
D)  percentage of data values that fall at or below the observation.

Question 20

George has an average bowling score of 180 and bowls in a league where the average for all bowlers is 150 and the standard deviation is 20. Bill has an average bowling score of 190 and bowls in a league where the average is 160 and the standard deviation is 15. Who ranks higher in his own league, George or Bill?

Accepted Answer

A)  Bill because his 190 is higher than George's 180. 
B)  Bill because his standard score is higher than George's. 
C)  George because his standard score is higher than Bill's. 
D)  Bill and George have the same rank in their leagues because both are 30 pins above the mean. 
A)  Bill because his 190 is higher than George's 180. 
B)  Bill because his standard score is higher than George's. 
C)  George because his standard score is higher than Bill's. 
D)  Bill and George have the same rank in their leagues because both are 30 pins above the mean.

Your score on the statistics final exam is at the 70th percentile of the scores for the class. Your score lies

The weight losses for participants in a large exercise and diet study vary according to a Normal distribution with mean 14.5 pounds and standard deviation 3 pounds. Approximately what percent of the participants lose less than 14.5 pounds?

The weights of cockroaches follow a Normal distribution with mean 80 grams and standard deviation 2 grams. The figure below is the Normal curve for this distribution of weights. Point A on this Normal curve corresponds to

A Normal distribution always

The distribution of the number of dill pickle spears in a gallon container is approximately Normal with mean 110 and standard deviation 10. How many dill pickle spears does a container hold if its standardized score is 0.4?

Suppose that the Blood Alcohol Content (BAC) of students who drink five beers varies from student to student according to a Normal distribution with mean 0.07 and standard deviation 0.01. The middle 95% of students who drink five beers have a BAC between

Suppose that the Blood Alcohol Content (BAC) of students who drink five beers varies from student to student according to a Normal distribution with mean 0.07 and standard deviation 0.01. Julie is administered a BAC test and told she scored 0.085. Her standard score is:

The standard deviation of a Normal density curve is the

The distribution of the number of dill pickle spears in a gallon container is approximately Normal with mean 110 and standard deviation 10. A container with a standardized score of 0.4 is at the 65.54th percentile. What percent of the containers held more pickle spears than this container?

Scores of adults aged 60 to 64 on a common IQ test are approximately Normally distributed with mean 90 and standard deviation 15. About what percent of the population of adults aged 60 to 64 have an IQ lower than 60?

Scores of adults aged 60 to 64 on a common IQ test are approximately Normally distributed with mean 90 and standard deviation 15. What range of IQ scores contains the central 95% of the population of adults aged 60 to 64?

The distribution of the number of dill pickle spears in a gallon container is approximately Normal with mean 110 and standard deviation 10. Approximately what percent of the containers had fewer than 105 spears?

Scores of adults aged 60 to 64 on a common IQ test are approximately Normally distributed with mean 90 and standard deviation 15. The third quartile of the distribution of IQ scores of adults aged 60 to 64 is between

Suppose that the distribution of heart rates for medium-sized dogs is Normally distributed with mean 115 beats per minute and standard deviation 18 beats per minute. Approximately what percentage of medium-sized dogs have a heart rate below 115 beats per minute?

The standard score for any observation is the

Where Do Data Come From

Samples, Good and Bad

What Do Samples Tell Us

Sample Surveys in the Real World

Experiments, Good and Bad

Experiments in the Real World

Data Ethics

Measuring

Do the Numbers Make Sense

Graphs, Good and Bad

Displaying Distributions With Graphs

Describing Relationships: Scatterplots and Correlation

Describing Relationships: Regression, Prediction, and Causation

The Consumer Price Index and Government Statistics

Thinking About Chance

Probability Models

Simulation

The House Edge: Expected Values

What Is a Confidence Interval

What Is a Test of Significance

Use and Abuse of Statistical Inference

Two-Way Tables and the Chi-Square Test

Filters

Exam 13: Normal Distributions

Your score on the statistics final exam is at the 70th percentile of the scores for the class. Your score lies

The weight losses for participants in a large exercise and diet study vary according to a Normal distribution with mean 14.5 pounds and standard deviation 3 pounds. Approximately what percent of the participants lose less than 14.5 pounds?

The weights of cockroaches follow a Normal distribution with mean 80 grams and standard deviation 2 grams. The figure below is the Normal curve for this distribution of weights. Point A on this Normal curve corresponds to

A Normal distribution always

The distribution of the number of dill pickle spears in a gallon container is approximately Normal with mean 110 and standard deviation 10. How many dill pickle spears does a container hold if its standardized score is 0.4?

Suppose that the Blood Alcohol Content (BAC) of students who drink five beers varies from student to student according to a Normal distribution with mean 0.07 and standard deviation 0.01. The middle 95% of students who drink five beers have a BAC between

Suppose that the Blood Alcohol Content (BAC) of students who drink five beers varies from student to student according to a Normal distribution with mean 0.07 and standard deviation 0.01. Julie is administered a BAC test and told she scored 0.085. Her standard score is:

The standard deviation of a Normal density curve is the

The distribution of the number of dill pickle spears in a gallon container is approximately Normal with mean 110 and standard deviation 10. A container with a standardized score of 0.4 is at the 65.54th percentile. What percent of the containers held more pickle spears than this container?

Scores of adults aged 60 to 64 on a common IQ test are approximately Normally distributed with mean 90 and standard deviation 15. About what percent of the population of adults aged 60 to 64 have an IQ lower than 60?

Scores of adults aged 60 to 64 on a common IQ test are approximately Normally distributed with mean 90 and standard deviation 15. What range of IQ scores contains the central 95% of the population of adults aged 60 to 64?

The distribution of the number of dill pickle spears in a gallon container is approximately Normal with mean 110 and standard deviation 10. Approximately what percent of the containers had fewer than 105 spears?

Scores of adults aged 60 to 64 on a common IQ test are approximately Normally distributed with mean 90 and standard deviation 15. The third quartile of the distribution of IQ scores of adults aged 60 to 64 is between

Suppose that the distribution of heart rates for medium-sized dogs is Normally distributed with mean 115 beats per minute and standard deviation 18 beats per minute. Approximately what percentage of medium-sized dogs have a heart rate below 115 beats per minute?

The standard score for any observation is the

Where Do Data Come From

Samples, Good and Bad

What Do Samples Tell Us

Sample Surveys in the Real World

Experiments, Good and Bad

Experiments in the Real World

Data Ethics

Measuring

Do the Numbers Make Sense

Graphs, Good and Bad

Displaying Distributions With Graphs

Describing Relationships: Scatterplots and Correlation

Describing Relationships: Regression, Prediction, and Causation

The Consumer Price Index and Government Statistics

Thinking About Chance

Probability Models

Simulation

The House Edge: Expected Values

What Is a Confidence Interval

What Is a Test of Significance

Use and Abuse of Statistical Inference

Two-Way Tables and the Chi-Square Test

Filters