AP Stat Final Exam Questions With All
Complete Solutions.
The lengths of individual shellfish in a population of 10,000 shellfish are approx. normally
distributed with mean 10 centimeters and standard deviation 0.2 centimeters. Which of the
following is the shortest interval that contains approx. 4,000 shellfish lengths? - Answer 9.895
cm to 10.105 cm
At a college the scores on the chemistry final exam are approx normally distributed, with a
mean of 75 and a standard deviation of 12. The scores on the calc final are also approx normally
distributed with a mean of 80 and a standard deviation of 8. A student scored 81 on the chem
final and 84 on the calc final. Relative to the students in each class, in which subject did this
student do better> - Answer The student did equally well in each course
A high school statistics class wants to conduct a survey to determine what percentage of
students in the school would be willing to pay a fee for participating in after-school activities.
Twenty students are randomly selected from each of the freshman, sophomore, junior, and
senior classes to complete the survey. This plan is an example of which type of sampling? -
Answer Stratified random
One hundred people were interviewed and classified according to their attitude toward small
cars and their personality type. Which of the following is true? - Answer Of the three attitude
groups, the group with the neutral attitude has the highest proportion of type B personality
types.
Which of the following statements is true for two events, each with a probability greater than
0? - Answer If the events are mutually exclusive, they cannot be independent.
To check the effect of cold temp. on the elasticity of two brands of rubber bands, one box of
Brand A and one box of Brand B rubber bands are tested. Ten bands from the Brand A box are
placed in a freezer for two hours and ten bands from the Brand B box are kept at room temp.
The amount of stretch before breakage is measured on each rubber band, and the mean of the
cold bands is compared to the mean for the others. Is this a good experimental design? -
Answer No, because temperature is confounded by brand
Which of the following is a key distinction between well designed experiments and
observational studies? - Answer An experiment can show a direct cause and effect
relationship, wheras an observational study cannot.
, The heights of adult women are approx normally distributed about a mean of 65 inches with a
SD of 2 in. If Rachel is the 99th percentile in height for adult women, then her height in inches is
closet to? - Answer 70
A researcher wishes to test a new drug developed to treat hypertension (high blood pressure). A
group of 40 hypertensive men and 60 hypertensive women is to be used. The experimenter
randomly assigns 20 of the men and 30 of the women to the placebo and assigns the rest to the
treatment. The major reason for separate assignment for men and women is that? - Answer
The new drug affect men and women differently
Suppose that 2% of a clinic's patients are known to have cancer. A blood test is developed that is
positive in 98% of patients with cancer but is also positive in 3% of patients who do not have
cancer. If a person who is chosen at random from the clinic's patients is given the test and it
comes out positive, what is the probability that the person actually has cancer? - Answer .4
A candy company produces individually wrapped candies. The quality control manager for the
company believes that the weight of the candies is approximately normally distributed with the
mean 720 milligrams (mg). If the manager's belief is correct, which of the following intervals of
weights will contain the largest proportion of the candies in the distribution of weights? -
Answer 700 mg to 740 mg
A random sample of 25 households from the Mountainview school district was surveyed. In this
survey, data were collected on the age of the youngest child living in each household. The
histogram below displays the data collected in the survey. In which of the following intervals is
the median of these data located? - Answer 8 years old to less than 10 years old
The distribution of heights of 6 year old girls is approximately normally distributed what's the
mean of 46.0 inches And a standard deviation of 2.7 inches. Aliyaah is 6 years old, and her
height is 0.96 standard deviation above the mean. Her friend Jayne is also 6 years old and is the
93rd percentile of the height distribution. At what percentile is Aliyaah's height, and how does
her height compared to Jayne's height? - Answer Aliyaah's height is at the 83rd percentile of
the distribution, and she is shorter than Jayne.
Lauren is enrolled in a very large College Calculus class. On the first exam, the class mean was
75 in the standard deviation was 10. On the second exam, the class mean was 70 and the
standard deviation was 15. Lauren scored 85 on both exams. Assuming the scores on each exam
were approximately normally distributed, and which exam did Lauren score better relative to
the rest of the class? - Answer She scored about equally well on both exams.
Complete Solutions.
The lengths of individual shellfish in a population of 10,000 shellfish are approx. normally
distributed with mean 10 centimeters and standard deviation 0.2 centimeters. Which of the
following is the shortest interval that contains approx. 4,000 shellfish lengths? - Answer 9.895
cm to 10.105 cm
At a college the scores on the chemistry final exam are approx normally distributed, with a
mean of 75 and a standard deviation of 12. The scores on the calc final are also approx normally
distributed with a mean of 80 and a standard deviation of 8. A student scored 81 on the chem
final and 84 on the calc final. Relative to the students in each class, in which subject did this
student do better> - Answer The student did equally well in each course
A high school statistics class wants to conduct a survey to determine what percentage of
students in the school would be willing to pay a fee for participating in after-school activities.
Twenty students are randomly selected from each of the freshman, sophomore, junior, and
senior classes to complete the survey. This plan is an example of which type of sampling? -
Answer Stratified random
One hundred people were interviewed and classified according to their attitude toward small
cars and their personality type. Which of the following is true? - Answer Of the three attitude
groups, the group with the neutral attitude has the highest proportion of type B personality
types.
Which of the following statements is true for two events, each with a probability greater than
0? - Answer If the events are mutually exclusive, they cannot be independent.
To check the effect of cold temp. on the elasticity of two brands of rubber bands, one box of
Brand A and one box of Brand B rubber bands are tested. Ten bands from the Brand A box are
placed in a freezer for two hours and ten bands from the Brand B box are kept at room temp.
The amount of stretch before breakage is measured on each rubber band, and the mean of the
cold bands is compared to the mean for the others. Is this a good experimental design? -
Answer No, because temperature is confounded by brand
Which of the following is a key distinction between well designed experiments and
observational studies? - Answer An experiment can show a direct cause and effect
relationship, wheras an observational study cannot.
, The heights of adult women are approx normally distributed about a mean of 65 inches with a
SD of 2 in. If Rachel is the 99th percentile in height for adult women, then her height in inches is
closet to? - Answer 70
A researcher wishes to test a new drug developed to treat hypertension (high blood pressure). A
group of 40 hypertensive men and 60 hypertensive women is to be used. The experimenter
randomly assigns 20 of the men and 30 of the women to the placebo and assigns the rest to the
treatment. The major reason for separate assignment for men and women is that? - Answer
The new drug affect men and women differently
Suppose that 2% of a clinic's patients are known to have cancer. A blood test is developed that is
positive in 98% of patients with cancer but is also positive in 3% of patients who do not have
cancer. If a person who is chosen at random from the clinic's patients is given the test and it
comes out positive, what is the probability that the person actually has cancer? - Answer .4
A candy company produces individually wrapped candies. The quality control manager for the
company believes that the weight of the candies is approximately normally distributed with the
mean 720 milligrams (mg). If the manager's belief is correct, which of the following intervals of
weights will contain the largest proportion of the candies in the distribution of weights? -
Answer 700 mg to 740 mg
A random sample of 25 households from the Mountainview school district was surveyed. In this
survey, data were collected on the age of the youngest child living in each household. The
histogram below displays the data collected in the survey. In which of the following intervals is
the median of these data located? - Answer 8 years old to less than 10 years old
The distribution of heights of 6 year old girls is approximately normally distributed what's the
mean of 46.0 inches And a standard deviation of 2.7 inches. Aliyaah is 6 years old, and her
height is 0.96 standard deviation above the mean. Her friend Jayne is also 6 years old and is the
93rd percentile of the height distribution. At what percentile is Aliyaah's height, and how does
her height compared to Jayne's height? - Answer Aliyaah's height is at the 83rd percentile of
the distribution, and she is shorter than Jayne.
Lauren is enrolled in a very large College Calculus class. On the first exam, the class mean was
75 in the standard deviation was 10. On the second exam, the class mean was 70 and the
standard deviation was 15. Lauren scored 85 on both exams. Assuming the scores on each exam
were approximately normally distributed, and which exam did Lauren score better relative to
the rest of the class? - Answer She scored about equally well on both exams.
