AP Statistics Frappy Packet for End-Of-Year Graded Homework Assignments
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This Frappy Packet Belongs to _______________________________________.
Unfortunate Remarks
A random sample of 415 potential voters was interviewed 3 weeks before the start of a state-wide campaign
for governor; 223 of the 415 said they favored the new candidate over the incumbent. However, the new
candidate made several unfortunate remarks one week before the election. Subsequently, a new random
sample of 630 potential voters showed that 317 voters favored the new candidate. Do these data support the
conclusion that there was a decrease in voter support for the new candidate after the unfortunate remarks
were made? Give appropriate statistical evidence to support your answer. Also include a confidence interval
and explain how it supports your answer.
AP Statistics Frappy Packet for End-Of-Year Graded Homework Assignments
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Vitamin C
A study was conducted to determine if taking vitamin C reduces the occurrence of the flu. The study was
conducted using 808 student volunteers who did not take a flu shot. The subjects were randomly assigned to
one of two groups: a treatment group who received 1,000 milligrams of vitamin C daily or a control group who
received a placebo flavored to taste like the vitamin C treatment. All participants were monitored to ensure
that they adhered to their assigned treatment on a daily
basis throughout the period of the study. At the end of the
flu season, each subject’s medical record was reviewed by
a physician to determine whether he or she had
contracted the flu during the period of the study. The
physician did not know which treatment each subject
received. The results of the study are shown in the table to
the right.
Based on this study, a health expert claims that there is evidence to suggest that vitamin C reduces the
occurrence of the flu in the population of students who would volunteer for such a study. Do these data
support this conclusion? Give appropriate statistical evidence to support your answer. Also include a
confidence interval and explain how it supports your answer.
AP Statistics Frappy Packet for End-Of-Year Graded Homework Assignments
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Cereal Boxes
Some boxes of a certain brand of breakfast cereal include a voucher for a free video rental inside the box. The
company that makes the cereal claims that a voucher can be found in 20 percent of the boxes. However,
based on their experiences eating this cereal at home, a group of students believes that the proportion of
boxes with vouchers is less than 0.2. This group of students purchased 65 boxes of the cereal to investigate
the company’s claim. The students found a total of 11 vouchers for free video rentals in the 65 boxes. Suppose
it is reasonable to assume that the 65 boxes purchased by the students are a random sample of all boxes of
this cereal. Based on this sample, is there support for the students’ belief that the proportion of boxes with
vouchers is less than 0.2? Provide statistical evidence to support your answer. Also include a confidence
interval and explain how it supports your answer.
AP Statistics Frappy Packet for End-Of-Year Graded Homework Assignments
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Grad Students
A large university provides housing for 10 percent of its graduate students to live on campus. The university’s
housing office thinks that the percentage of graduate students looking for housing on campus may be more
than 10 percent. The housing office decides to survey a random sample of graduate students, and 68 of the
481 respondents say that they are looking for housing on campus. On the basis of the survey data, is there
enough evidence for housing office to consider increasing the amount of housing on campus available to
graduate students? Give appropriate evidence to support your recommendation. Also include a confidence
interval and explain how it supports your answer.
AP Statistics Frappy Packet for End-Of-Year Graded Homework Assignments
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Generics
A growing number of employers are trying to hold down the costs that they pay for medical insurance for their
employees. As part of this effort, many medical insurance companies are now requiring clients to use generic
brand medicines when filling prescriptions. An independent consumer advocacy group wanted to determine if
there was a difference, in milligrams, in the amount of active ingredient between a certain “name” brand drug
and its generic counterpart. Pharmacies may store drugs under different conditions. Therefore, the consumer
group randomly selected ten different pharmacies in a large city and filled two prescriptions at each of these
pharmacies, one for the “name” brand and the other for the generic brand of the drug. The consumer group’s
laboratory then tested a randomly selected pill from each prescription to determine the amount of active
ingredient in the pill. The results are given in the following table.
Based on these results, what should the consumer group’s laboratory report about the difference in the active
ingredient in the two brands of pills? Give appropriate statistical evidence to support your response. Also
include a confidence interval and explain how it supports your answer.
AP Statistics Frappy Packet for End-Of-Year Graded Homework Assignments
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Tomato Plants
A researcher believes that treating seeds with certain additives before planting can enhance the growth of plants. An
experiment to investigate this is conducted in a greenhouse. From a large number of Roma tomato seeds, 24 seeds are
randomly chosen and 2 are assigned to each of 12 containers. One of the 2 seeds is randomly selected and treated with
the additive. The other seeds serves as a control. Both seeds are then planted in the same container. The growth, in
centimeters, of each of the 24 plants is measured after 30 days. These data were used to generate the partial computer
output shown below. Graphical displays indicate that the assumption of normality is not unreasonable. Is there
sufficient evidence to conclude that there is a significant mean difference in growth of the plants from untreated seeds
and the plants from treated seeds? Give appropriate statistical evidence to support your response. Also include a
confidence interval and explain how it supports your answer.
AP Statistics Frappy Packet for End-Of-Year Graded Homework Assignments
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Wait Time
Patients with heart-attack symptoms arrive at and emergency room either by ambulance or self-transportation provided
by themselves, family, or friends. When a patient arrives at the emergency room, the time of arrival is recorded. The
time when the patient’s diagnostic treatment begins is also recorded. An administrator of a large hospital wanted to
determine whether the mean wait time (time between arrival and diagnostic treatment) for patients with heart-attack
symptoms differs according to the mode of transportation.
A random sample of 150 patients with heart-attack symptoms who had reported to the emergency room was selected.
For each patient, the mode of transportation and wait time were recorded. Summary statistics for each mode of
transportation are show in the table below.
Based on this set of information, is there evidence to support that the average wait time for people who transport
themselves to the hospital is different than the average wait time for patients who arrive via ambulance? Give
appropriate statistical evidence to support your response. Also include a confidence interval and explain how it supports
your answer. Also include a confidence interval and explain how it supports your answer.
AP Statistics Frappy Packet for End-Of-Year Graded Homework Assignments
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Cholesterol #1
A serum cholesterol level above 250 milligrams per deciliter (mg/dl) of blood is a risk factor for cardiovascular disease in
humans. At a medical center in St. Louis, a study to test the effectiveness of a new cholesterol lowering drug was
conducted. One hundred people with cholesterol levels between 250 mg/dl and 300 mg/dl were available for this study.
Fifty people were assigned at random to each of two treatment groups. One group received the standard cholesterollowering medication and the other group received the new drug.
After taking the drug for three weeks, the 50 subjects who received the standard treatment had a mean decrease in
cholesterol level of 10 mg/dl with a standard deviation of 8 mg/dl, and the 50 subjects who received the new drug had a
mean decrease of 18 mg/dl with a standard deviation of 12 mg/dl. Does the new drug appear to be more effective than
the standard treatment in lowering mean cholesterol level? Give appropriate statistical evidence to support your
conclusion. Also include a confidence interval and explain how it supports your answer.
AP Statistics Frappy Packet for End-Of-Year Graded Homework Assignments
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Cholesterol #2
A pharmaceutical company has developed a new drug to reduce cholesterol. A regulatory agency will recommend the
new drug for use if there is convincing evidence that the mean reduction in cholesterol level after one month of use is
more than 20 milligrams/deciliter (mg/dl), because a mean reduction of this magnitude would be greater than the mean
reduction for the current most widely used drug.
The pharmaceutical company collected data by giving the new drug to a random sample of 50 people from the
population of people with high cholesterol. The reduction in cholesterol level after one month of use was recorded for
each individual in the sample, resulting in a sample mean reduction and standard deviation of 24 mg/dl and 15 mg/dl,
respectively.
Does the new drug have enough convincing evidence that the mean reduction in cholesterol level after one month of
use is more than 20 mg/dl? Give appropriate statistical evidence to support your conclusion. Also include a confidence
interval and explain how it supports your answer.
AP Statistics Frappy Packet for End-Of-Year Graded Homework Assignments
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Lost Hikers
The Colorado Rocky Mountain Rescue Service wishes to study the behavior of lost hikers. If more were known about the
direction in which lost hikers tend to walk, then more effective search strategies could be devised. Two hundred hikers
selected at random from those applying for hiking permits are asked whether they would head uphill, downhill, or
remain in the same place if they became lost while hiking. Each hikers in the sample was also classified according to
whether he or she was an experienced or novice hiker. The resulting data are summarized in the following table.
Do these data provide convincing evidence of an association between the level of hiking expertise and the direction the
hiker would head if lost? Give appropriate statistical evidence to support your conclusion.
AP Statistics Frappy Packet for End-Of-Year Graded Homework Assignments
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Presidential Affairs
A random sample of 200 students was selected from a large college in the United States. Each selected student was
asked to give his or her opinion about the following statement. “The most important quality of a person who aspires to
be the President of the United States is a knowledge of foreign affairs.” Each response was recorded in one of five
categories. The gender of each selected student was noted. The data are summarized in the table below.
Is there sufficient evidence to indicate that the response is dependent on gender? Provide statistical evidence to support
your conclusion.
AP Statistics Frappy Packet for End-Of-Year Graded Homework Assignments
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Moose (Chi-Squared Goodness of Fit)
A study was conducted to determine where moose are found in a region containing a large burned area. A map of the
study area was partitioned into the following four habitat types.
(1) Inside the burned area, not near the edge of the burned area,
(2) Inside the burned area, near the edge,
(3) Outside the burned area, near the edge, and
(4) Outside the burned area, not near the edge.
The figure to the right shows these four habitat types.
The proportion of total acreage in each of the habitat types was determined for the study area. Using an aerial survey,
moose locations were observed and classified into one of the four habitat types. The results are given in the table below.
The researchers who are conducting the study expect the number of moose observed in a habitat type to be
proportional to the amount of acreage of that type of habitat. Are the data consistent with this expectation? Conduct an
appropriate statistical test to support your conclusion. Assume the conditions for inference are met.