Chapter 4 Review BAP StatisticsName:
A researcher suspected a relationship between people’s preferences in movies and preference in pizza. A random sample of 100 people produced the following two-way table:
Favorite Movie Meat Vegetarian
Jurrasic Park2510
Lethal Weapon (I)23 12
Gone With the Wind 27 13
______
1.Enter the overall (marginal) distributions for favorite movie and type of pizza on the table.
2.Compute (in percents) the conditional distributions of favorite movie among those who prefer the same type of pizza. Display the results in a segmented bar graph.
3.Briefly describe your finding in words.
4.What percent of people who like Gone With the Wind prefer vegetarian pizza?
5. What percent of people who eat meat pizza liked JurassicPark?
Age 18-30Age 31-50
Smoke Don’t SmokeSmokeDon’t Smoke
Men 20 50 1075
Women 1220 20 135
6. Compute the percentage of men and women who smoke by age group.
7.For each age group, which is greater, the percent of men or women who smoke?
8. Make a two-way table with gender vs. smoking status. Compute the percentage of men and women who smoke.
9. What do you notice?
10. What is the name of this phenomenon?
11. Why do you think it is happening in this situation?
Chapter 5 Review AP StatisticsName:
1. A church group interested in promoting volunteerism in a community chooses a SRS of 200 community addresses and sends members to visit these addresses during weekday working hours and inquire about the residents' attitude toward volunteer work. 60% of all respondents say that they would be willing to donate at least an hour a week to some volunteer organization. Bias is present in this sample design. Identify the type of bias involved and state whether you think the sample proportion obtained is higher or lower than the true population proportion.
2. A club contains 30 students and 10 faculty members. The club can send four students and two faculty members to a convention and decides to choose those who will go by random selection.
What is the name of the sampling process that will randomly select four students and two faculty members?
3. A corporation employs 2000 male and 500 female engineers. A stratified random sample of 200 male and 50 female engineers gives each engineer 1 chance in 10 to be chosen. This sample design gives every individual in the population the same chance to be chosen for the sample.
(a) Why is this NOT an SRS?
(b)Beginning with line 108 on the Random Number Table, reproduced below, select the first 5 female engineers to be in the sample. Be sure to explain how you are numbering the females and how you are using the table.
60940 72024 17868 24943 61790 90656 87964
18883 36009 19365 15412 39638 85453 46816
4. Is the right hand generally stronger than the left in right-handed people? You can crudely measure hand strength by placing a bathroom scale on a shelf with the end protruding and then squeezing the scale between the thumb below and the four fingers above. The reading of the scale shows the force exerted.
a.What is/are the explanatory variable(s)?
b.What is the response variable?
c.You have recruited 10 right-handed people to serve as subjects. Describe the design of a matched-pairs experiment to compare the strength of the right and left hands. Describe in detail how will you use a RNT to do the randomization required.
d.Use line 139 in the Random Digit Table to do the required randomization and report your results. (If you use your calculator to generate the numbers, please enter 987rand to provide a seed.)
5. Joey is interested in investigating so-called hot streaks in foul shooting among basketball players. He’s a fan of Carla, who has been making approximately 80% of her free throws. Specifically Joey wants to use simulation methods to determine Carla’s longest run of baskets on average, for 20 consecutive free throws.
a.Describe a correspondence between random digits from a table of random digits and outcomes.
b.What will constitute one repetition in this simulation?
c.Starting with line 101 in the random digit table, carry out 10 repetitions and record the longest run for each repetition. (If you use your calculator to generate numbers, type in 123rand to provide a seed.)
d. What is the mean run length for the ten repetitions?