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Questions 1-2 refer to the following:
An experiment consists of tossing two 12-sided dice (the numbers 1-12 are printed on the sides of each dice).
Events and are:
B: Independent.
Which of the following are TRUE when we perform a hypothesis test on matched or paired samples?
B: Two measurements are drawn from the same pair of individuals or objects.
Questions 4 - 5 refer to the following:
118 students were asked what type of color their bedrooms were painted: light colors, dark colors or vibrant colors. The results were tabulated according to gender.
| Light colors | Dark colors | Vibrant colors | |
|---|---|---|---|
| Female | 20 | 22 | 28 |
| Male | 10 | 30 | 8 |
Find the probability that a randomly chosen student is male or has a bedroom painted with light colors.
B:
Find the probability that a randomly chosen student is male given the student’s bedroom is painted with dark colors.
D:
Questions 6 – 7 refer to the following:
We are interested in the number of times a teenager must be reminded to do his/her chores each week. A survey of 40 mothers was conducted. The table below shows the results of the survey.
| 0 | |
| 1 | |
| 2 | |
| 3 | |
| 4 | |
| 5 |
Find the probability that a teenager is reminded 2 times.
B:
Find the expected number of times a teenager is reminded to do his/her chores.
B: 2.78
Questions 8 – 9 refer to the following:
On any given day, approximately 37.5% of the cars parked in the De Anza parking structure are parked crookedly. (Survey done by Kathy Plum.) We randomly survey 22 cars. We are interested in the number of cars that are parked crookedly.
For every 22 cars, how many would you expect to be parked crookedly, on average?
A: 8.25
What is the probability that at least 10 of the 22 cars are parked crookedly.
C: 0.2870
Using a sample of 15 Stanford-Binet IQ scores, we wish to conduct a hypothesis test. Our claim is that the mean IQ score on the Stanford-Binet IQ test is more than 100. It is known that the standard deviation of all Stanford-Binet IQ scores is 15 points. The correct distribution to use for the hypothesis test is:
C: Normal
Questions 11 – 13 refer to the following:
De Anza College keeps statistics on the pass rate of students who enroll in math classes. In a sample of 1795 students enrolled in Math 1A (1st quarter calculus), 1428 passed the course. In a sample of 856 students enrolled in Math 1B (2nd quarter calculus), 662 passed. In general, are the pass rates of Math 1A and Math 1B statistically the same? Let A = the subscript for Math 1A and B = the subscript for Math 1B.
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