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Part 1: A worker at a department store cosmetics counter wants to see if people

ID: 3157926 • Letter: P

Question

Part 1:

A worker at a department store cosmetics counter wants to see if people prefer "Ocean Breeze" perfume or "Summer Breeze" perfume. She gets some shoppers to cooperate. Each person puts on a blindfold. A spray of each perfume is done near the person's nose, one at a time, so the person can smell them. The order of which perfume is sprayed first is determined at random by a coin flip for each person. After each person gets a chance to smell both perfumes, they indicate which they liked better, the first one or the second. After a number of people have participated, the worker compares the results. This is an example of:


   a) a matched pairs experiment.

    b) a double blind observational study.

    c) a single blind observational study.

    d) the placebo effect.

Part 2:

For the regression equation y = .24x + .67 with r = .83, which of the following is correct:

a) if x increases by 1, y will increase by .24

b) if y increases by 1, x will increase by .24

c) if x increases by 1, y will increase by .67

d)if y increases by 1, x will increase by .67

e)if x increases by 1, y will increase by .83

Part 3:

In New York state, high school students must pass a Regents exam in English to graduate. Typically, the test is taken the first time by juniors. A state education official is due to give a press conference tomorrow about the results of the test. But all of the results are not yet in. So she obtains a random sample of scores from around the state and finds a 95% confidence interval for the population mean score from the sample. The results of the sample are listed below. What is the correct confidence interval?

68, 78, 90, 82, 84, 76, 81, 93, 58, 60, 53, 88, 91, 84, 77, 70, 71, 83, 85, 90, 91, 67, 71, 79, 84, 81, 68, 98, 82, 79

a) 74.687 < mu < 82.78

75.949 < mu < 81.517

c) 76.498 < mu < 80.968

d) 76.747 < mu < 80.719

e) 77.685 < mu < 79.781

a) if x increases by 1, y will increase by .24

b) if y increases by 1, x will increase by .24

c) if x increases by 1, y will increase by .67

d)if y increases by 1, x will increase by .67

e)if x increases by 1, y will increase by .83

Part 3:

In New York state, high school students must pass a Regents exam in English to graduate. Typically, the test is taken the first time by juniors. A state education official is due to give a press conference tomorrow about the results of the test. But all of the results are not yet in. So she obtains a random sample of scores from around the state and finds a 95% confidence interval for the population mean score from the sample. The results of the sample are listed below. What is the correct confidence interval?

68, 78, 90, 82, 84, 76, 81, 93, 58, 60, 53, 88, 91, 84, 77, 70, 71, 83, 85, 90, 91, 67, 71, 79, 84, 81, 68, 98, 82, 79

a) 74.687 < mu < 82.78

b)

75.949 < mu < 81.517

c) 76.498 < mu < 80.968

d) 76.747 < mu < 80.719

e) 77.685 < mu < 79.781

Explanation / Answer

1.

Only the subjects are unaware which perfumes are sprayed, so it is

OPTION C: a single blind observational study. [ANSWER]

[A double blind is where both the subject and the experimenter do not know which perfumes are sprayed during the experiment.]

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2.

By definition of slope, as slope = 0.24,

a) if x increases by 1, y will increase by .24 [ANSWER]

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