Determine whether the samples are independent or consist of


1. Compute the test statistic used to test the null hypothesis that p1=p2

. In a vote on the Clean Water bill, 41% of the 200 Democrats voted for the bill while 40% of the 230 republicans voted on the bill. Select one:

a. 0.127b. 0.180c. 0.211d. 0.233

2. Determine whether the samples are independent or consist of matched pairs (dependent samples).  The effectiveness of a new headache medicine is tested by measuring the amount of time before the headache is cured for patients who use the medicine and another group of patients who use a placebo drug. Select one:

a. Matched pairsb. Independent Samples

3. The two data sets are dependent.  Find d
 to the nearest tenth.

x 12.9 11.3 10.7 12.9 12.9
y 12.6 12.6 10.0 10.7 12.3

Select one:

a. 0.5b. 0.3c. 0.7d. 0.6

4. Assume that you want to test the claim that the paired data come from a population for which the mean difference is ud=0
.  Compute the value of the test statistic.

x 11 5 13 5 9
y 8 7 9 6 4

Select one:

a. t = 0.578b. t = 2.890c. t = 1.292d. t = 0.415

5. Given the linear correlation coefficient r and the sample size n, determine the critical value of r and use your finding to state whether or not the given rrepresents a significant linear correlation. Use a significance level of 0.05.

r = -0.568, n = 25  Select one:

a. Critical values: r = ±0.487, no significant linear correlationb. Critical values: r = ±0.396, significant linear correlationc. Critical values: r = ±0.487, significant linear correlationd. Critical values: r = ±0.396, no significant linear correlation

6. The regression equation relating to attitude rating(x) and job performance rating (y) for the employees of a company is y^ = 11.7 + 1.02x. Ten pairs of data were used to obtain the equation.  The same data yield r = 0.863 and y=80.1
.  What is the best predicted job performance rating for a person whose attitude rating is 70? Select one:

a. 83.1b. 81.9c. 12.6d. 80.1

 

 

7. The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, μ, of 48°F, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect. Select one:

a. H0: μ ≤ 48°
H1: μ > 48°b. H0: μ ≠ 48°
H1: μ = 48°c. H0: μ ≥ 48°
H1: μ < 48°d. H0: μ = 48°
H1: μ ≠ 48°

8. Use the given information to find the coefficient of determination.  Find the coefficient of determination, given that the value of the linear correlation coefficient, r is -0.721. Select one:

a. 0.279b. 0.520c. 0.721d. 0.480

9. Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.

x

1

3

13

7

9

y

143

116

100

98

90

Select one:

a. y^ = 132.79 - 3.54 xb. y^ = 140.4 - 6.2xc. y^ = -150.7 + 6.8xd. y^ = 150.7 - 6.8x

10. A researcher wishes to test whether the proportion of college students who smoke is the same in four different colleges. She randomly selects 100 students from each college and records the number that smoke. The results are shown below.

 

College A

College B

College C

College D

 

Smoke

17

26

11

34

 

Don't smoke

83

74

89

66

Use a 0.01 significance level to test the claim that the proportion of students smoking is the same at all four colleges if the test statistic: χ2 = 17.832. Select one:

a. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the proportion of students smoking is the same at all four colleges.b. Do not reject the null hypothesis. There is insufficient evidence to warrant rejection of the claim that the proportion of students smoking is the same at all four colleges.c. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the proportion of students smoking is the same at all four colleges.d. Do not reject the null hypothesis. There is in sufficient evidence to warrant rejection of the claim that the proportion of students smoking is the same at all four colleges.

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Applied Statistics: Determine whether the samples are independent or consist of
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