Question30

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Assuming the mean and standard deviation of a sample remains the same and only the sample size changes. Which of these sample sizes produce the narrowest confidence interval?

a.1

b.40

c.100

d.450

Question31

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Suppose that you want to test a null hypothesis that states that Math and Chemistry majors do not display any difference in their grades in college-level English literature courses. If you reject that hypothesis when it is actually true, which type of error are you making?

a.Type I error

b.Type II error

c.Standard error

d.Sampling error

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Question32

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A consumer agency wants to test an advertising claim that a particular brand of light bulb will last for 1200 hours. They test a sample of 40 bulbs and find the mean time the bulbs last before burning out to be 1140 hours. What is the appropriate hypothesis test to conduct?

a.0:=1140,:1200H0:=1140,Ha:1200

b.0:=1140,:>1140H0:=1140,Ha:>1140

c.0:=1200,:=1140H0:=1200,Ha:=1140

d.0:=1200,:<1200H0:=1200,Ha:<1200

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Question33

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A survey is conducted to determine whether the public prefers Coke or Pepsi. In a survey of 500 people, 262 say they prefer Coke. Conduct an appropriate hypothesis test. What is the p-value?

a.0.141

b.0.142

c.0.283

d.0.859

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Question34

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Which of the following values represents the highest correlation?

a.-0.8

b.-0.25

c.0.1

d.0.6

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Question35

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In a regression model, one of the assumptions is of Homoscedasticity. Which of the following best describes homoscedasticity?

a.The X and Y variables are linearly related

b.The errors of prediction are distributed normally

c.The X and Y variables are uniformly distributed

d.The error terms have the same variance around the regression line

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Consider the pairs of observations listed below. Which of the following values represents the standard error for the slope?

(1,6), (3,5), (4,14), (5,12), (7,12)

a.0.748

b.3.34

c.2.24

d.4.02

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Question37

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Consider the pairs of observations listed below. Conduct a hypothesis test on the slope to determine if it is different from zero. What are the test statistic and the degrees of freedom?

(1,6), (3,5), (4,14), (5,12), (7,12)

a.t=1.44, degrees of freedom = 3

b.t=1.67, degrees of freedom = 3

c.t=1.67, degrees of freedom = 4

d.t=3.34, degrees of freedom = 5

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Question38

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What is the 95% confidence interval for the slope of this dataset?

X	Y
12	100
13	110
14	120
15	115
16	145
17	189
18	167

a.Upper = 12.56, lower = 5.87

b.Upper = 15.78, lower = 6.21

c.Upper = 20.32, lower = 7.11

d.Upper = 21.32, lower = 8.23

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Which of the following statements is true?

a.A correlation coefficient of 1 means that X and Y are not related

b.A correlation coefficient of 0.5994 means that X and Y are strongly positively related

c.A correlation coefficient of -0.8732 means that X and Y are strongly positively related

d.A correlation coefficient of -0.00023 means that X and Y are strongly negatively related