Question

In: Statistics and Probability

1. Confidence intervals for mean differences provide researchers with a. the probability that a given result...

1. Confidence intervals for mean differences provide researchers with

a.

the probability that a given result would occur in the null hypothesis is true.

b.

the degree to which a treatment changed a DV in standard deviation units.

c.

a range of plausible population values if a study were applied to an entire population.

d.

the typical distance between sample means and a population mean.

2. Is the following statement true? Values between the LB and UB values of a 95% CI are all equally plausible values for a population parameter.

a.

True

b.

False

c.

it depends, this is true if the CI is for a population mean difference

d.

it depends, this is true if the CI is for a population mean

3. When computing a 95% CI for a population mean the ______ is used to compute the margin of error.

a.

two-tailed .05 t-value based on sample size and the SEM

b.

the one-tailed .05 t-value based on sample size and the SEM

c.

the difference between the LB and UB and the SEM

d.

the difference between the LB and UB.

4. M = 28; SD = 4; N = 49; you need a 95% CI to estimate a population mean. What is the point estimate?

a.

95

b.

28

c.

49

d.

.57

5. M = 28; SD = 4; N = 49; you need a 95% CI to estimate a population mean. What is the margin of error?

a.

1.149

b.

2.0106

c.

.57

d.

.164

6. M = 28; SD = 4; N = 49; you need a 95% CI to estimate a population mean. What is the UB?

a.

29.149

b.

30.0096

c.

28.57

d.

28.164

7. M = 28; SD = 4; N = 49; you need a 95% CI to estimate a population mean. What is the LB?

a.

26.85

b.

25.9904

c.

27.43

d.

27.836

Solutions

Expert Solution

1) Confidence intervals for mean differences provide researchers with

c.

a range of plausible population values if a study were applied to an entire population.

EXPLANATION: Confidence interval is a range of values for the population parameter based on sample.

2) Values between the LB and UB values of a 95% CI are all equally plausible values for a population parameter.

a.

True

EXPLANATION: Confidence interval is a range of values for the population parameter based on sample.

3) When computing a 95% CI for a population mean the_________is used to compute the margin of error.

a.

two-tailed .05 t-value based on sample size and the SEM

Explanation: MOE= tc*s/sqrt(n)

where tc is critical value based on sample size and s/sqrt(n) is standard error of mean.

4) Sample mean is point estimate of population mean therefore it is 49 OPTION C

5) MARGIN OF ERROR= tc*s/sqrt(n)

MOE= 2.01*4/sqrt(49)

= 2.01*4/7

= 1.149 OPTION A

6) UPPER BOUND= xbar+MOE= 28+1.149= 29.149 OPTION A

7) LOWER BOUND= xbar-MOE= 28-1.149= 26.85 OPTION A

  


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