In: Statistics and Probability
1. Confidence intervals for mean differences provide researchers with
| a. | 
 the probability that a given result would occur in the null hypothesis is true.  | 
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| b. | 
 the degree to which a treatment changed a DV in standard deviation units.  | 
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| c. | 
 a range of plausible population values if a study were applied to an entire population.  | 
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| 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  | 
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| b. | 
 False  | 
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| c. | 
 it depends, this is true if the CI is for a population mean difference  | 
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| 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  | 
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| b. | 
 the one-tailed .05 t-value based on sample size and the SEM  | 
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| c. | 
 the difference between the LB and UB and the SEM  | 
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| 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  | 
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| b. | 
 28  | 
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| c. | 
 49  | 
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| 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  | 
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| b. | 
 2.0106  | 
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| c. | 
 .57  | 
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| 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  | 
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| b. | 
 30.0096  | 
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| c. | 
 28.57  | 
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| 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  | 
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| b. | 
 25.9904  | 
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| c. | 
 27.43  | 
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| d. | 
 27.836  | 
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