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