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Key Concepts:
Terms in this set (23)
In a hypothesis test, the larger the value for the estimated standard error, the more likely it is that you will reject the null hypothesis.
false
Which of the following is a fundamental difference between the t statistic and a z-score?
The t statistic uses the sample variance in place of the population variance.
When the sample size is small, the t distribution ________.
is flatter and more spread out than a normal distribution
As the sample size increases, what happens to the critical values for t? (Assume that the alpha level and all other factors remain constant.)
the values decrease
A researcher reports a t statistic with df = 20. Based on this information, how many individuals were in the sample?
21
A sample of n = 4 individuals is obtained from a population with μ = 80. Which set of sample statistics would produce the most extreme value for t?
M = 88 and s 2 = 8
The size of the estimated standard error is ________.
nversely related to the sample size and directly related to the sample variance
If the sample variance increases, the estimated standard error will also increase.
true
A sample of n = 15 scores produces a t statistic of t = -2.96. If a researcher is using a regular two-tailed test with α = .01, what decision should be made?
fail to reject the null hypothesis
A sample is selected from a population with μ = 80 and a treatment is administered to the sample. If the sample variance is s 2 = 20, which set of sample characteristics is most likely to result in a significant effect?
M = 88 for a sample of n = 100
The estimated standard error, s M , provides a measure of
how much difference is reasonable to expect between the sample mean and the population mean.
A researcher reports a t statistic with df = 29. This t statistic was computed for a sample of n = 30 scores.
true
What t values define the critical region for a regular two-tailed test using a sample of n = 25 scores and an alpha level of .05?
t = ±2.064
In a hypothesis test, a t statistic near zero indicates that the sample mean is relatively close to the population mean that is specified in the null hypothesis.
true
A sample of n = 4 scores has SS = 48. What is the variance for this sample?
16
The distribution of t statistics tends to be flatter and more spread out than a normal distribution.
true
A sample of n = 9 scores has a mean of M = 40 and a variance of s 2 = 9. If this sample is being used to test a null hypothesis stating that μ = 43, then what is the t statistic for the sample?
t = -3.00
A sample of n = 25 scores has a mean of M = 46 and a variance of s 2 = 100. What is the estimated standard error for this sample?
2
The estimated standard error describes the variability for the set of scores and the sample variance describes how accurately the sample mean represents the population mean.
false
For a two-tailed hypothesis test with α = .05 using a sample of n = 20 scores, the critical values for t would be t = ±2.086.
false
A sample of n = 25 scores with a sample variance of s 2 = 100 would have an estimated standard error of 4 points.
bopppp
To compute a t statistic, you must use the sample variance (or standard deviation) to compute the estimated standard error for the sample mean.
boop
A sample of n = 4 scores has SS = 48. What is the estimated standard error for this sample?
beep
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