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Exam 8: Parameter Estimates

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Question 31

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With infinite degrees of freedom, the t distribution approaches normality.

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Question 32

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For the t ratio, other things being equal, having 1 degree of freedom rather than 12 degrees of freedom makes it

A) more likely to reject Ho
B) less likely to reject Ho
C) impossible to reject Ho
D) none of these

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Question 33

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The true standard deviation of the sample may be used directly to estimate the point value of the population mean.

With very small sample sizes, the estimated standard deviation of the population yields a slightly higher value than does the true standard deviation of the sample.

A random sample of 10 adult subjects was selected and tested on the Vocabulary sub-test of the Wechsler Adult Intelligence Scale (WAIS). Their scores were as follows: 12, 11, 10, 10, 10, 7, 6, 6, 5, 5. Test whether this sample could be representative of a population whose mean is known to be 10.00.

The fact that the point estimate of the population mean may be inaccurate (even with random sampling) is due largely to

Increasing the confidence-interval level from .95 to .

When a given difference is determined to be "significant", then

Other things being equal, the fewer the degrees of freedom, the easier it is to obtain a significant t ratio.

The relationship between the alpha level and the confidence level is such that

In order to calculate the estimated standard error of the mean, one need only know

A confidence interval of .99 predicts a narrower range of mean values than does an interval of .

The term "confidence" expresses the probability that one's estimate is

With a sample size of 30, the single-sample t ratio has 1 degree of freedom.

For the following set of sample scores, find the estimated standard error of the mean: 20, 14, 16, 18, 9, 16, 18, 16, 15, 14.

For the following set of sample scores, find the estimated standard error of the mean: 23, 20, 21, 24, 18, 22, 24, 22, 20, 20.

The average sentence (in months) for homicide is 227 (Gaines & Miller, 2003). A sample of inmates from a certain prison, all of whom having been convicted of homicide, was selected and their sentences calculated. The sentences follow: 200, 225, 197. 256, 300, 158, 220, 226, 230, 215, 237, 223, and 243. -Find the single sample t ratio.

The estimated standard error of the mean is

Other things being equal, the smaller the value of the estimated standard error of the mean, the narrower the confidence interval becomes.

The estimated standard error of the mean is equal to