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The mean anxiety score in elementary school children is 14.55. A researcher wants to know if children of anxious parents are more anxious than the average child. Below are the anxiety scores from 10 children of anxious parents. 13         14         14         15         15         15         16         17         17         18   a. Calculate the t value. b. Write a sentence to answer the researcher's question.

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a. t = 1.18
b. Based on this ...

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If we have calculated a confidence interval and we find that it does NOT include the population mean,


A) we must have done something wrong in collecting data.
B) our interval was too wide.
C) we made a mistake in calculation.
D) this will happen a fixed percentage of the time.

E) C) and D)
F) All of the above

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With a one-sample t test, the value of t is


A) always positive.
B) positive if the sample mean is too small.
C) negative whenever the sample standard deviation is negative.
D) positive if the sample mean is larger than the hypothesized population mean.

E) C) and D)
F) A) and B)

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When we take a single sample mean as an estimate of the value of a population mean, we have


A) a point estimate.
B) an interval estimate.
C) a population estimate.
D) a parameter.

E) B) and D)
F) B) and C)

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Which of the following statements is true?


A) Confidence intervals are the boundaries of confidence limits.
B) Confidence intervals always enclose the population mean.
C) Sample size does not affect the calculation of t .
D) Confidence limits are the boundaries of confidence intervals.

E) A) and B)
F) All of the above

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Given  m = 100, Given  m = 100,     s = 27, and N = 30:  a. Calculate t.  b. Write a sentence interpreting the value of t as a two-tailed test.  c. Write a sentence interpreting the value of t as a one-tailed test. s = 27, and N = 30: a. Calculate t. b. Write a sentence interpreting the value of t as a two-tailed test. c. Write a sentence interpreting the value of t as a one-tailed test.

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a. t = -1.25
b. The sample me...

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When comparing the mean of a sample of 30 people to the population mean, the degrees of freedom are 31.

A) True
B) False

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A normal distribution is one in which all outcomes are equally likely.

A) True
B) False

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The two-tailed p value that a statistical program produces refers to


A) the value of t .
B) the probability of getting at least that large a value of t if the null hypothesis is false.
C) the probability of getting at least that large an absolute value of t if the null hypothesis is true.
D) the probability that the null hypothesis is true.

E) B) and D)
F) None of the above

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All of the following increase the magnitude of the t statistic and/or the likelihood of rejecting H0 EXCEPT


A) a greater difference between the sample mean and the population mean.
B) an increase in sample size.
C) a decrease in sample variance.
D) a smaller significance level ( a ) .

E) All of the above
F) A) and B)

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With large samples and a small population variance, the sample means usually


A) will be close to the population mean.
B) will slightly underestimate the population mean.
C) will slightly overestimate the population mean.
D) will equal the population mean.

E) A) and C)
F) A) and B)

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A one-sample t test was used to see if a college ski team skied faster than the population of skiers at a popular ski resort. The resulting statistic was t .05(23) = -7.13, p


A) The sample mean of the college skiers was significantly different from the population mean.
B) The sample mean of the college skiers was not significantly different from the population mean.
C) The null hypothesis was true.
D) The sample mean was greater than the population mean.

E) A) and C)
F) B) and C)

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A sampling distribution of the mean is typically the mean of one sample.

A) True
B) False

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The importance of the underlying assumption of normality behind a one-sample means test


A) depends on how fussy you are.
B) depends on the sample size.
C) depends on whether you are solving for t or z .
D) doesn't depend on anything.

E) All of the above
F) None of the above

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Calculate the 95% confidence interval for μ given Calculate the 95% confidence interval for μ given     s = 25, and N = 101. s = 25, and N = 101.

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p (95.4 ≤ ...

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If the standard deviation of the population is 15 and we repeatedly draw samples of 25 observations each, the resulting sample means will have a standard error of


A) 2
B) 3
C) 15
D) 0.60

E) A) and B)
F) A) and C)

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Assuming a two-tailed one sample test is being used, what are the critical values for t given the following sample sizes: a. N = 10 b. N = 15 c. N = 30

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a. 2.262
...

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The sampling distribution of the mean is


A) the population mean.
B) the distribution of the population mean over many populations.
C) the distribution of sample means over repeated samples.
D) the mean of the distribution of the sample.

E) B) and D)
F) A) and B)

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If we compute 95% confidence limits on the mean as 112.5 - 118.4, we can conclude that


A) the probability is .95 that the sample mean lies between 112.5 and 118.4.
B) the probability is .05 that the population mean lies between 112.5 and 118.4.
C) an interval computed in this way has a probability of .95 of bracketing the population mean.
D) the population mean is not less than 112.5.

E) C) and D)
F) None of the above

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When would you NOT use a standardized measure of effect size?


A) when the difference in means is itself meaningful
B) when it is clearer to the reader to talk about a percentage
C) when some other measure conveys more useful information
D) all of the above

E) B) and D)
F) A) and B)

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