10) A random variable follows the Student’s t distribution



10) A random variable follows the Student’s t distribution. The probability that it will be positive is A. Less than 0.50 B. .05 C. 1 D. 0

Answer: A. Less than 0.50

11) Which of the following statements is consistent with the Central Limit Theorem? A. When we know s, the variation in the sample means will be equal to that of the population. B. If a population has µ and s, a sample from that population will be normally distributed if the sample size is large enough. C. When µ and s are known, the population will be approximately normally distributed. D. Means of samples of n=30 from an exponential distribution will be approximately normally distributed.

Answer: D. Means of samples of n=30 from an exponential distribution will be approximately normally distributed.

12) The expected value of the sampling distribution of the sample mean equals the populations mean A. When the population size N>30. B. When the population is symmetric. C. When the population is normally distributed. D. For all populations.

Answer: D. For all populations.

13) A pooled proportion estimate may be used to calculate the test statistic for a test of the equality of proportions when the A. samples are independently drawn from the populations. B. sample sizes are small. C. populations are normally distributed. D. null hypothesis states that the two population proportions are equal.

Answer: D. null hypothesis states that the two population proportions are equal.

14) If the paired differences are normal in a test of mean differences, the distribution used for testing is the A. student t distribution. B. chi-square. C. normal distribution. D. F distribution.

Answer:A. student t distribution.

15) When testing for differences between two means, the Behrens-Fisher problem arises when the sample populations are A. are non-normal and have equal variances. B. are normal with unequal variances. C. are non-normal and have unequal variances. D. normal with equal variances.

Answer: B. are normal with unequal variances.

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