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8. Even though the normal probability distribution deals with continuous variabl

ID: 3312153 • Letter: 8

Question

8. Even though the normal probability distribution deals with continuous variables, under certain circumstances, we can use it to approximate various discrete probability distributions. Such use of the normal probability distribution is permissible: a. in the case of binomial probabilities, when p>5 and also n> 5 b, in the case of Poisson probabilities, when > 100 c. in the case of hypergeometric d. in all of these e. in none of these probabilities, when np > 1 and also n/ > 1 9. A newspaper is trying to decide which comics to carry on a daily basis, which comics to carry only on Sunday, and which comics to discontinue. The editor invites the readers to "vote" for their preferences clipping a "ballot" from the editorial page and mailing it in. This is an example of a judgment sample. a. True b.False 10. Which of the following correctly describes a sample? a. b. c. It is a subset of the population of interest. Its summary measures are designated by Roman letters (such as x for sample mean). Its summary measures are called statistic. All of these. 11. If random samples of size n-36 are drawn from a nonnormal population with finite mean -75 and standard deviation 15, then the sampling distribution of the sample mean x is approximately normally distributed with mean -75 and standard deviation 2.5 a. True is taken from this population. The standard error of the sampling distribution of b. False 12. Consider a large population with a mean of I 50 and a standard deviation of 27. A random sample of size 36 sample mean is equal to: b. 4.50 c. 5.20 d. 5.56 e. 6.00 13. Random samples of size 36 each are taken from a large population whose mean is 120 and standard deviation is 39. The mean and standard error of the sampling distribution of sample mean, respectively, are: a. 120 and 39 b. 120 and 6.5 c. 120 and 5.5 d. 39 and 120 e. 6.5 and 120 14.Which of the sample sizes below will produce a sampling distribution of the mean that is approximately normal? a. 10 b. 20 c. 30

Explanation / Answer

8) Option-A

9) Option-A

10) Option-D

11) Option-A

12) standard error = 27/sqrt(36) = 27/6 = 4.5

Option-B is the correct answer.

13) mean = 120

Standard error = 39/sqrt (36) = 39/6 = 6.5

Option-B is the correct answer

14) Option-C

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