2. Suppose the random variable X is drawn from a normal population with mean fifty and standard deviation two. a. For samples of size sixty, what is the sampling distribution of the sample mean? b. Is the answer to part a dependent upon the sample size being at least a specific size? c. Is the answer to part a dependent upon knowing the distribution of X?

2. Suppose the random variable X is drawn from a normal population with mean fifty and standard deviation two. a. For samples of size sixty, what is the sampling distribution of the sample mean? b. Is the answer to part a dependent upon the sample size being at least a specific size? c. Is the answer to part a dependent upon knowing the distribution of X?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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13. A sample consists of the following n = 5 scores: 11 1 3 7 3 a. Compute the mean and standard deviation in the sample b. Find the z-scores for each score in the sample
1. Scores from a questionnaire measuring social anxiety form a normal distribution with a mean of m = 50 and a standard deviation of s = 10. What is the probability of obtaining a sample mean greater than X(sample mean) = 53, for a random sample of n = 4 people? a. .2743 b. .2776 c. .2578 d. .2611
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9.13 Given a sample size of 36, how large does the population standard deviation have to be in order for the standard error to be A. 1? B. 2? C. 5? D. 100?
For a right sided, one-tailed test, the test statistic z is calculated to be zero. The p-value corresponding to this calculated test statistic is, a. 0.50 b. zero c. -0.50 d. 1.00
28.
. A division-wide aptitude test in Mathematics was conducted to 1000 pupils. The mean of the test is 58 and the standard deviation is 12. The scores also approximate the normal population.a. What is [the minimum score to belong to the upper 10% of the group?
III
what assumptions are required for a z-score hypthesis test? A. all of the above B. The score in the sample are independant observations C. the scores are obtained by random sampling D. the distribution of sample means is normal
Which of the following statements about sampling distributions is/are TRUE? A. The mean of the sampling distribution of the sample means is equal to the population mean. B. When sampling is done with replacement, the standard deviation of the sampling distribution of the sample means is the population standard deviation divided by the square root of the sample size. O Both A and B O A only ONeither A nor B OB only