Q. 1 In the population, the average score on a test of self-esteem is 50 (σ= 5). You select a random sample of 25 students who score a mean of 53. a. Shine claims that these students don’t have very high self-esteem, because they are only 3 points above the population mean. Why can’t she make this claim merely by looking at the X? . b. What should she do? . c. What is the z-score for this sample? . d. What conclusion do you draw about your sample? .

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How often do you go out dancing? This question was asked by a professional survey group on behalf of the National Arts Survey. A random sample of n1 = 95 single men showed that r1 = 23 went out dancing occasionally. Another random sample of n2 = 92 single women showed that r2 = 19 went out dancing occasionally. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. (a) Do these data indicate that the proportion of single men who go out dancing occasionally is higher than the proportion of single women who do so? Use a 5% level of significance. List the assumptions you made in solving this problem. Do you think these assumptions are realistic? What is the level of significance? What is the value of the sample test statistic? (Round your answer to three decimal places.)   (b) Compute a 90% confidence…

Suppose a random sample of n = 350 teenagers 13 to 17 years of age was asked if they use social media. Of those surveyed, 280 stated that they do use social media. Find the sample proportion of teenagers 13 to 17 years of age who use social media. The sample proportion is p= (Round to three decimal places as needed.) ...

A sample of n = 6 scores has a mean of M = 5. One person with a score of X= 12 is added to the distribution. What is the mean for the new set of scores? O M= 8

If you recieved the data set {9, 16, 10, 20, X} and you knew the median was 15, what could you say about X? O 10 < X < 18 OX = 14 O11 < X < 17 OX = 15 ONone of the above.