Suppose you are a television network executive interested in how a new pilot show, Statistics, will be received by the general U. S. television-viewing population. You hire several market research firms; each recruits a random sample of television viewers and asks them to watch the pilot of Statistics. Each firm then gathers 25 respondents and asks each of them, "On a scale of I to 10, where I means you'll never watch Statistics again, and 10 means you expect to never miss an episode of Statistics, how do you rate Statistics?"

Assume that if you asked every member of the general U. S. television-viewing population about the pilot, the mean response would be 5.0 with a standard deviation of 1.7.

Each market research firm reports the mean rating of its random sample. Assume each market research firm recruits a different sample, and that you hired exactly enough market research firms such that all possible samples of 9 U. S. television viewers were sampled and their mean ratings reported. Which of the following are true about the sampling distribution of the mean ratings reported to you by the market research firms

a. The central limit theorem does not provide justification to assume that the shape of this particular distribution of mean ratings is normal.
b. The mean of the distribution of mean ratings is 4.0.
c. The standard deviation of the distribution of mean ratings is 0.07.
d. The standard error of the mean ratings is 1.7.

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

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what is the model?

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its a i did it myself

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