Question
6. A researcher was attempting to calculate the average weight of children suffering from a certain disease. From patient records, the mean was computed as
6. A researcher was attempting to calculate the average weight of children suffering from a certain disease. From patient
records, the mean was computed as 65 pounds and the standard deviation (SD) as 6 pounds. Further investigation reveals
that the scale was off, and that all readings are 2 pounds too large. For example, a patient whose weight is really 70 pounds
was weighed as 72 pounds. Therefore, the correct mean and standard deviation are:
a) mean = 65 lbs, SD = 6 lbs
b) mean = 65 lbs, SD = 4 lbs
c) mean = 63 lbs, SD = 6 lbs
d) mean = 63 lbs, SD = 4 lbs
e) It's impossible to tell without the original dataset..
7.
The payoff (X) for a lottery game has the following probability distribution. What is the expected value of payoff, X?
X, payoff: -$5 , $0 , $10
Probability: 0.60, .30 , .1
a) -$2.00
b) $2.00
c) $5.00
d) $7.00
e) none of the above
8. For which of the following would it be preferable to have a negative z-score:
a) your overall course grade (in percentage)
b) the amount of time it takes you to commute to school
c) your monthly salary
d) none of the above
9. Let X represent a random variable whose distribution is normal, with a mean of 58 and a standard deviation of 7. Which of
the following is (are) equivalent to (>65)?
I.(<51)
II. 1(<65)
III. (65)
a) I only
b) II only
c) III only
d) II and III only
e) I, II, and III
10. A poll conducted by a newspaper reported that 56% of those surveyed own an iPhone. The number 56% is a _____________.
a) population
b) parameter
c) statistic
d) sample
e) None of the above
11. Chris is enrolled in a college algebra course and earned a score of 260 on a math placement test that was given on the first
day of class. The instructor looked at two distributions of scores - one is the distribution for all first year college students who
took the test, and the other is a distribution for students enrolled in this algebra class. Both are approximately normal and
have the same mean, but the distribution for the algebra class has a smaller standard deviation. A z-score is calculated for
Chris' test score in both distributions (all first-year college students and all algebra class students). Given that Chris's score is
well above the mean, which of the following would be true about these two z-scores?
a) The z-score based on the distribution for the algebra students would be higher.
b) The z-score based on the distribution for all first-year college students would be higher.
c) The two z-scores would be the same.
d) There's not enough information to answer this question
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