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Chapter 2: Q 38. (page 109)
If every observation in a data set is multiplied by , the only one of the following that is not multiplied by is
(a) the mean. (d) the standard deviation.
(b) the median. (e) the variance.
(c) the IQR.
The correct option is (e).
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The distribution of weights of -ounce bags of a particular brand of potato chips is approximately Normal with mean ounces and standard deviationounces. Draw an accurate sketch of the distribution of potato chip bag weights. Be sure to label the mean, as well as the points one, two, and three standard deviations away from the mean on the horizontal axis.
Questions T2.9 and T2.10 refer to the following setting. Until the scale was changed in , SAT scores were based on a scale set many years ago. For Math scores, the mean under the old scale in the was and the standard deviation was . In , the mean was and the standard deviation was .
T2.10. Jane took the SAT in and scored . Her sister Colleen took the SAT in and scored . Who did better on the exam, and how can you tell?
(a) Colleen-she scored points higher than Jane.
(b) Colleen-her standardized score is higher than Jane's.
(c) Jane-her standardized score is higher than Colleen's.
(d) Jane-the standard deviation was bigger in
(e) The two sisters did equally well-their -scores are the same.
About what percent of calls lasted less than minutes? minutes or more?
R2.9 low-birth-weight babies Researchers in Norway analyzed data on the birth weights of 400,000 newborns over a 6-year period. The distribution of birth weights is Normal with a mean of 3668 grams and a standard deviation of 511 grams. 17 Babies that weigh less than 2500 grams at birth are classified as "low birth weight."
(a) What percent of babies will be identified as having low birth weight? Show your work.
(b) Find the quartiles of the birth weight distribution. Show your work.
The weights of laboratory cockroaches follow a Normal distribution with mean grams and standard deviation grams. The figure below is the Normal curve for this distribution of weights.
Point C on this Normal curve corresponds to
(a) grams.
(c) grams.
(e) grams
(b) grams.
(d) grams.
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