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**Unformatted text preview: **Stat 119 Quiz 2E section 24 Name:
Red id: l. (l point)_An athlete completed an BOO-m race in 140 seconds. The distribution of BOO-n1 race
times foilowed a belt curve. with mean 150 seconds and standard deviation 6. The same athlete
aiso competed in a swim. finishing in 10.25 minutes. The distribution of swim times also
foilowed a beli curve, with mean 12 minutes and standard deviation 1.5 minutes. In which event
does the athlete have. a better standing relative to the other competitors in the event? A. The SOC—m race because that has the higher z~score. % W ggﬁg m g g3 mam é B The swim because that has the higher z—score f see “W “W @ The SOB—m race because that has the lower z~score é
. The swim because that has the lower z—score we 9 We .3: W is 3%»
%Ss.ii;e w f3} Answer: 2. (1 point) When the points in a normai probabiiity plot {alt along a straight tine, we infer that
the population distribution is: A. srnali B. nonwnormal C. uniform normal Answer 3. {1 point) A Z~score oi" 2 means
A. The observation is 2 standard deviations smalEer than the mean
The observation is 2 standard deviations target than the mean
. The observation is twice larger than the mean
D. The difference between the observation vaiue and the mean is 2 Answer: Use the fa owmg information to answer questions 4-6 Statistics exam scores foliow an approximately normal distribution with a mean of 70 points and
a standard deviation of 8 points. 4. (2 points) If a student has a Z~score of —E .5. what was the student’s actuai exam score? (show work) W E a S g: \X “36$ w t: x W Answer: 3‘ X “7.3%” ﬁlm" 5. (i point} Use the empirical rule to estimate the percentage of statistics exam scores that a
between 6?. and 94 A. 68% B. 8} 5% C. 97.5 D. 83.85% 13.95% ﬁe «i n%: m a Sp 3% é ﬁg 6. (2 points) For the distribution of statistics exam scores. what is the value of the 84Eh percentiie? Answer: 7. (3 points) In a 2002 study. the Accreditation Council t" or Graduate Medical Education found
that medical residents‘ mean number of hours worked in a week is 81.7. Suppose the number of
hours werked per week by medical residents is approximately normal. Find the standard deviation
of hours worked in a week if 4% of the medical residents work more than 90 hours per week. We Wet Answer: 5% g? Use the following information to answer problems 840
Suppose that the height of at] basketball players in National Basketbail Association is normally distributed with mean 80 inches and standard deviation of 5 inches. 8. ('3 points) What is the probability that a randomly selected player has a height of more than 82 W? e; a rim 5
§ 395%“? cram} Answer: E “3;: §* § 9. (4 points) Determine the two heights that represent the middte 90% of the distribution of
basketbail piayer heights. Knew Lse§§§§ «arse :2: Mamet” 5a,“ assertstam; seize? w W
Answer: é 3 gygé 10. (3 points) What is the. mine of the third quartiie of this distribution? X: tegeiﬁ x $§~3§ Answer: KW“ ...

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