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2.5 Measure of Position Questions with complete solution 2024/2025
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2.5 Measure of Position Questions with complete solution 2024/2025 2.5 Measure of Position A radio station claims that the amount of advertising per hour of broadcast time has an average of 12 minutes and a standard deviation equal to 1.2 minutes. You listen to the radio station for 1 hour, at ...

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  • October 15, 2024
  • 5
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

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  • MATH 172
  • MATH 172

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2.5 Measure of Position
A radio station claims that the amount of advertising per hour of broadcast
time has an average of 12 minutes and a standard deviation equal to 1.2
minutes. You listen to the radio station for 1 hour, at a randomly selected time,
and carefully observe that the amount of advertising time is equal to 15
minutes. Calculate the z-score for this amount of advertising time. - correct
answer ✔z = 2.50


A teacher gives a 20-point quiz to 10 students. The scores are listed below.
What percentile corresponds to the score of 12?


20 8 10 7 15 16 12 19 14 9 - correct answer ✔40


Find the z-score for the value 79, when the mean is 55 and the standard
deviation is 5 - correct answer ✔z = 4.80


For the mathematics part of the SAT the mean is 514 with a standard
deviation of 113, and for the mathematics part of the ACT the mean is 20.6
with a standard deviation of 5.1. Bob scores a 660 on the SAT and a 27 on
the ACT. Use z-scores to determine on which test he performed better. -
correct answer ✔SAT


In a data set with a minimum value of 54.5 and a maximum value of 98.6 with
300 observations, there are 186 points less than 81.2. Find the percentile for
81.2. - correct answer ✔62


Many firms use on-the-job training to teach their employees computer
programming. Suppose you work in the personnel department of a firm that
just finished training a group of its employees to program, and you have been
requested to review the performance of one of the trainees on the final test

, that was given to all trainees. The mean and standard deviation of the test
scores are 75 and 2, respectively, and the distribution of scores is bell-shaped
and symmetric. Suppose the trainee in question received a score of 68.
Compute the trainee's z-score. - correct answer ✔z = -3.50


The ages of 10 grooms at their first marriage are listed below. Find the
midquartile.
35.1 24.3 46.6 41.6 32.9 26.8 39.8 21.5 45.7 33.9 - correct answer ✔34.2


The birth weights for twins are normally distributed with a mean of 2353 grams
and a standard deviation of 647 grams. Use z-scores to determine which birth
weight could be considered unusual. - correct answer ✔3647 g


The cholesterol levels (in milligrams per deciliter) of 30 adults are listed below.
Find the percentile that corresponds to cholesterol level of 195.
154 156 165 165 170 171 172 180 184 185
189 189 190 192 195 198 198 200 200 200
205 205 211 215 220 220 225 238 255 265 - correct answer ✔50


The cholesterol levels (in milligrams per deciliter) of 30 adults are listed below.
Find the percentile that corresponds to a cholesterol level of 238 milligrams
per deciliter.
154 156 165 165 170 171 172 180 184 185
189 189 190 192 195 198 198 200 200 200
205 205 211 215 220 220 225 238 255 265 - correct answer ✔90th
percentile


The cholesterol levels (in milligrams per deciliter) of 30 adults are listed below.
Find Q1.
154 156 165 165 170 171 172 180 184 185

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