A pizza shop has a delivery time that is normally distributed with a mean of 23.8 minutes and a standard deviation of 6.4 minutes. a. What is the chance a single pizza delivery takes over 30 minutes? b. What is the chance 250 pizzas average over 30 minutes? c. Which answer matters if you order a pizza? d. Which answer matter if you are the manager of the pizza shop? Think: What picture do you draw and why? Think: What checks do you need to write out? Think: What was the Z score in this problem? Think: Is your Z high or low? Unusual or not? Think: Does one individual matter? Who cares about a single pizza? Does the average of a group matter? Who cares about many pizzas at the same time? If it is all clear take a crack at this example of a quiz below

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A pizza shop has a delivery time that is normally distributed with a mean of 23.8 minutes and a
standard deviation of 6.4 minutes.
a. What is the chance a single pizza delivery takes over 30 minutes?
b. What is the chance 250 pizzas average over 30 minutes?
c. Which answer matters if you order a pizza?
d. Which answer matter if you are the manager of the pizza shop?
Think: What picture do you draw and why?
Think: What checks do you need to write out?
Think: What was the Z score in this problem?
Think: Is your Z high or low? Unusual or not?
Think: Does one individual matter? Who cares about a single pizza? Does the average of a group
matter? Who cares about many pizzas at the same time?
If it is all clear take a crack at this example of a quiz below
1. A professor claims 35% of his students make an A on the final exam. In a sample of 148 final
exams 53 students make an A. How likely is this result?
2. Which is the most appropriate comment on the professor's claim?
a. The claim seems reasonable, there were more A grades than expected
b.
The claim seems unreasonable, there were more A grades than expected
c. The claim seems reasonable, there were less A grades than expected
d. The claim seems unreasonable, there were less A grades than expected
3. NFL football scores are normally distributed with a mean of 19.2 points and a standard deviation
of 10.1 points. Teams play a 16 game season. How many points would a team need to average
over those 16 games to be in the bottom 3% of scoring average?
4. What is the title of the picture drawn? What checks did you use? Do all of your symbols match
your work?
5. When a human jumps into a body of water some of the water is displaced. The volume of
humans is normally distributed with a mean of 66.4 liters and a standard deviation of 5.9 liters.
Transcribed Image Text:A pizza shop has a delivery time that is normally distributed with a mean of 23.8 minutes and a standard deviation of 6.4 minutes. a. What is the chance a single pizza delivery takes over 30 minutes? b. What is the chance 250 pizzas average over 30 minutes? c. Which answer matters if you order a pizza? d. Which answer matter if you are the manager of the pizza shop? Think: What picture do you draw and why? Think: What checks do you need to write out? Think: What was the Z score in this problem? Think: Is your Z high or low? Unusual or not? Think: Does one individual matter? Who cares about a single pizza? Does the average of a group matter? Who cares about many pizzas at the same time? If it is all clear take a crack at this example of a quiz below 1. A professor claims 35% of his students make an A on the final exam. In a sample of 148 final exams 53 students make an A. How likely is this result? 2. Which is the most appropriate comment on the professor's claim? a. The claim seems reasonable, there were more A grades than expected b. The claim seems unreasonable, there were more A grades than expected c. The claim seems reasonable, there were less A grades than expected d. The claim seems unreasonable, there were less A grades than expected 3. NFL football scores are normally distributed with a mean of 19.2 points and a standard deviation of 10.1 points. Teams play a 16 game season. How many points would a team need to average over those 16 games to be in the bottom 3% of scoring average? 4. What is the title of the picture drawn? What checks did you use? Do all of your symbols match your work? 5. When a human jumps into a body of water some of the water is displaced. The volume of humans is normally distributed with a mean of 66.4 liters and a standard deviation of 5.9 liters.
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