What distribution will we use to calculate the significance level of this new test? O Uniform (37, 45) O Normal (37.5, 1.5) O Normal (41, 0.385) O Normal (41, 2.31) O Normal (37.5, 0.25)
What distribution will we use to calculate the significance level of this new test? O Uniform (37, 45) O Normal (37.5, 1.5) O Normal (41, 0.385) O Normal (41, 2.31) O Normal (37.5, 0.25)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Topic Video
Question
Please answer question 6.4
![The Absent-Minded Bakery sells both cream-filled and jelly-filled donuts. In the morning rush,
the bakers forgot which batch was cooling on which tray and now need help in identifying the
two trays.
The weights of jelly-filled donuts follow a uniform distribution from 37 to 45 g. The mean
weight of jelly-filled donuts is 41 g with a standard deviation of 2.31 g.
The weights of cream-filled donuts follow a normal distribution with a mean of 37.5 g and a
standard deviation of 1.5 g.
The bakery will set their two hypotheses as follows:
Ho: The tray contains jelly-filled donuts
Ha: The tray contains cream-filled donuts.
We randomly select and weigh a donut from the tray. If the donut weighs 39 g or less, we'll
decide that the tray it came from contains cream-filled donuts; that is we will reject Ho.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2898dea9-e886-407e-829c-8f4c4706515e%2Fe81c8bb4-6ca1-48a7-ab8b-4847ee3251c1%2Fiytk7tl_processed.png&w=3840&q=75)
Transcribed Image Text:The Absent-Minded Bakery sells both cream-filled and jelly-filled donuts. In the morning rush,
the bakers forgot which batch was cooling on which tray and now need help in identifying the
two trays.
The weights of jelly-filled donuts follow a uniform distribution from 37 to 45 g. The mean
weight of jelly-filled donuts is 41 g with a standard deviation of 2.31 g.
The weights of cream-filled donuts follow a normal distribution with a mean of 37.5 g and a
standard deviation of 1.5 g.
The bakery will set their two hypotheses as follows:
Ho: The tray contains jelly-filled donuts
Ha: The tray contains cream-filled donuts.
We randomly select and weigh a donut from the tray. If the donut weighs 39 g or less, we'll
decide that the tray it came from contains cream-filled donuts; that is we will reject Ho.
![A baker who is particularly well-versed in statistics remembers that the results of hypothesis
tests are more accurate if a larger sample is taken. The baker decides to repeat the test, but
this time weighing the entire tray of 36 donuts and calculating the average donut weight to
make the decision. The baker updates the decision rule to reject Ho if the average donut
weight for the tray is 39 g or less.
What distribution will we use to calculate the significance level of this new test?
O Uniform (37, 45)
O Normal (37.5, 1.5)
Normal (41, O.385)
Normal (41, 2.31)
O Normal (37.5, 0.25)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2898dea9-e886-407e-829c-8f4c4706515e%2Fe81c8bb4-6ca1-48a7-ab8b-4847ee3251c1%2F2yul9hv_processed.png&w=3840&q=75)
Transcribed Image Text:A baker who is particularly well-versed in statistics remembers that the results of hypothesis
tests are more accurate if a larger sample is taken. The baker decides to repeat the test, but
this time weighing the entire tray of 36 donuts and calculating the average donut weight to
make the decision. The baker updates the decision rule to reject Ho if the average donut
weight for the tray is 39 g or less.
What distribution will we use to calculate the significance level of this new test?
O Uniform (37, 45)
O Normal (37.5, 1.5)
Normal (41, O.385)
Normal (41, 2.31)
O Normal (37.5, 0.25)
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