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 thetwo trays.The weights of jelly-filled donuts follow a uniform distribution from 37 to 45 g. The meanweight 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 astandard deviation of 1.5 g.The bakery will set their two hypotheses as follows:Ho: The tray contains jelly-filled donutsHa: 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'lldecide 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 hypothesistests are more accurate if a larger sample is taken. The baker decides to repeat the test, butthis time weighing the entire tray of 36 donuts and calculating the average donut weight tomake the decision. The baker updates the decision rule to reject Ho if the average donutweight 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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Description: 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 thetwo trays.The weights of jelly-filled

We have given that the weight of cream filled donuts follow a normal distribution with mean 37.5 g…

Answered: What distribution will we use to…

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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)

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Concept explainers

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

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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.

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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