In a report, a mill states a daily consumption of 1200kWh of energy with a variance of 300kWh?. A regulatory authority takes samples over 100 days. 1. What is the probability that a sample mean of 1005kWh or greater is found in this case? State the formula and calculate the answer. Feel free to use R. 2. Imagine the regulatory authority does not want to rely on the mill providing the va- riance, but uses the sample variance instead. What is the approach they should take to answer the above question? 3. The authority found that the probability that a sample mean of 1005kWh or greater is found is 2%. They came to the conclusion that the mill uses more than 1000kWh of energy per day. What does this tell you about the significance level they chose?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Task 10
In a report, a mill states a daily consumption of 1200kWh of energy with a variance of
300kWh?. A regulatory authority takes samples over 100 days.
1. What is the probability that a sample mean of 1005kWh or greater is found in this
case? State the formula and calculate the answer. Feel free to use R.
2. Imagine the regulatory authority does not want to rely on the mill providing the va-
riance, but uses the sample variance instead. What is the approach they should take
to answer the above question?
3. The authority found that the probability that a sample mean of 1005kWh or greater
is found is 2%. They came to the conclusion that the mill uses more than 1000kWh
of energy per day. What does this tell you about the significance level they chose?
Transcribed Image Text:Task 10 In a report, a mill states a daily consumption of 1200kWh of energy with a variance of 300kWh?. A regulatory authority takes samples over 100 days. 1. What is the probability that a sample mean of 1005kWh or greater is found in this case? State the formula and calculate the answer. Feel free to use R. 2. Imagine the regulatory authority does not want to rely on the mill providing the va- riance, but uses the sample variance instead. What is the approach they should take to answer the above question? 3. The authority found that the probability that a sample mean of 1005kWh or greater is found is 2%. They came to the conclusion that the mill uses more than 1000kWh of energy per day. What does this tell you about the significance level they chose?
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