Which of the following steps, if any, contain an error? State: We want to estimate u = the mean amount of waste produced by this elephant with 95

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Farmer Joe is at it again. He knows that animal waste is excellent for enriching the soil and helping crops grow strong. He visits
his nearby zoo and asks the elephant caretaker to weigh the elephant's waste for a random sample of 10 days. He then learns that
the amount of waste produced by the elephant is approximately normally distributed with a mean of 50 pounds and a standard
deviation of 12.5 pounds.
He constructs and interprets a 99% confidence interval for the true mean amount of waste produced by this elephant.
Which of the following steps, if any, contain an error?
State: We want to estimate μ = the mean amount of waste produced by this elephant with 95% confidence.
Plan: One-sample t interval for μ Random? Random sample of 10 days. Yes! Normal/Large Sample? We cannot check
this condition because we do not have enough information. The sample size is small and we do not have a graph of the
sample data.
Two of the steps contain an error.
Do: (37.154, 62.846)
Conclude: We are 95% confident that the interval from 37.154 pounds to 62.846 pounds captures the true mean weight
of the waste produced daily by this elephant.
Incorrect
Transcribed Image Text:Farmer Joe is at it again. He knows that animal waste is excellent for enriching the soil and helping crops grow strong. He visits his nearby zoo and asks the elephant caretaker to weigh the elephant's waste for a random sample of 10 days. He then learns that the amount of waste produced by the elephant is approximately normally distributed with a mean of 50 pounds and a standard deviation of 12.5 pounds. He constructs and interprets a 99% confidence interval for the true mean amount of waste produced by this elephant. Which of the following steps, if any, contain an error? State: We want to estimate μ = the mean amount of waste produced by this elephant with 95% confidence. Plan: One-sample t interval for μ Random? Random sample of 10 days. Yes! Normal/Large Sample? We cannot check this condition because we do not have enough information. The sample size is small and we do not have a graph of the sample data. Two of the steps contain an error. Do: (37.154, 62.846) Conclude: We are 95% confident that the interval from 37.154 pounds to 62.846 pounds captures the true mean weight of the waste produced daily by this elephant. Incorrect
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