High School

Lets say that you are doing a study on the number of potatoes that people in America eat per week. you get a sample of one hundred people and find that the mean number of potatoes that the people in your study ate per week was 5 potatoes with a standard deviation of 2 potatoes.

Calculate the ninety five percent confidence interval for the mean number of potatoes that Americans eat each week (the population mean).

Answer :

Final answer:

To calculate the 95% confidence interval for the mean number of potatoes that Americans eat each week, you can use the formula: Confidence Interval = Mean ± (Z * (Standard Deviation / √(Sample Size))). Given the provided data, the 95% confidence interval is approximately 4.608 to 5.392 potatoes.

Explanation:

To calculate the 95% confidence interval for the mean number of potatoes that Americans eat each week, we can use the formula:

Confidence Interval = Mean ± (Z * (Standard Deviation / √(Sample Size)))

Given that the mean number of potatoes eaten per week is 5 with a standard deviation of 2 and a sample size of 100, we can substitute these values into the formula:

Confidence Interval = 5 ± (1.96 * (2 / √100))

Simplifying, we get:

Confidence Interval = 5 ± (1.96 * 0.2)

Therefore, the 95% confidence interval for the mean number of potatoes that Americans eat each week is approximately 4.608 to 5.392 potatoes.

Learn more about confidence interval here:

https://brainly.com/question/34700241

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