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After surveying students at Dartmouth College, a campus organization calculated

ID: 3179498 • Letter: A

Question

After surveying students at Dartmouth College, a campus organization calculated that a 95% confidence interval for the mean cost of food for one term (of three in the Dartmouth trimester calendar) is ($1602, $1790). Now the organization is trying to write its report and is considering the following interpretations. Comment on each. a) 95% of all students pay between $1602 and $1790 for food b) 95% of the sampled students paid between $1602 and $1790 c) We're 95% sure that students in this sample averaged between $1602 and $1790 for food. d) 95% of all samples of students will have average food costs between $1602 and $1790 e) We're 95% sure that the average amount all students pay is between $1602 and $1790.

Explanation / Answer

The 95% confidence interval for mean shows that we are 95% confident that true mean amount in lie between $1602 and $1790. It is about true populaiton mean calculated from sample statistics.

That is first four option are false and last option is true.