The health teacher at a small middle school is interested in how many calories s
ID: 3170418 • Letter: T
Question
The health teacher at a small middle school is interested in how many calories students at her school consume in a day. She takes a random sample of 10 students from the middle school and records the number of calories they consume in a 24 hour period. From the sample she found the average number of calories consumed was 1873 and that the standard deviation was 330. However before she finds the confidence interval for how many calories students consume in one day she goes to the statistics teacher for advice. What should the statistics teacher's advice be? Select one or more:
a)She can calculate the confidence interval but should use a t-distribution since it deals with an average.
b)The standard devaition is not large enough to compute the confidence interval.
c)The population may not be normal, but the t-distribution is always robust, so she should calculate the confidence as usual.
d)The population may not be normal, but since the sample size is small, she should not compute the confidence interval and should consult a statistician.
e)She did not take a simple random sample of the students, thus she should not compute the confidence interval.
Explanation / Answer
However before she finds the confidence interval for how many calories students consume in one day she goes to the statistics teacher for advice. What should the statistics teacher's advice be?
She can calculate the confidence interval but should use a t-distribution since it deals with an average.
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