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Five students visiting the student health center for a free dental examination d

ID: 3054282 • Letter: F

Question

Five students visiting the student health center for a free dental examination during National Dental Hygiene Month were asked how many months had passed since their last visit to a dentist. Their responses were as follows.

Assuming that these five students can be considered a random sample of all students participating in the free checkup program, construct a 95% confidence interval for the mean number of months elapsed since the last visit to a dentist for the population of students participating in the program. (Give the answer to two decimal places.)
(  ,  )

7     16     11     20     29    

Explanation / Answer

Ans:

sample size,n=5

sample mean=83/5=16.60

standard deviation,s=8.503

df=5-1=4

critical t value=tinv(0.05,4)=2.776

95% confidence interval for mean

=16.60+/-2.776*8.503/sqrt(5)

=16.60+/-10.56

=(6.04, 27.16)