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

ID: 3290146 • 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.)
( ,) (     )

5     15     10     21     28    

Explanation / Answer

Sample mean = (5+15+10+21+28)/5 = 15.8

Stabdard deviation = 9.0388

Critival value at 5% Level and degree of freedom = 5-1 = 4 is 2.7764

Margin of error =(2.7764*9.0388)/Sqrt(5) = 11.22316

95% Interval

(15.8-11.22316, 15.8+11.22316)

= (4.58, 27.02)

So, Interval is (4.58, 27.02)