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

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. 7 15 10 24 29

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.)

Explanation / Answer

mean=(7+15+10+24+29)/5=17

variance =[(7-17)2 +(15-17)2 +(10-17)2 +(24-17)2 +(29-17)2 ]/4

variance=[(-10)2 +(-2)2 +(-7)2 +(7)2 +(12)2 ]/4

variance=100+4+49+49+144 =346/4

variance=86.5

standard deviation for sample= 9.3

standard deviation =9.3/(5)0.5 =4.16

95% confidence interval=(17-1.96*4.16,17+1.96*4)

                                 =(9.16,24.84)

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