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. 6 16 12 21 28 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.)

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Answer 1

We have for given data,              
              
Sample mean =16.6      
Sample standard deviation =8.4143  
Sample size =5      
Level of significance=1-0.95=0.05      
Degree of freedom =4      
              
t critical value is (by using t table)=2.776      
              
Confidence interval formula is               


=(6.15,27.05)