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(a) z = 2.25 P = (b) z = -1.95 P = (c) z = 0.51 P = (d) z = 1.29 P = (e) z = -5.

ID: 2907840 • Letter: #

Question

(a) z = 2.25
P =  

(b) z = -1.95
P =  

(c) z = 0.51
P =  

(d) z = 1.29
P =  

(e) z = -5.00
P =  

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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.)

(___________, __________________)

6 17 10 24 27

Explanation / Answer

Solution:-
(a) Z = 2.25
P = 0.0244

(b) Z = -1.95
P = 0.0512

(C) Z = 0.51
P = 0.6101

(d) Z = 1.29
P = 0.1971

(e) Z = -5.00
P = 0.0001

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Solution:- Given information that values 6,17,10,24,27

x = 16.8 , s = 8.9275 , df = n-1 = 4

t = 2.776

95% confidence interval for the mean : X +/- t*s/sqrt(n)
: 16.8 +/- 2.776*8.9275 /sqrt(5)
: 5.72 , 27.88