Question
In: Statistics and Probability
You would like to study the height of students at your university. Suppose the average for...
You would like to study the height of students at your
university. Suppose the average for all university students is 67
inches with a SD of 18 inches, and that you take a sample
of 19 students from your university.
a) What is the probability that the sample has a
mean of 61 or less inches?
probability =
b) What is the probability that the sample has a
mean between 68 and 71 inches?
probability =
Note: Do NOT input probability responses as
percentages; e.g., do NOT input 0.9194 as 91.94.
Solutions
Expert Solution
Solution :
=
/ 
n = 18 /
19 =
(a)
P(
61) = P((
- 
) /
(61 - 67) / 18 /
19 )
= P(z -1.45)
= 0.0735
(b)
= P[(68 - 67) / 18 /
19 < (
-
)
/
< (71 - 67) / 18 /
19)]
= P(0.24 < Z < 0.97)
= P(Z < 0.97) - P(Z < 0.24)
= 0.834 - 0.5948
= 0.2392
orchestra answered 1 year agoRelated Solutions
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