Homework SourseA 43718 B 46282 C 20 D There is no upper limit Two researche
A.
437.18
B.
462.82
C.
20
D.
There is no upper limit
Two researchers plan to construct a 99% confidence interval for the mean of a Normal population with (known) standard deviation . Researcher A will use a random sample of 50 individuals. Researcher B will use a random sample of 800 individuals. Then the margin of error for Researcher A\'s estimate is _______ times that of Researcher B\'s estimate. Which number below correctly fills in the blank?
A.
2
B.
4
C.
16
D.
None of the above. A larger sample size will decrease the margin of error.
| One hundred seniors, from a large metropolitan area school district, volunteer to allow their Math SAT test scores to be used in a study. These 100 seniors had a mean Math SAT score of | |||||||||
|
Solution
Note that
Upper Bound = X + z(alpha/2) * s / sqrt(n)
where
X = sample mean = 450
z(alpha/2) = critical z for the confidence interval = 1.281551566
s = sample standard deviation = 100
n = sample size = 100
Thus,
Upper bound = 462.82 [ANSWER, OPTION B]
Hi! Please submit the next question as a separate question. That way we can continue helpting you! Thanks!
