IDNLearn.com connects you with a community of knowledgeable individuals ready to help. Discover the information you need quickly and easily with our reliable and thorough Q&A platform.
Answer:
(34.15, 47.85)
Step-by-step explanation:
[tex]n = (\frac{z*stddev}{ME} )^{2}[/tex]
stddev = 11.9
z = invNorm(
area = (1 + confidence interval)/2
mean = 0
stddev = 1
)
= invNorm(
0.995
0
1
)
≈ 2.576
n = 20
square root both sides
[tex]\sqrt{20} = 2.576 * 11.9 / ME[/tex]
multiply both sides by ME, divide both sides by √20 to isolate ME
ME = 2.576 * 11.9/√20
≈ 6.85
interval = mean ± ME
= (41-6.85, 41+6.85)
= (34.15, 47.85)