SOLUTION: Find the margin of error for the given values of​ c, s, and n. c=0.99​, s=5​ n=11

Algebra ->  Probability-and-statistics -> SOLUTION: Find the margin of error for the given values of​ c, s, and n. c=0.99​, s=5​ n=11      Log On


   



Question 1202928: Find the margin of error for the given values of​ c, s, and n.
c=0.99​,
s=5​
n=11

Found 2 solutions by Grelavio, math_tutor2020:
Answer by Grelavio(5) About Me  (Show Source):
Answer by math_tutor2020(3817) About Me  (Show Source):
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Answer: 4.777 (approximate)

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Work Shown:

n = sample size
df = degrees of freedom

n = 11
df = n-1
df = 11-1
df = 10

Use a table such as this
https://www.sjsu.edu/faculty/gerstman/StatPrimer/t-table.pdf
to locate the row df = 10 and column labeled "99% confidence level". The confidence level labels are at the bottom of the table.

The value in the row df = 10 and 99% column is 3.169
This is the approximate critical t value.

E = margin of error
E+=+t%2As%2F%28sqrt%28n%29%29

E+=+3.169%2A5%2F%28sqrt%2811%29%29

E+=+4.77744725483467

E+=+4.777
This value is approximate.