Let's call our estimate x. It will be the average of n IQ scores. Our average won't usually exactly equal the mean 97. But if we repeated averages over different sets of tests, the mean of our estimate the average would be the same as the mean of a single test,
μ = 97
Variances add, so the standard deviations add in quadrature, like the Pythagorean Theorem in n dimensions. This means the standard deviation of the average x is
σ = 17/√n
We want to be 95% certain
97 - 5 ≤ x ≤ 97 + 5
By the 68-95-99.7 rule, 95% certain means within two standard deviations. That means we're 95% sure that
μ - 2σ ≤ x ≤ μ + 2σ
Comparing to what we want, that's means we have to solve
2σ = 5
2 (17/√n) = 5
√n = 2 (17/5)
n = (34/5)² = 46.24
We better round up.
Answer: We need a sample size of 47 to be 95% certain of being within 5 points of the mean
Answer:
x = 3
Step-by-step explanation:
5x - 1 = 3x +5
-3x
2x - 1 = 5
+1
2x = 6
devide by x
x = 3
2x24=48x2=96x2=192x24=4,608
Answer:
A
Step-by-step explanation:
Substitute the values of n into the recursive formula and check result against values in table
A
= 3 + 5 = 8 ← correct
= 8 + 5 = 13 ← correct
= 13 + 5 = 18 ← correct
= 18 + 5 = 23 ← correct
Image is attached below.
If the sum of the digits its divisible by 9,
then the original number is divisible by 9.
Since 18 (the sum of the digits) is divisible by 9,
the number 540,171 is also divisible by 9.