For the following hypothesis test, where H0: μ ≤ 10; vs. HA: μ > 10, we reject H0 at level of significance α and conclude that the true mean is greater than 10, when the true mean is really 14. Based on this information, we can state that we have:
a. Made a Type I error.
b. Made a Type II error.
c. Made a correct decision.
d. Increased the power of the test.

Type I error would occur

Step-by-step explanation:

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(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

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step-by-step explanation: