True False: Suzy and Fran toss a coin over cab fare. The probability that Suzy w

Question

True False: Suzy and Fran toss a coin over cab fare. The probability that Suzy will pay five days in a row is .03125? The sum of the mean deviations in a data set always equals zero? In a sample of 25 with a standard deviation 4 the sum of squared deviations from the sample mean is 96? True False: Suzy and Fran toss a coin over cab fare. The probability that Suzy will pay five days in a row is .03125? The sum of the mean deviations in a data set always equals zero? In a sample of 25 with a standard deviation 4 the sum of squared deviations from the sample mean is 96? Suzy and Fran toss a coin over cab fare. The probability that Suzy will pay five days in a row is .03125? The sum of the mean deviations in a data set always equals zero? In a sample of 25 with a standard deviation 4 the sum of squared deviations from the sample mean is 96?

Explanation / Answer

Sample size (n) = 25

standard deviation (S) = 4

sum of squared deviations from the sample mean is 96

We know that the formula of sample variance is,

S² = [1/(n-1)] [(x_i) - xbar]²
(n-1) S² = [(x_i) - xbar]²

The sum on the right is the sum of the squared deviations from the sample mean xbar.

n-1 = 25 - 1 = 24

[(x_i) - xbar]² = 24 * 42 = 24*16 = 384

And in the question we are given that  sum of squared deviations from the sample mean is 96.

But it is 384.

Therefore this is a false statement.

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