For each of the following statements, determine whether it\'s true or false: a)

Question

For each of the following statements, determine whether it's true or false:

a) If you toss a quarter 18 times, then the probability that 15 are tail and 3 are head of those 18 times is given by the binomial distribution formula and the answer is .003 :----------

b) If the graph of the data after conducting a 2x2 factorial design is a two parallel lines, then you will probably not find a significant interaction:---------------

c) As the number of comparisons of means withinn an experiment increases in a t-ratio, then the chance of a type two error decreases:-------------

d) If the MSM is much smaller then the MSB, then the F-ratio is more likely to lead to rejection of the null hypothesis:-----------

Explanation / Answer

Result:

For each of the following statements, determine whether it's true or false:

a) If you toss a quarter 18 times, then the probability that 15 are tail and 3 are head of those 18 times is given by the binomial distribution formula and the answer is .003 :----------

True

P(X=3) = (18C3) )0.53 (1-0.5)18-3

b) If the graph of the data after conducting a 2x2 factorial design is a two parallel lines, then you will probably not find a significant interaction:---------------

True.

(parallel lines indicates no interaction.)

c) As the number of comparisons of means within an experiment increases in a t-ratio, then the chance of a type two error decreases:-------------

True

( number of comparisons increases, type I error increases, then type II error decreases)

d) If the MSM is much smaller then the MSB, then the F-ratio is more likely to lead to rejection of the null hypothesis:-----------

True

(If the MSM is much smaller then the MSB, then the F-ratio become larger than 1 whichleads to rejection of Ho)

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