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Multiple Attempts Not allowed. This test can only be taken once. Force Completio

ID: 1132616 • Letter: M

Question

Multiple Attempts Not allowed. This test can only be taken once. Force Completion This test can be saved and resumed later. Question Completion Status: Ly Moving to another question will save this response. Question 1 of 5 Question 1 0.5 points Save Answer Two samples each of size 25 are taken from independent populations assumed to be normally distributed with equal variances. The first sample has a mean of 35.0 and standard deviation of 3.0 while the second sample has a mean of 33.0 and standard deviation of 4.0. The computed t statistic is 2.00 1.50 1.20 1.70 , 1.00 Question 1 of 5 Moving to another question will save this response. 6 MacBook Pro

Explanation / Answer

ANSWER: the t stat for two sample means is:

T stat = x1 - x2 / ( ( s1 ^ 2 / n1 ) + ( s2 ^ 2 / n2) ) ^ 1/2

x1 = 35

x2 = 33

s1 = 3

n1 = 25

s2 = 4

n2 =25

T stat = 35 - 33 / ( ( (3) ^ 2 / 25 ) + ( (4) ^ 2 / 25) ) ^ 1/2

T stat = 2 / ( ( 9 / 25) + ( 16 / 25) ) ^ 1/2

T stat = 2 / ( 25 / 25 ) ^ 1/2

T stat = 2 / 1

T stat = 2

The correct answer is option a that is 2.