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The mean annual tuition and fees for a sample of 9 private colleges was $30,100

ID: 3223878 • Letter: T

Question

The mean annual tuition and fees for a sample of 9 private colleges was $30,100 with a standard deviation of $5500 . A dotplot shows that it is reasonable to assume that the population is approximately normal. You wish to test whether the mean tuition and fees for private colleges is different from $33,000.

Compute the value of the test statistic and state the number of degrees of freedom.

-0.527; 9 degrees of freedom

-0.527; 8 degrees of freedom

-1.582; 8 degrees of freedom

-1.582; 9 degrees of freedom

A)

-0.527; 9 degrees of freedom

B)

-0.527; 8 degrees of freedom

C)

-1.582; 8 degrees of freedom

D)

-1.582; 9 degrees of freedom

Explanation / Answer

mean = 33000, x =30100, s = 5500, n = 9

t = ( x - mean) / ( s / sqrt(n))

= ( 30100 - 33000) / ( 5500/ sqrt(9))

= -1.582

degrees of freedom = 8

c) -1.582 , 8 degrees of freedom

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