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a) How many degrees of freedom does the t-statistic have? 2? 20.2920.29 60.8960.

ID: 3228304 • Letter: A

Question

a) How many degrees of freedom does the t-statistic have?

2?

20.2920.29

60.8960.89

80.6580.65

5.395.39

24.2824.28

65.1065.10

26.6026.60

27.5227.52

47.5347.53

71.0871.08

71.2571.25

52.0052.00

52.5952.59

86.6386.63

14.6114.61

34.3334.33

55.9255.92

88.0888.08

a) The t-statistic has

degrees of freedom.

(Simplify your answer.)

b) If the sample size had been

2, the t-statistic would have

degrees of freedom.

(Simplify your answer.)

A random sample of 18 purchases showed the amounts in the table (in $). The mean is $49.1549.15 and the standard deviation is $25.5525.55.

a) How many degrees of freedom does the t-statistic have?

b) How many degrees of freedom would the t-statistic have if the sample size had been

2?

20.2920.29

60.8960.89

80.6580.65

5.395.39

24.2824.28

65.1065.10

26.6026.60

27.5227.52

47.5347.53

71.0871.08

71.2571.25

52.0052.00

52.5952.59

86.6386.63

14.6114.61

34.3334.33

55.9255.92

88.0888.08

Explanation / Answer

Fromula: Degrees of freedom = n - 1

a) In this case,

n = 18

So,

Degrees of freedom = 18 - 1 = 17

b) For n = 2,

Degrees of freedom = 2 - 1 = 1