The onesample t statistic from a sample of n 15 observation

The one-sample t statistic from a sample of n = 15 observations for the two-sided test of H0: = 50 Ha: 50 has the value t = 2.50. What are the degrees of freedom for t? (must be one of the ones below) 4 7 11 6

Step 2: (select one) Is the value t = 2.50 statistically significant at the 10% level? At the 5% level?

a. The value t = 2.50 is not significant neither at the 10% level nor at the 5% level.

b. The value t = 2.50 is significant both at the 10% level and at the 5% level.

c. The value t = 2.50 is significant at the 5% level, but not at the 10% level.

d. The value t = 2.50 is significant at the 10% level, but not at the 5% level.

Solution

1.

As df = n - 1

and

n = 15

then

df = n - 1 = 14 [ANSWER]

Note: Please check your choices if there is a typo.

*******************

2.

Using table/technology, the critical t values at df = 14 and 0.10 and 0.05 significance,

tcrit (0.10) = 1.761310136

tcrit (0.05) = 2.144786688

Thus, as 2.50 is greater than both critical values, then

OPTION B: b. The value t = 2.50 is significant both at the 10% level and at the 5% level. [ANSWER, B]