The onesample t statistic for testing H0 0 Ha 0 from a sam

The one-sample t statistic for testing H0: = 0 Ha: > 0 from a sample of n = 25 observations has the value t = 1.75. What are the degrees of freedom for this statistic?

a. 15

b. 24

c. 17

d. 16

Give the two critical values t* from Table C that bracket t. What are the one-sided P-values for these two entries?

a. t* = 1.729 with P-value = 0.05, and t* = 1.84 with P-value = 0.025.

b. t* = 1.753 with P-value = 0.10, and t* = 2.131 with P-value = 0.05.

c. t* = 1.761 with P-value = 0.10, and t* = 2.145 with P-value = 0.05.

d. t* = 2.132 with P-value = 0.10, and t* = 2.776 with P-value = 0.05.

Step 3: Is the value t = 1.75 significant at the 10% level? Is it significant at the 1% level?

a. The value t = 1.75 is significant at the 10% level but not at the 1% level.

b. The value t = 1.75 is not significant neither at the 10% level nor at the 1% level.

c. The value t = 1.75 is significant both at the 10% level and at the 1% level.

d. The value t = 1.75 is significant at the 1% level but not at the 10% level.

Solution

1. 24 degrees of freedom

2. t* = 1.761 with P-value = 0.10, and t* = 2.145 with P-value = 0.05.

Step -3

a. The value t = 1.75 is significant at the 10% level but not at the 1% level.