True False Step 1: The one-sample statistic for testing h0:?=40h0:?=40 ha:??40ha

Question

True

False

Step 1:
The one-sample statistic for testing
h0:?=40h0:?=40
ha:??40ha:??40
from a sample of n = 13 observations has the value t=2.78.

What are the degrees of freedom for ?

Fill in the blank:
The degrees of freedom are _______ .

Step 2:
The one-sample statistic for testing
h0:?=40h0:?=40
ha:??40ha:??40
from a sample of n = 13 observations has the value t=2.78t=2.78.

The two critical values that bracket , from Table D, are (_____ < t < _____) (Give your answers to 3 decimal places) .

Answer 1  
Answer 2

Step 3:
The one-sample statistic for testing
h0:?=40h0:?=40
ha:??40ha:??40
from a sample of n = 13 observations has the value t=2.78t=2.78.

Locate the two critical values that bracket , from Table D. Between what two values does the -value of the test fall?
Fill in the blanks:
The -value of the test falls between the values A) _______ and B) _______ .
Give your answers in increasing order and to two decimal places.

Answer 1  
Answer 2

Step 4:
The one-sample statistic for testing
h0:?=40h0:?=40
ha:??40ha:??40
from a sample of n = 13 observations has the value t=2.78t=2.78.

Locate the two critical values that bracket , from Table D. Is the value t=2.78t=2.78 statistically significant at the 5% level? At the 1% level?
True of False:
The value t=2.78t=2.78 is significant at the 5% level but not at the 1% level.

True

False

Explanation / Answer

Solution:

step1:

degrees of freedom=n-1=13-1=12

Solution

step2:

t test (two tail)

=-2.179 to +2.179

2.179 <t< +2.179

answer1:-2.179

answer2:+2.179

Solution step3:

p=0.01655

P<0.05 range is

0.01<p<0.05

answer1:0.01

answer2:0.05

step4;

for 5% p=0.10665

p<0.05'

reject HO

significant at 5%

At 1% p=0.0167

p>0.01

Do not reject Ho

not significant at 1%

TRUE

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