Question#1 Question#2 Answer 1 Answer 2 Question#1 Step 1: The one-sample statis

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Question#1

Question#2

Answer 1
Answer 2

Question#1

Step 1:
The one-sample statistic for testing
h0:?=40
ha:??40
from a sample of n = 27 observations has the value t=2.01.

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:?=40
ha:??40
from a sample of n = 27 observations has the value t=2.01.

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:?=40
ha:??40
from a sample of n = 27 observations has the value t=2.01.

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 to two decimal places.

Answer 1
Answer 2

Step 4:
The one-sample statistic for testing
h0:?=40
ha:??40
from a sample of n = 27 observations has the value t=2.01.

Locate the two critical values that bracket , from Table D. Is the value t=2.01 statistically significant at the 5% level? At the 1% level?
True of False:
The value t=2.01 is significant at the 5% level but not at the 1% level. True False

Step 5:
The one-sample statistic for testing
h0:?=40
ha:??40
from a sample of n=28 observations has the value t=2.01.

Locate the two critical values that bracket , from Table D. If you have software available, find the exact -value.
Give your answer to 4 decimal places.
Fill in the blank:
The -value is: _______ .

Question#2

Step 1:
The one-sample statistic for testing
h0:?=8
ha:?>8
from a sample of n=16 observations has the value = 2.15.

What are the degrees of freedom for this statistic?

Fill in the blank:
The degrees of freedom for this statistic are _______ . (Give your answer as a whole number.)

Step 2:
The one-sample statistic for testing
h0:?=8
ha:?>8
from a sample of n=16 observations has the value = 2.15.

Give the two critical values from Table D that bracket .

2.131 < < 2.249 2.249 < < 2.131 2.080 < < 2.189 2.093 < < 2.101

Step 3:
The one-sample statistic for testing
h0:?=8
ha:?>8
from a sample of n=16 observations has the value = 2.15.

Between what two values does the -value of the test fall?
Fill in the blank:
Give your answers to 2 decimal places.
The -value of the test falls between the values A) _______ and B) _______ .

Answer 1
Answer 2

Step 4:
The one-sample statistic for testing
h0:?=8
ha:?>8
from a sample of n=16 observations has the value = 2.15.

Is the value = 2.15 significant at the 5% level? Is it significant at the 1% level?
True of False:
= 2.15 is significant at the 5% level and also at the 1% level.

True False

Step 5:
The one-sample statistic for testing
h0:?=8
ha:?>8
from a sample of n=16 observations has the value = 2.15.

If you have software available, find the exact -value.
Give your answer to 4 decimal places.
Fill in the blank:
The -value is: _______ .

Explanation / Answer

Question1:

Step1:: Ans:- 26

Degree of freedom for one sample test DF= n-1. Here n=27 so DF=(27-1)=26.

Step2 :: Ans: 1.993 < t < 2.115

At DF= 26, the critical values are 1.993 < t < 2.115

Step 3:: Ans : 0.097 < t < 0.026

Step 4 :: Ans:- At the 5% significance t > 2.01 is statistically significant, since pvalue < 0.097 < 0.026, but it is not statistically significant at 1%, since the pvalue > 0.02

Step 5:: Ans:- 0.0275

Question 2:

Step1:: Ans:- DF=15

Step2:: Ans:- 2.131 <t< 2.249

Step 3:: Ans: 0.024 <t < 0.976

Step 4: False

Step 5: 0.0241

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