Question

Researchers at the University of South Alabama compared the attitudes of male college students towards their fathers with their attitudes toward their mother. Each of a sample of 13 males was asked to give a numerical grade to describe his relationship with his father and a numerical grade to describe his relationship with his mother, with 1 being the lowest and 5 being the highest. The result is reported as follows:

	Father	Mother	Difference
Mean	3.85	4.15	-0.31
Sx	1.07	0.8	1.03

Assuming that the data is Normal, construct a 99% confidence
interval for the difference between male college students' attitude between their father and mother. Round your answer to 3 decimal places.

Group of answer choices

(-1.183,-0.563)

(-0.529,0.071)

(-1.336,0.736)

(-1.183,0.563)

(-1.343,0.743)

Answer 1

Ans :

The 99% confidence interval is given as

[ -1.183 , 0.563 ]

#########################Explantion############

Here the total number of sample selected

n= 13

To  construct a 99% confidence
interval for the difference between male college students' attitude between their father and mother.

we have mean of difference

= -0.31

and the sample standard deviation of differences

sd = 1.03

The 99% confidence interval is given as

Where is critical value form t-table

df= n-1

= 13-1=12

The lower confidence limit is given as

=

=  -1.182724

Rounding off

~ = -1.183

The upper confidence limit is given as

=

= 0.5627237

Rounding off

~= 0.563

The 99% confidence interval is given as

[ -1.183 , 0.563 ]