Question

USE R AND SHOW CODES!!

A sample of 240 graduate students were selected in random and asked them about the importance of Statistics in their field. The answers scaled from 1 to 25 and then

the sample categorized based on gender. Examine whether the opinions of females and males differ with respect to the importance of Statistics based on data given

DATA

Score (Y)	Gender (X)
15	Female
13	Male
10	Female
12	Female
14	Male
14	Female
6	Male
17	Male
13	Male
1	Female
10	Male
10	Male
20	Male
15	Male
5	Female
5	Male

(a) the variation of score for male and female are same.

(b) the variation of score for male and female are not same.

Answer 1

The R - code is given as follows-

##### Enter the data as the data-name "DATA"

#######Or simply import the data from the EXCEL or other file.

##### T-TEST for two- sample test

t1 = t.test(Score~ Gender, paired = FALSE, data = DATA) ; t1

The result is

Since the p-value is too high, we do not have enough evidence to reject the null hypothesis and conclude that

(a) the variation of score for male and female are same.