Students in 3 rd grade were asked how many days, on average, they have homework.
ID: 2949863 • Letter: S
Question
Students in 3rd grade were asked how many days, on average, they have homework. Below are the data compare the responses from male and females. Use the following SPSS output for questions 17 through 25.
Group Statistics
N
Mean
Std. Deviation
Std. Error Mean
Male
204
4.10
2.377
.166
Female
117
3.68
2.545
.235
Independent Samples Test
Levene’s Test for Equality of Variances
t-test
F
Sig.
t
df
Sig. (2-tailed)
Homework
Equal variances assumed
3.520
.062
1.482
319
.139
Equal variances not assumed
1.455
228.427
.147
On the SPSS output above, what test statistic and significance value are used to assess the hypothesis that the average amount of days spent doing homework is different for males and females?
Question 11 options:
F = 3.520, p > .05
t = 1.482, p > .05
t = 1.455, p > .05
F = 3.520, p < .05
t = 1.482, p < .05
t = 1.455, p < .05
What is the probability that a Type I error was made?
Question 13 options:
.00
Between .00 and .05
Between .05 and .10
Greater than .10
What is the effect size of the difference?
Question 14 options:
0.000
0.012
0.019
0.110
Group Statistics
N
Mean
Std. Deviation
Std. Error Mean
Male
204
4.10
2.377
.166
Female
117
3.68
2.545
.235
Explanation / Answer
Q 11) Correct Test statistic t = 1.482 and P - value = 0.139 > 0.05
Correct answer: option (B)
since levene's test p-value = 0.062 which is > 0.05 so we conclude that the equal variances are assumed
Q12) Type I Error : Greater than .10
Q13) Standard error = Sqrt((203*2.3772 + 116*3.682) / (204+117))
= 52.1334
Effect Size = (4.10 - 3.68) / 52.1334 = 0.008056