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# Statistics assignment - Essay Example

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The null hypothesis is that there is no difference in solution time of 6-year-olds and 8-year-olds and the experimental hypothesis is that there is difference in solution time of…

## Extract of sample "Statistics assignment"

2008/09 Voluntary Statistics Assignment The aim of the study is to find out whether solution time (for jigsaw puzzles) would vary with age. The null hypothesis is that there is no difference in solution time of 6-year-olds and 8-year-olds and the experimental hypothesis is that there is difference in solution time of 6-year-olds and 8-year-olds. The study was designed considering solution times for jigsaw puzzles for different age groups. Two age groups of children 6-year-olds and 8-year-olds took part (independent variable) and their solution time for jigsaw puzzles was measured (dependent variable).
The planned analysis is the t-test for Independent Samples. The three assumptions of the t-test for Independent Samples are met. The independent variable (age group) represents two unique groups as 6-year-olds and 8-year-olds. The dependent variable is measured using an interval scale. The variances of the two groups (6-year-olds and 8-year-olds) solution time are equal that is confirmed by the Levenes Test for Equality of Variances, F (24, 24) = 1.784, p = .188.
The t-statistic and its associated p- (Sig.) value indicate whether to accept or reject the null hypothesis. In this case t(48) = 3.96, p < .001. Therefore, reject the null hypothesis.
There was a significant effect of age on solution time of jigsaw puzzle, t(48) = 3.96, p < .001, with 6 year olds children’s solution times for jigsaw puzzles was higher than 8 year olds children’s solution times for jigsaw puzzles.
The results of the analysis are t(48) = 3.96, p < .001. Since the p-value is less than .05, we reject the null hypothesis of no differences between the means of the solution times for jigsaw puzzles for two age groups. The difference is statistically significant.
Table 1
Independent Samples Test

Levenes Test for Equality of Variances
t-test for Equality of Means

F
Sig.
t
df
Sig. (2-tailed)
Mean Difference
Std. Error Difference
95% Confidence Interval of the Difference

Lower
Upper
Time in seconds
Equal variances assumed
1.784
.188
3.960
48
.000
43.360
10.949
21.345
65.375

Equal variances not assumed

3.960
47.095
.000
43.360
10.949
21.334
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