PRACTICE ASSIGNMENT 2 - COS10003 QUESTION 1 Food expenditure 196 116.42 One-Sample Statistics N Mean Std. Deviation Std. Error Mean 54.419 3.887 Food expenditure t -2.207 195 df One-Sample Test Test Value = 125 Sig. (2-tailed) Mean Difference .028 -8.579 95% Confidence Interval of the Difference Lower -16.25 Upper -. 91 The economist hypothesised that the average food expenditure in Australia has changed from previous research of $125.00 per week. For a random sample of 196 Australian adults, the average amount of food expenditure was $116.42 (s = $54.42). This is lower than $125.00 per week and the one sample t-test shows this differences in mean amount of food expenditure is significant, t(195) = 2.21, p =0.028. The 95% confidence interval shows that the average expenditure on food of Australian adult per week is between $0.91 and $16.25 less than $125.00. As expected, the average amount of food expenditure for Australian adults does differs from $125.00, with the Australian adults on average spent less than $125.00 per week. QUESTION 2 DV: amount of money spent per week on leisure activities IV: play sport or not play sport
Group Statistics Do you play sport? N Mean Std. Deviation Std. Error Mean LeisureSpend yes 64 100.80 31.854 3.982 no 113 91.53 36.087 3.395 Independent Samples Test Levene's Test for Equality of Variances I-test for Equality of Means 95% Confidence Interval of the Difference LeisureSpend Equal variances assumed Equal variances not assumed F 1.934 Sig .166 1 1.711 175 df Sig. (2-tailed) .089 1.771 144,832 .079 Mean Difference 9.266 Std. Error Difference 5.417 9.266 5.232 Lower Upper 19.956 -1.424 -1.076 19.608 The economist hypothesised that Australian adults who play sport is spend more on leisure activity more than Australian adults who do not play sport. For a random sample of 177 Australian adults, the average expenditure on leisure activities of people that play sport (M = $100.80, s = $31.85, n = 64) was higher than the average expenditure on leisure activities of people that do not play sport (M = $91.53, s = 36.09, n = 113) however an independent samples t-test shows this difference in average expenditure on leisure activities is not significant, t(175) = 1.71, p = 0.089. The 95% confidence interval shows that that average expenditure on leisure activities of Australian adults who play sport is between $1.42 less and $19.96 more than Australian adults who don't play sport. There is insufficient evidence to suggest that the expenditure of leisure activities differs for adults who play sport and adult who don't play sport. Australian adults who play sport spend more on leisure activities than the Australian adults- who don't play sport .- Assumptions: The assumption of independence of observations has been met. The samples of Australian adults who play sport and do not play sport were both randomly selected. The assumption of normality has NOT been met. The distribution of expenditure spent on leisure activities FOR ADULTS WHO DON'T PLAY SPORT was approximately normal. BUT IT WAS NEGATIVELY SKEWED