Question

3. Given the market sales data, if we're interested to know whether mean sales from Market 1 is different mean sales from Market 2. Please state the null and alternative hypothesis and what statistical test you think is appropriate? Lastly, how would you interpret the results from SPSS output? Group Statistics Market id Mean Std. Deviation Mean sales ($1000) Market 1 Market 2 200 1797382 200 196.8938 33823 18.92550 2.94516 41.65086 Levene's Tes 10 7959 ales (1000) ai variances esumed 71 167 1715565 D0D Equai variances not 000 17.1556 303 277 13

Answer 1

n2 200 n1 200 X1- 179.7382 X2- 195.8938 S1 18.9255 s2= 41.65086 Step 1: Hypothesis: Calculation of pooled variance, "P Step 2: ni +n2 -2 1,046 (x1-x2)-(Hata)。 Calculation of test statistic, t- Step 3: s/n P '2 4.9941 Significance level, α 0.05 Degree of freedom, df n1+n2-2 398 corresponding to given α, t-score and df , p-value- 0.0001 Statistical decision: the result is significant at p < 0.05 Conclusion: H0 is Not rejected. Therefore, with 95% confidence, we Step 4: may conclude that the mean x1 does not differ from mean x2