# Give a full and correct answer for this questions: a.What is the null hypothesis? b.Copy and paste the data into the Group 1 and Group 2 data boxes. Do the distributions look different to you? c.Record the p-value of the hypothesis test. How do you interpret this result?

Give a full and correct answer for this questions: a.What is the null hypothesis? b.Copy and paste the data into the Group 1 and Group 2 data boxes. Do the distributions look different to you? c.Record the p-value of the hypothesis test. How do you interpret this result?
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Isma Jimenez

From the given picture, The test is performed to check whether the two population means are equal or not. a. The null hypothesis is of equality ${H}_{0}:{\mu }_{1}-{\mu }_{2}=0.$ b. The boxplots of group 1 data and group 2 data are given. The central horizontal line inside the box denoted median. If that horizontal line is near to the bottom of the box, then the distribution is positively skewed. If that horizontal line is near to the top of the box, then the distribution is negatively skewed. If the horizontal line is at the centre of the box then the distribution is symmetric(normal). In the boxplot of group 1 , the horizontal line inside the box is at the centre hence the distribution of Group 1 is normal or symmetric. In the boxplot of group 2 , the horizontal line inside the box is near to the bottom of the box hence the distribution of Group 2 is positively skewed. Therefore, the distributions are different for Group 1 and Group 2. c. The P value for the test is 0.0233. Genarally, level of significance g = 0,05. Decision rule : If P value $\le \alpha$ then reject $H\odot$ If $Pvalue>\alpha$ then failed to reject $H\odot$ So, P value is less than $\alpha .\left(0.0233<0.05\right)$ Therefore, we reject $H\odot$ Hence we support $H1$ (alternative hypothesis). That is difference between two population means is not 0 , hence the means of both (Group1 and Group 2) populations are significantly different.