Empathy: The Interpersonal Reactivity Index is a survey designed to assess four different types of empathy. One type of empathy, called Empathetic Concernmeasures the tendency to feel sympathy and compassion for people who are less fortunate. The index ranges from 0 (less empathetic) to 28 (more empathetThe following data, representing random samples of 11 males and 11 females, are consistent with results reported in psychological studies. Boxplots show thait is reasonable to assume that the populations are approximately normal. Can you conclude that the mean empathy score for men is less than the meanempathy score for women? Let μ₁ denote the mean empathy score for males and μ₂ denote the mean empathy score for females. Use the a=0.01 level andthe critical value method with the table.12 16 13 26 21 23 8 1518 25 15Males21 23 1526 25 28 24 16 19 20 23FemalesPart 1 of 6Send data to ExcelState the appropriate null and alternate hypotheses.H₁ | M₁ = μ₂H₁ :|µ₁ <µ₂This is a left-tailedtest.O How many degrees of freedom are there, using the simple method?The degrees of freedom using the simple method is 0.027Part 3 of 6Find the critical value(s). Round the answer to at least three decimal places. If there is more than one critical value, separate them with commas.Critical value(s):Part 4 of 60,0,...Part 5 of 6Compute the test statistic. Round the answer to three decimal places.ŚŚDetermine whether to reject Ho.(Choose one) the null hypothesis Ho.x×.5

From the information, given thatLet µ1 denotes the mean empathy scores for malesLet µ2 denotes the…

How many degrees of freedom are there, using the simple method? The degrees of freedom using the simple method is 0.027 Part 3 of 6 Part 4 of 6 Find the critical value(s). Round the answer to at least three decimal places. If there is more than one critical value, separate them with commas. Critical value(s): t= 00. Compute the test statistic. Round the answer to three decimal places. Part 5 of 6 X X Determine whether to reject Ho. (Choose one) ▼ the null hypothesis Ho. S