Question

Question 2 of 10 (6 points) | Attempt 1 of 1 | View question in a popup 2h 57m Remaining 11.1 Section Exercise 17 (critical value, table) ol. JO Empathy: The Interpersonal Reactivity Index is a survey designed to assess four different types of empathy. One type of empathy, called Empathetic Concern, measures the tendency to feel sympathy and compassion for people who are less fortunate. The index ranges from 0 (less empathetic) to 28 (more empathetic). The following data, representing random samples of 14 males and 14 females, are consistent with results reported in psychological studies. Boxplots show that it is reasonable to assume that the populations are approximately normal. Can you conclude that there is a difference in mean empathy score between men and women? Let u, denote the mean empathy score for males and uz denote the mean empathy score for females. Use the a=0.01 level and the critical value method with the table. Males 16 13 26 21 23 8 15 18 13 2012 23 17 22 Females 26 25 28 24 16 19 20 23 15 26 19 25 22 20 Send data to Excel Part: 0 / 6

Answer 1

Run Anova single factor analysis to find whether there is mean difference exists between male and female

Run a Anova single factor analysis in excel followed by below procedures:

1. Go to data tab --> data analysis --> choose Anova single factor

с E Anova: Single Factor ? х Input Input Range: OK $A$1:$B$15 Cancel Grouped By: O Columns O Rows Help Labels in first row Alpha: 0.01 A 1 Males 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 B Females 16 26 13 25 26 28 21 24 23 16 8 19 15 20 18 23 13 15 20 26 12 19 23 25 17 22 22 20 Output options O Output Range: $D$6 1 O New Worksheet Ply: O New Workbook

Result:

с D E F G H J K L Anova: Single Factor A 1 Males 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 B Females 16 26 13 25 26 28 21 24 23 16 8 19 15 20 18 23 13 15 20 26 12 19 23 25 17 22 22 20 SUMMARY Groups Males Females Count 14 Sum 247 308 Average 17.64 22.00 Variance 26.25 15.54 14 MS F ANOVA Source of Variation Between Groups Within Groups SS 132.89 543.21 df 1.00 P-value 0.02 F crit 7.721 6.36 132.89 20.89 26.00 Total 676.11 27

P-value = 0.02

Conclusion:

P-value > α: The differences between the means are not statistically significant

If the p-value is greater than the significance level, you do not have enough evidence to reject the null hypothesis that the population means are all equal.