Question

Students in a random sample of 57 students measured their handspan. The dot plots display the results for the males and females.

Based on the data, is there a difference between the mean handspan for males and the mean handspan for females? yes/ no



B. They differ by ? MADs, and this is significant.



C. There is more/ less /the same variability with handspan for females and males based on the MAD.

Answer 1

There is a difference in mean hand span between male and female if you notice the difference between their averages. 2cm is quite significant

female mean = 19.6 cm and male mean = 21.6 cm

Explanation:

a.) There is a significant difference.

take P( Z < ( 19.6 - 21.6) / 1) = P(Z < -2) = 2% probability of assuming that male and female means are the same. too low to think like that.

b.) Differ by 2cm. MAD= Mean Absolute Deviation , MAD within their own data set seem similar

C.) The variability in hand spans among male and female are very similar, since they both have the same MAD = 1.0