Listed below are body mass indexes BMI for recent Miss Ameri

Listed below are body mass indexes (BMI) for recent Miss America winners. Use a 0.01 significance level to test the claim that recent Miss America winners are from a population with a standard deviation of 1.34, which was the standard deviation of BMI for winners from the 1920s and 1930s.

19.5 20.3 19.6 20.2 17.8 17.9 19.1 18.8 17.6 16.8

State Ho,H1, Test statistic, critical values, P-Value, and Final conclusion

Solution

Given population o= 1.34 => o^2
Ho: o^2=1.7956
Ha: o^2 not equal to 1.7956
The test statistic is
Chisquare =(n-1)*s^2/o^2
=(10-1) *1.407/1.7956
= 7.0522
Given a=0.1, the critical value of chisquare with , df=n-1=9 is 21.67 (from chisquare table)
Since 7.0522 is less than 21.67, we do not reject Ho.
So we can conclude that the variance in the number of patients seen per day equal to 10