A study of the sodium content in a 6fluid ounce serving of a

A study of the sodium content in a 6-fluid ounce serving of a soft drink is conducted. It is thought that the variance in the sodium content in colas is greater than that of ginger ales. The following summary statistics are obtained on various types of ginger ales and cola. drinks Cola Ginger ale mc 9.915 9.376 5.114 SG 3.301 sc Does the data support the claim at the a 0.05 level? (a) at are the hypotheses? (b) Calculate the test statistic: (c) What is the critical value of the test d) at is your decision about the null hypothesis

Solution

H0: Var I = Var II

Ha: VarI > varII

Right tailed test for comparison of variances.

b) Test statistic F = s1^2/s2^2 = 2.400

c) critical value = 3.23

d) df = 8 and 9

p value = 0.1070

As p value is >0.05 accept null hypothesis

It is statistically evident that two variances are equal.