Question

Top sales executives, Alonzo and Armonte came up with a kiwi/passion fruit
flavor for the “Champorado” Cookie Company. Help them solve the following
chi-square hypothesis tests.
a. Ha: σ < .04, n=40, with a sample standard deviation of .31 and the level of
significance is 1%.
b. Ho:σ2 = 140, Ha: σ2 ≠140, n=20, s2=160 and C.L.=95%

Answer 1

solution:

a)

given information as follows:

sample size = n = 40

sample standard deviation = S =0.31

significance level =

alternative hypothesis

test statistics:

p value = 1

so null hypothesis is not rejected

b)

null and alternative

n=20

rejection region for two tail

or

test statistics:

Since it is observed that it is then concluded that the null hypothesis is not rejected.