Filling boxes with consistent amounts of its cereals is criticalto General Mills's success. The filling variance for boxes of CountChocula cereal is designed to be 0.02 ounces2 or less. Asample of 31 boxes of Count Chocula shows a sample standarddeviation of 0.16 ounces. Use ? = 0.05 to determinewhether the variance in the cereal box fillings is exceeding thedesign specification.
A) State the null and alternative hypotheses.
a) H0: ?2 =0.02
Ha: ?2 ?0.02
b) H0: ?2 <0.02
Ha: ?2 ?0.02
c) H0: ?2 ?0.02
Ha: ?2 <0.02
d) H0: ?2 ?0.02
Ha: ?2 >0.02
e) H0: ?2 >0.02
Ha: ?2 ?0.02
B) Find the value of the test statistic.
test statistic=
Find the p-value. (Round your answer to four decimalplaces.)
p-value =
State your conclusion.
Reject H0. The population variance doesappear to be exceeding the standard.
Reject H0. The population variance does notappear to be exceeding the standard.   Â
Do not reject H0. The population variancedoes appear to be exceeding the standard.
Do not reject H0. The population variancedoes not appear to be exceeding the standard
