Question

The length of odontoblasts (cells responsible for tooth growth) is recorded for 10 guinea pigs treated with orange juice and 10 guinea pigs treated with ascorbic acid. The results are shown below:

Orange Juice : 15.2, 21.5, 17.6, 9.7, 14.5, 10.0, 8.2, 9.4, 16.5, 9.7    ( n o = 10 , x ¯ o = 13.23 , s o = 4.46 )

Ascorbic Acid : 4.2, 11.5, 7.3, 5.8, 6.4, 10.0, 11.2, 11.2, 5.2, 7.0   

a. Assume the samples are approximately normal (do not waste time checking this assumption).

Find the test statistic for this variance test.

b. Find the p-value for the variance test.

c. When conducted at a significance level of 0.05, what is the conclusion of this variance test and the reason it was made?

d. Write the inference for the variance test.

Answer 1