Question

The number of carbohydrates found in a random sample of 14 fast-food entrees has a mean of 44 carbs, standard deviation of 9.2. Is there a sufficient evidence to conclude that the variance differs from an established 100 carbs? Assume the variables are approximately normally distributed. Use the 0.01 level of significance. Include distribution drawing;include all steps. Use Traditional Method for hypothesis testing unless specified otherwise. Use correct rounding rule for final results!

Answer 1

H0: = 100 . Ha:   100

Test statistics

= ( n - 1) S2 /

= ( 14 - 1) * 9.22 / 100

= 11.00

From chi-square table,

Chi square critical values at 0.01 significance level with 13 df = L = 4.107, U = 27.688

Since test statistics falls in non-rejection region,

Fail to reject H0.

We conclude that we does not have sufficient evidence to support the claim that variance differs from 100