Question

A certain brand of apple juice is supposed to contain 64 ounces of juice. A random sample of 22 bottles of juice had a mean of 63.96 oz. with a standard deviation of .05 oz. Use a 0.10 significance level to test the claim that the mean amount of juice in all bottles is different from 64 ounces. a. State the appropriate null and alternative hypotheses. b. Compute the test statistic. c. Compute the P-value for this test. d. Show decision criteria and state a conclusion.

Answer 1

a) Hypotheses:

b) Test statistic

t = -3.75

c) Degrees of freedom = n - 1 = 64 - 1 = 63

Hence,

p - Value = 2*P(t < -3.75) = 0.0012

d) Since p - value is less than 0.10, we reject Ho. Hence,

There is sufficient evidence to conclude that the mean amount of juice in all bottles is different from 64 ounces.