Question

Suppose that you wish to use a hypothesis test to test a claim made by a juice bottling company regarding the mean amount of juice in its 16 oz bottles. The company claims that the mean amount of juice in its 16 oz bottles is 16 oz, while you suspect the true mean is lower. You obtain n = 15 bottles of juice and find a sample mean of x¯ = 15.42 oz with a sample standard deviation of s = 3.2 oz. Find the p-value for this hypothesis test. Round your answer to 4 decimal places.

Answer 1

Solution :

Given that,

= 15.42 oz

s = 3.2 oz

n = 15

a.) Hypothesis:

H0 :    16

Ha :   16

Test Statistic:

t = ( - ) / (s /n)

t = (15.42 - 16) / ( 3.2/ 15 )

t = -0.702

P - value = 0.2471

decision rule: If P- value 0.05 then reject H0.

P-value > 0.05, we Fail to reject H0.

.There is sufficient evidence to support to claim , that the mean amount of juice in its 16 oz bottles is 16 oz