Real Fruit juice: A 32 ounce can of a popular fruit drink claims to contain 20%

Question

Real Fruit juice: A 32 ounce can of a popular fruit drink claims to contain 20% real friut juice. SInce this is a 32 ounce can, they are actually claiming that the can contains 6.4 ounces of real fruit juice. The consumer protection agency samples 60 such cans of this fruit drink. Of these, the mean volume of fruit juice is 6.32 ounces with a standard deviation of 0.21 ounces. Test the claim that the mean amount of real fruit juice in all 32 ounce cans is 6.4 ounces. Test the claim at the 0.01 significance level.

Explanation / Answer

Ho : iu = 6.4

Ha : miu is not 6.4

t = ( 6.32 - 6.4 ) / ( 0.21 / srqt 32 )

t = -2.15

for alpha / 2 = 0.005 df= 31   crticial value are +/- 2.744

since t > -2.744 and t < 2.744 we fail to reject Ho

there is sufficient evidence to say that cans is 6.4 ounces

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