Real Fruit Juice (Raw Data, Software Required): A 32 ounce can of a popular frui

Question

Real Fruit Juice (Raw Data, Software Required):
A 32 ounce can of a popular fruit drink claims to contain 20% real fruit 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 30 such cans of this fruit drink. The amount of real fruit juice in each can is given in the table below. Test the claim that the mean amount of real fruit juice in all 32 ounce cans is 6.4 ounces. Test this claim at the 0.05 significance level.

This is a right-tailed test.This is a left-tailed test.    This is a two-tailed test.

x

reject H0fail to reject H0    

There is enough data to justify rejection of the claim that the mean amount of real fruit juice in all 32 ounce cans is 6.4 ounces.There is not enough data to justify rejection of the claim that the mean amount of real fruit juice in all 32 ounce cans is 6.4 ounces.    We have proven that the mean amount of real fruit juice in all 32 ounce cans is 6.4 ounces.We have proven that the mean amount of real fruit juice in all 32 ounce cans is not 6.4 ounces.

DATA ( n = 30 )
Real Juice

(a) What type of test is this?

This is a right-tailed test.This is a left-tailed test.    This is a two-tailed test.

(b) What is the test statistic? Round your answer to 2 decimal places.
t

x

=  

(c) Use software to get the P-value of the test statistic. Round to 4 decimal places.
P-value =  

(d) What is the conclusion regarding the null hypothesis?

reject H0fail to reject H0    

(e) Choose the appropriate concluding statement.

There is enough data to justify rejection of the claim that the mean amount of real fruit juice in all 32 ounce cans is 6.4 ounces.There is not enough data to justify rejection of the claim that the mean amount of real fruit juice in all 32 ounce cans is 6.4 ounces.    We have proven that the mean amount of real fruit juice in all 32 ounce cans is 6.4 ounces.We have proven that the mean amount of real fruit juice in all 32 ounce cans is not 6.4 ounces.

DATA ( n = 30 )
Real Juice

ounces    6.36 6.59 6.60 6.43 6.31 6.06 6.33 6.10 6.15 6.09 6.55 6.06 6.55 6.05 6.69 6.38 6.58 6.50 6.01 6.16 6.27 6.31 5.84 6.63 5.76 6.75 6.50 6.80 6.36 6.30

Explanation / Answer

This is a two-tailed test.

std error =std deviation/(n)1/2 =0.0486

test stat =(X-mean)/std error =(6.3357-6.4)/0.0486 = 1.3232

p value =0.1961

d)fail to reject H0   

e)There is not enough data to justify rejection of the claim that the mean amount of real fruit juice in all 32 ounce cans is 6.4 ounces

ounces 6.36 6.59 6.6 6.43 6.31 6.06 6.33 6.1 6.15 6.09 6.55 6.06 6.55 6.05 6.69 6.38 6.58 6.5 6.01 6.16 6.27 6.31 5.84 6.63 5.76 6.75 6.5 6.8 6.36 6.3 mean 6.3357 std deviation 0.2663

Related Questions

Navigate

• Browse (All)
• Browse R
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.