Question

Pls help me!

Question 2 of 3 (4 points)Attempt 1 of 1 How much is in that can? A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can, Following are the amounts measured in a simple random sample of eight cans. 11.96 11.89 12.02 11.80 11.82 12.05 12.06 11.95 to Exce Perform a hypothesis test to determine whether the mean volume is less than 12 ounces. Use the α" 0.10 level of significance and the P-value method with the TI-84 Plus calculator. Part: 0/4 Part 1 of 4 (a) State the appropriate null and alternate hypotheses. Ho Hy: This hypothesis test is a (Choose one) 0' test right-tailed

Answer 1

We have to perform hypothesis test to determine whether the mean volume is less than 12 ounces.

Hypothesis :

$H_0 : \mu = 12$

$H_1 : \mu < 12$ ( claim )

Left tailed test.

Using TI-84,

Enter given sample data in TI-84 { To Enter data press STAT ----> Edit ----> inpute data in L1 }

Now , STAT --- > TESTS ----> Select , T-Test ----> hit Enter.

Input :

Highlight Calculate and hit Enter.

Output :

p-value = 0.07755

Significance level = $\alpha$ = 0.1

P-value is less then $\alpha$ = 0.1

So, reject Null hypothesis.

Conclusion :

There is sufficient evidence to conclude that mean volume is less than 12 ounces.