Folgers has specified that the average amount of coffee that goes intoo one of their small coffeecans is not exceed 13ounces. a quality control inspector for folgers takes a random sample of 9 cans and found the average to be 13.24 ounces with a variance of .16 ounces^2

If we compare the p value and the significance level given assumed we see that so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not significantly higher than 13 for this case.

Step-by-step explanation:

Data given and notation      

represent the sample mean

represent the standard deviation for the sample    

sample size      

represent the value that we want to test    

represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)      

represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the true mean is lower than 13 or not, the system of hypothesis would be:      

Null hypothesis:      

Alternative hypothesis:      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

(1)      

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic      

We can replace in formula (1) the info given like this:      

Calculate the P-value      

First we need to calculate the degrees of freedom given by:  

Since is a one-side upper test the p value would be:      

Conclusion      

If we compare the p value and the significance level given assumed we see that so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not significantly higher than 13 for this case.

the correct answer is d

hope this