For the following hypotheses tests, please do the following: Perform a complete
ID: 3273914 • Letter: F
Question
For the following hypotheses tests, please do the following: Perform a complete hypothesis test using 95% confidence (Don't forget to include all the pieces) Write a brief summary of your analysis that would be suitable for an email to your boss. Here is an example: "We evaluated a random sample of 41 whole chickens received from factory A and 67 whole chickens received from factory B to determine if the whole chickens from factory A had higher quality scores The chickens from factory A had an average quality score of 82 with a standard deviation of 8. The chickens from factory B had an average quality score of 77 with a standard deviation of 9. We used a 2 sample t-test and the results indicate that with 95% confidence we can conclude that factory A produces whole chickens which have higher average quality scores." Problem 3. You believe that a large national retailer has been systematically under filling one of their high volume products. You purchase 12 random boxes and find that the average weight is 14.6 oz instead of 16 ounces as indicated on the product packaging. Your sample had a standard deviation of 1.2 oz. Do you have sufficient evidence to conclude that they are under filling that product? Use 90% confidenceExplanation / Answer
problem 3
we are given that
n = 12 , mean xbar= 14.6 , claimed mean mu = 16 , sd = 1.2
we know that the t stat is calculated
as
(xbar-mu)/sd/sqrt(n)
so putting the values we get
(14.6-16)/(1.2/sqrt(12)) = -4.04
now lets check the t critical at df = n-1 = 12-1 = 11 and alpha = 0.1 , please keep the t tables handy , t critical right tail value is
1.36
as t critcal > t calculated , hence we fail to reject the null hypothesis and we conclude that we do not have enough evidence to conclude that they are underfilling the product
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