For the following hypotheses tests, please do the following: Perform a complete

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." 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% confidence.

Explanation / Answer

test results

null hypothesis

µ equal to 16

Alternative Hypothesis:
µ not equal to 16

t Test
Test Statistic, t: -4.0415
Critical t:        ±1.7959
P-Value:           0.0019

90% Confidence interval:
13.97789 < µ < 15.22211

p values less than 0.1

reject null hypothesis

we can concluded that there is evidence that they are not under filling the product

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