Statistics help: Null and Alternative Hypotheses
In an attempt to improve quality many manufacturers are developing partnerships with their suppliers. A local fast food burger outfit has partnered with its supplier of potatoes. The burger outfit buys potatoes in bags that weigh 20 lbs. It does not wish to accept underweight bags of potatoes. A sample of 40 bags shows an average weight of 19.95 lbs with a standard deviation of 0.1 lbs.
a. Set up the null and alternative hypotheses to test if the average bag weighs at least 20lbs.
b. Test your hypotheses using alpha = 0.05
c. Find the p value
d. Based on the p value, should the burger outfit accept the shipment of potatoes?
https://brainmass.com/statistics/hypothesis-testing/statistics-help-null-alternative-hypotheses-8070
Solution Preview
Please see the attached file.
The sample mean ( ) = 19.95 lbs.
The standard deviation (s) of the sample of 40 bags = 0.1 lbs.
Since there are more than 30 units in the sample we can use z-statistics (normal distribution) for this problem.
A.
H0: μ 20
Ha: μ < 20
B.
α = P(type ...
Solution Summary
This solution sets up and tests null and alternative hypotheses for a manufacturer developing a partnership with a supplier.
Free BrainMass Quizzes
-
Tests knowledge of the three main measures of central tendency, including some simple calculation questions.
-
Know Your Statistical Concepts
Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.
-
This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.
-
Terms and Definitions for Statistics
This quiz covers basic terms and definitions of statistics.