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Use the following information for Questions 1-3: At Regan's Tomato Heaven Farm, the yield per acre,...

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Basic Math

Use the following information for Questions 1-3: At Regan'sTomato Heaven Farm, the yield per acre, measured in bushels oftomatoes, is known to follow a Normal Distribution with variance ?2= 225.

1. A random sample is obtained with the following results:

n=16.

Sample mean X-Bar: 56.

Provide a test of null hypothesis H0: ? = 48 versus thealternative hypothesis HA: ? ? 48 with ? = 0.05.

a. Calculated Z-Score =

b. Z-Critical =

c. Conclusion (Reject H0/Fail to Reject H0)

3. Another random sample is obtained with the followingresults:

n=36.

Regan would like to conduct a test of null hypothesis H0: ? = 55versus the alternative hypothesis HA: ? < 55 with ? = 0.01

a. Z-Critical =

b. X-Bar Critical. That is, at what value of X-Bar woud youreject H0:

Answer & Explanation Solved by verified expert
4.2 Ratings (738 Votes)
SolutionGiven At Regans Tomato Heaven Farm the yield per acremeasured in bushels of tomatoes is known to follow a NormalDistribution with variance 2 225Thus Question 1Sample Size n 16Sample mean The null hypothesis H0 48 versus the alternative    See Answer
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