. Question 5 - Version C The yield of apples from apple trees is normally distributed. A farmer knows that she will be a

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Question 5 Version C The Yield Of Apples From Apple Trees Is Normally Distributed A Farmer Knows That She Will Be A 1 (104.4 KiB) Viewed 19 times

. Question 5 - Version C The yield of apples from apple trees is normally distributed. A farmer knows that she will be able to fulfill all her orders if the average yield from her apple trees is greater than 115 kilograms, and so wants to test that hypothesis. The farmer observed a simple random sample of 25 trees from her orchard and found the mean yield was 119 kilograms with a sample standard deviation of 14 kilograms. The level of significance (alpha) used for this problem is 0.05. [20 pts] a) State the pair of hypotheses using proper notation and mathematical symbols for testing the farmer's test as stated above. [4 pts] b) What are the assumptions required to be valid for the hypothesis test to be valid? Note: When making a statement involving the random variable, it must be put in actual context and be specific. [3pts] c) What is the appropriate test statistic? Show work that includes the appropriate formula and how the values provided fit into that formula. Give your final answer an appropriate label. [4 pts] d) Find/calculate the P-value for this hypothesis test. If using the calculator, show full calculator syntax. If using another method, describe your process. [3 pts] e) What is the decision (Reject Ho or Fail to Reject Ho (Retain Ho)? Give full supporting statistical reasoning to your decision by comparing the two appropriate values necessary. [2 pts] f) Give the statistical and real-world conclusions corresponding this hypothesis test and put in context to the random variable involved. [4 pts]