# IME 367 Lab Manual 5 (2).docx - Lab5: Setting up a...

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Lab5: Setting up a Hypothesis Test for a Single Sample1)Purpose: The purpose of this lab is to become familiar with hypothesis testing.Thisweek’s lab covers writing hypotheses, determine which distribution to use and findingthe critical values. Hypothesis test for a single sample is used when a sample is beingcompared to a theoretical value.2)Objectives: Upon completion, you will be able to:Set up appropriate testing hypotheses for a single sample.Determine the sampling distribution.Find the Critical Value (CV)Note:Test for meanμ:when the sample size is smaller than 30, and population is normaldistributeduse z test whenσis knownuse t test whenσis unknownwhen the sample size is greater than 30use either z or t testTest for proportion p:use z testTest for variationσ2: when population is normal distributeduse chi square test3)Hypothesis test for the MeanA company claims that the average cost of men’s athletic shoes is less than \$80.Considerthat you are interested in buying a pair of men’s athletic shoes and your goal is to savemoney.If you select a random sample of 36 pairs of athletic shoes from a catalog and findthe following costs (in dollars). (The costs have been rounded to the nearest dollar.)Is thereenough evidence to support the goal of buying a pair for less than \$80 with 90% confidence?a)What does the random variable represent in this scenario?b)Which distribution would be used for analysis?Z or T?Explain your answer.c)Formulate the hypothesis.

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Term
Fall
Professor
N/A
Tags
Null hypothesis, Statistical hypothesis testing