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Unformatted text preview: Class Examples For each hypothesis test please provide the following information: (a) State the null and the alternate hypotheses. (b) Identify the sampling distribution to be used: the standard normal distribution or the student’s t distribution. Find the critical values. (c) Sketch the critical region and show the critical value(s) on the sketch. (d) Compute the or t value of the sample test statistic and show its location on the sketch of part (c). (e) Find the P value or an interval containing the P value for the sample test statistic. (f) Based on your answers to parts (a) through (e) decide whether to reject or not reject the null hypothesis at the given significance level. Explain your conclusion in simple non-technical terms. 1. The Smoky Bear Trucking Company claims that the average weight of a fully loaded moving van is 12,000 lb. The highway patrol decides to check this claim. A random sample of 30 Smoky Bear moving vans shows that the average weight is 12,100 lb. with a standard deviation of 800 lb. Construct a hypothesis test to determine whether the average weight of a Smoky Bear moving van is more than 12,000 lb. Use a 5% level of significance. 2. The Magic Dragon Cigarette Company claims that their cigarettes contain an average of only 10 mg of tar. A random sample of 100 Magic Dragon cigarettes shows the average tar content to be 11.5 mg with standard deviation 4.5 mg. Construct a hypothesis test to determine whether the average tar content of Magic Dragon cigarettes exceeds 10 mg. Use a 5% level of significance. 3. Jerry is doing a project for his sociology class in which he tests the claim that the Pleasant View housing project contains family units of average size 3.3 people (the national average). A random sample of 64 families from Pleasant View project shows a sample mean of 4.3 people per family unit with sample standard deviation 1.3. Construct a hypothesis test to determine whether the average size of a family unit in Pleasant View is different from the national average of 3.3. Use a 5% level of significance....
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This note was uploaded on 12/11/2011 for the course STA 3123 taught by Professor Staff during the Fall '08 term at FIU.
- Fall '08
- Normal Distribution