Econ 203 Hmwk 6 - Graded Homework 6 You have submitted this...

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Graded Homework 6 You have submitted this Homework 1 time (including this time). You may submit this Homework a total of 40 times and receive full credit. The first three problems cover inference for two populations assuming equal variances between populations, or case 2 of 3 in the course packet, covering pages 53-55. The last three problems ask you to apply the difference in means test assuming unequal variances; case 3 of three which you can find in your course packet on pages 55-56. For now, we tell you that this is the proper assumption, and hence the proper test to conduct. Before long, we will develop a formal testing procedure which you will use to make this determination on your own. When calculating degrees of freedom, round to the nearest integer, so that 122.6 would be 123 and 198.1 would be 198. (It would be more correct to round down; but this is how Excel's add-in does it, so we do it this way to be consistent with Excel's add-in; otherwise you could get different answers depending on whether you used the add-in or calculated the degrees of freedom yourself and used TDIST.) Question #1 This question is based on example #1 on slide 4 (page 54) of your course packet. Furniture World is a manufacturer of office furniture. They have come out with a new computer desk, and have asked their factory manager for a job design to get it produced. She has narrowed it down to two possibilities; Design A (population 1) , and Design B (population 2) . She gathered samples of 25 for each design type. Data can be found here . You can assume production time variances are equal. Is either design quicker? Note that this question is identical to example #1 on slide 14, page 44 of the course packet. What is the relevant point estimate? .272 = 0.272 What is the value of the test statistic? .9273 = 0.9273
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This test statistic has A standard normal distribution A t distribution A chi-squared distribution What is the p-value for this test? . 35839 = 0.35839 Allowing for a 10% chance of a Type I error, what is your conclusion for this test? Reject the null hypothesis; therefore, there is not enough evidence to conclude that one design is quicker than the other one. Do not reject the null hypothesis; therefore, there is not enough evidence to conclude that one design is quicker than the other one. Do not reject the null hypothesis and conclude that one design is quicker than the other one. Reject the null hypothesis and conclude that one design is quicker than the other one. Construct a 95% confidence interval for the difference in production time between design A and design B. Use the TINV function to get the t-value. For help, look at pages 156 and 157 of the course packet. So, just type =TINV(0.05, d.f.) in excel to get the t-value you need.
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This note was uploaded on 07/23/2010 for the course ECON 203 taught by Professor Petry during the Spring '08 term at University of Illinois at Urbana–Champaign.

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Econ 203 Hmwk 6 - Graded Homework 6 You have submitted this...

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