Lecture 15: Hypothesis Testing with Two Independent Samples and Digital Data Acquisition, Exercises of Electronic Measurement and Instrumentation

Download Lecture 15: Hypothesis Testing with Two Independent Samples and Digital Data Acquisition and more Exercises Electronic Measurement and Instrumentation in PDF only on Docsity! M E 345 Professor John M. Cimbala Lecture 15 Today, we will:  Do an example problem – hypothesis test with two independent samples  Review the pdf module: Digital Data Acquisition, and do some example problems Example: Hypothesis testing Given: [Continuation of previous example] We buy a gadget that is supposed to increase the gas mileage of our car. We take 6 trips without the gadget and 8 trips with the gadget. We do not attempt to pair up the tests. The results: xA (mpg without gadget) xB (mpg with gadget) 25.6 26.2 27.3 27.1 24.2 24.1 28.7 29.2 23.6 24.5 25.1 24.9 26.5 25.8 To do: Determine if there is a statistically significant improvement (increase) in gas mileage. Solution: We did this problem “by hand” in the previous lecture. Today I will show you how to do it in Excel. See Excel spreadsheet on website: Two_samples_t_test_different_n.xls [I also show how to do this problem in Matlab – see website.] We ran 2 more tests with the gadget installed Example: Digital data acquisition Given: The integer 18 (base 10). To do: Write this integer in 8-bit binary format. Solution: Example: Digital data acquisition Given: The integer 0010 0110 (8-bit binary). To do: Write this integer in base 10 format. Solution: Example: Digital data acquisition Given: Two integers in 8-bit binary format: A = 0010 0110 and B = 1000 0100. To do: Add A + B and write the result in base 10 format and in binary format. Solution: