MSE 210 Lab 3 Manual - Spring 2024.pdf

MSE 210 Engineering Measurement and Data Analysis 1/10 Lab 3: Hypothesis testing & Empirical modeling Name:________________________ Student number:_____________ Name:________________________ Student number:_____________ Objectives This lab contains three parts. In the first part, you will conduct hypothesis testing on measured capacitance data. In the second part of this lab, you will employ the paired t -test to investigate the effect of a bias voltage on the capacitance of ceramic capacitors. In the third part, you will collect data on the current- voltage relationship for a thermistor 1 and build empirical models of the device based on your data. Based on the template, which is provided to you on Canvas, a complete lab report (per group) is required. The report should include introduction (stating the motivation and goals/objectives), experimental plan (describing the different parts of the measurement system), results and discussion, and conclusion. The submission of an electronic version on Canvas is due one week after each lab session. 1 A thermistor is a type of resistor whose resistance varies significantly with temperature.

MSE 210 Engineering Measurement and Data Analysis 2/10 1. Inference on the mean 1.a. Data collection 10 nF capacitance data set (for problem 1.b) Copy the capacitance data (10 nF) measured in Lab 2. Otherwise obtain 25 capacitors (10 nF) from the TA, measure the capacitance using your digital multimeter, and record your observations in the table below. Wait for sufficient time for the reading to get stabilized. Find the mean and standard deviation of the measured capacitance. C 1 Capacitance (nF) C 1 Capacitance (nF) C 1 Capacitance (nF) C 1 Capacitance (nF) 1 8 15 22 2 9 16 23 3 10 17 24 4 11 18 25 5 12 19 6 13 20 7 14 21 𝑥𝑥̅ C1 = _____________ s C1 = _____________ 100 nF capacitance data set (for problem 1.c) Copy the capacitance data (100 nF) measured in Lab 2. Otherwise obtain 10 capacitors (100 nF) from the TA, and do the same measurements as in step 1 to find the mean and standard deviation of the measured capacitance. C 2 1 2 3 4 5 6 7 8 9 10 Capacitance 𝑥𝑥̅ C2 = _____________ s C2 = _____________

MSE 210 Engineering Measurement and Data Analysis 3/10 1.b. Large data set The manufacturer claims that C 1 has a mean value of 10 nF and a standard deviation of 5%. Use statistical hypothesis testing to confirm or reject this claim based on your collected data. 1. Parameter of interest: __________________________________ 2. H 0 : __________________________________ 3. H 1 : __________________________________ 4. Test statistic: __________________________________ 5. Reject H 0 if: the P -value is less than 0.05. 6. Computations: 7. Conclusion: __________________________________ What is the 90% confidence interval for mean value of C 1 ? ___________ ≤ μ C 1 ≤ ___________

MSE 210 Engineering Measurement and Data Analysis 4/10 1.c. Small data set Based on the datasheet, C 2 should have a mean value of 100 nF. Use statistical hypothesis testing on the data that you have collected for C 2 to confirm or reject this claim. 1. Parameter of interest: __________________________________ 2. H 0 : __________________________________ 3. H 1 : __________________________________ 4. Test statistic: __________________________________ 5. Reject H 0 if: the P -value is less than 0.05. 6. Computations: 7. Conclusion: __________________________________ What is the 90% confidence interval for mean value of C 2 ? ___________ ≤ μ C2 ≤ ___________

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