MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- A company manufactures electrical components and today they are producing 220-ohm carbon film resistors. A sample of 8 resistors was taken from the production line and were tested. Below are the measured resistance of the 8 resistors. [220.8, 221.9, 223.2, 219.1, 222.8, 219.2, 219.4, 219.5] Consider the two-sided hypothesis test for the mean resistance: Ho : µ = 220 vs Hj : µ # 220 Calculate the test statistic for the observed data for this hypothesis test. Give your answer to 3 decimal places. Test statistic: to 3 d.p. What is your hypothesis decision given that the manufacturing company is happy with a 5% significance level of the test? Hypothesis Decision: (No answer given) You may use the following quantile values from the Student-t distribution: df 7 8 pt(0.900, df) 1.415 1.397 1.383 pt(0.950, df) 1.895 1.860 1.833 pt(0.975, df) 2.365 2.306 2.262arrow_forwardTest the claim that the mean GPA of night students is larger than 3.3 at the 0.005 significance level.The null and alternative hypothesis would be: H0:μ ≤ 3.3H1:μ > 3.3 Based on a sample of 50 people, the sample mean GPA was 3.34 with a standard deviation of 0.05The test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)arrow_forwardConsider a random sample of size n from a normal distribution with unknown mean u and unknown variance o?. Suppose the sample mean is X and the sample variance is S?. n = 16, the observed sample mean i is 8.9. the observed sample variance s? is 25 and 4o : 10.5. Suppose we now want to test Ho : o? = of versus H1 : o? + of. Which of these test statistics should we use? Select one: (n-1)s? W = of a. O b. Z %3D O c. T= S/n Let o = 36. What is the (appropriate) observed test statistic? Give answer to three decimal places. What is the p-value of the (appropriate) observed test statistic for testing Ho : o? = of versus H1 : o? + of you just computed? Give answer to three decimal places.arrow_forward
- 65 homeless people in San Jose were asked their age. The sample mean age was 33.2 years. Let x be a random variable representing ages of homeless people in San Jose. Assume that x has a normal distribution and o = 7.3 years. Do the data indicate that the mean age of the population of homeless people in San Jose is less than 35 years old? Use a = 0.05. Identify the following in your answer. 1. Identify the null hypothesis Ho and alternate hypotheses H, for the problem. 2. Identify the sample statistic, test statistic, p-value and calculator key used: Sample Statistic (sample mean) (Stated in problem) = Test Statistic (z) (Round to two decimal places) %3D P-value: (Round to four decimal places) = Calculator key used: 3. Identify the significance level and determine if you reject or fail to reject the null hypothesis. significance level = Do you reject or fail to reject Ho ? 4. State your conclusion. Upload your answer. Remember you can only upload one document. Upload Choose a Filearrow_forwardTHE ANSWER IS NOT 2.02!!!!arrow_forwardA marketing researcher would like to compare the mean amounts that men and women spend on Christmas gifts. Independent random samples were taken from each group. He would like to conduct a test to determine if women spend more on average. If the null hypothesis is Ho : µM - µf = 0, what is the alternative hypothesis? ge 2: ge 3: OH1 : µM – HF 0 4 OH1 : µM – HF # 0 Page 5: Next Page Dege 10of15arrow_forward
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