MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A machine makes drill bits. When the machine is operating correctly, the variance of the diameter of
drill bits is no more than .04 inches. In a random sample of 81 drill bits, the sample variance was .07.
Test the hypothesis at the 1% level that the machine is operating correctly.
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- Suppose that the City of Chicago is interested in potential revenues if they introduce a tolling station near O'Hare. Further suppose that the average time between cars is only 2.4 seconds; what is the variance of the distribution?arrow_forwardAn electronic company's records show that the mean number of circuit.boards rejected per batch is 5.7 with a variance of 1.4. Due to a change in the molding process, factory management has hired you to perform a hypothesis test to check if the variance, o, has increased. To do so, you test a random sample of 10 batches produced using the new process; the number of circuit boards rejected per batch has a sample variance of 2.5. Under the assumption that the number of circuit boards rejected per batch using the new process follows a normal distribution, you will perform a chi-square test. Find x, the value of the test statistic for your chi-square test. Round your answer to three or more decimal places. * = 0arrow_forwardExperience has shown that a grade in MAT 2371 is normally distributed with mean 66 and variance 64. Assume that the grades are independent of each other. What proportion of the class will get a grade of at least 80? 0,5656 0.0401 0.5871 0.9599 0.4129arrow_forward
- Explain whether homogeneity of variance is satisfied for this analysis, and be clear on how you decided this.arrow_forwardA researcher was interested in knowing if mean BMI was different between males and females. He obtained the following test results. Choose the correct interpretation of the results: F test p value = 0.30 Two sample t test, assume equal variance = 0.02 Two sample t test, assume unequal variance = 0.61 Mean BMI is not significantly different between males and females. None Mean BMI is higher in males than females. Mean BMI is significantly different between males and females.arrow_forwardThe mean square error is the variance plus the bias. True O Falsearrow_forward
- A researcher predicts that smoking cigarettes decreases a person's sense of smell. On a test of olfactory sensitivity (smell), the mean for non-smokers is 18.4. A sample of 12 people who smoke a pack each day have a sample mean of 16.25 (sample variance = 4.75). Complete the following statement: We ["", ""] the null. Smokers have ["", "", ""] in olfactory sensitivity compared to non-smokers.arrow_forwardWhat is the proportion of variance shared between the 2 variables? (How much of the variance in one variable can be predicted by the variance in the other variable?) Provided : mean 1 = 13.6 SD 1 = 2.26 Mean 2 = 102.7, SD= 11.36 Coefficient r = 0.47arrow_forwardHYPERTENSION. The data below was collected from over 200 infants at 1 month of age. In this study a research nurse visited the home of each child and took their blood pressure using a special apparatus for measuring infant bp. She also noted whether the infant was asleep or awake and whether or not the child was agitated when the bp was taken. Assuming equal variances, is there a significant mean difference in SBP between the quiet sleep infants and the awake and quiet infants? 1. What is the appropriate test to conduct in the above situation? 2. What is the degree of freedom? 3. What is the computed test statistic? 4. What is the correct conclusion for this test? 5. What can be implied from the conclusion above?arrow_forward
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