5. A manufacturer claims that the mean tensile strength of thread A exceeds the averagetensile strength of thread B. To test his claim, 10 sample pieces of each type of thread aretested under similar conditions. Type A thread had a sample average tensile strength of 175kilograms with a standard deviation of 4 kilograms, while type B thread had a sample averagetensile strength of 165 kilograms with a standard of 5 kilograms. Assume that both populationsare normally distributed and the variances are equal. Use a=0.05.(a) Is there evidence to support the claim? Use critical region(s) for testing.(b) Calculate the P-value for the above test in part (a) and make a conclusion on the test.(c) Construct an appropriate 95% bound for the difference in mean tensile strength betweentype A and type B, that is µA – H; to test the hypothesis.(d) Test a claim that the mean tensile strength of type A thread would be at least 15 kilogramshigher than that of type B thread by using p-value.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A test is conducted for equality of two population means assuming equal population standard deviation. The square root of sum of squared deviations of data 1 and data 2 from their respective sample central tendencies are calculated as 20.23 and 19.83. If the sample variance used in test statistics is 34.89, what critical value is used in this test?
A study was conducted by a group of neurosurgeons. They compared a dynamic system (Z-plate) and a static system (ALPS plate) in terms of the number of acute postoperative days in the hospital spent by the patients. The descriptive statistics for these data are as follows: for 14 patients with dynamic system, the sample mean number of acute postoperative days was 7.36 with standard deviation of 1.22; for 6 patients with static system the sample mean number of acute postoperative days was 10.5 with sample standard deviation of 4.59. Assume that the numbers of acute postoperative days in both populations are normally distributed. We wish to estimate µ1 − µ2 with a 99 percent confidence interval. Can you assume unknown population variance are equal. a. Degrees of freedom and t-value are b. Margin of error and confidence interval are c. Based on your interval in part (b), we can state with 99 percent confidence that the average numbers of acute postoperative days in two populations i.…
A coin-operated drink machine was designed to discharge a mean of 8 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 17 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 8.02 fluid ounces and 0.18 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, μ , differs from 8 fluid ounces? Use the 0.05 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal…
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An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 250 engines and the mean pressure was 5.9 Ibs/square inch. Assume the variance is known to be 0.36. If the valve was designed to produce a mean pressure of 5.8 lbs/square inch, is there sufficient evidence at the 0.02 level that the valve performs above the specifications? State the null and alternative hypotheses for the above scenario. 国 Tables E Keypad Answer Keyboard Shortcuts еурad Ho: X土S2 b ce v VI

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