4.31. Five motors are run to failure. Failure times are632 hours, 3450 hours, 816 hours, 928 hours,and 150 hours. What are the 90% symmetricalconfidence limits for the mean time to failure?Assume an exponential distribution of time tofailure.a. 1051 hours <0 ≤ 1942 hoursb. 847 hours 82650 hoursc. 347 hours <0 2650 hoursd. 653 hours <83033 hours4.32. If a company monitors field reliability using boththree month and yearly MTBF moving averages,a comparison of the averages will generallyshow that the yearly moving averages:a. Are greater than the 3 month valuesb. Are less than the 3 month valuesc. Vary more than the 3 month valuesd. Vary less than the 3 month values4.33. A process which is in statistical control will:a. Produce product to specificationb. Accommodate a plus and minus 1.5 sigmashiftc. Result in a Cp value of 1.0 or betterd. Consistently produce product which will fallwithin statistical control limits4.34. A car collector has 9 cars. How many ways canthis collector rank the top 3 most favored cars?a. 6b. 84c. 504d. 60,4804.35. A randomly selected sample of bicycle helmetswas tested for impact resistance. Given thedata results below, what is the 95% confidenceinterval for the mean bicycle helmet impactresistance?Test results:Sample size: 100 helmetsAverage impact resistance: 276 gStandard deviation of the measurements: 15 ga. 276 ± 29.4 gb. 276 ± 2.47 gc. 276 ± 2.94 gd. 276 ± 2.17 g4.36.a. 0.500b. 0.5914.39.A component follows a Weibull distribution withcharacteristic life (9) of 4,000 hours and shapeof 2.0. What is the expected reliability after2,000 hours of testing?c. 0.779d. 0.8564.37. The distribution to apply to describe the timebetween occurrence of failures which occurindependently and at a constant rate is the:a. Lognormalb. Exponentialc. Weibulld. Extreme value4.38. The hazard rate function of any continuousprobability density function is:a. The reciprocal of the MTBFb. The instantaneous failure ratec. The probability of survival to time td. The measure of safety for a given time periodgreater than zeroa. 95%b. 87%c. 69%d. 63%A population of repairable components (havingan exponential distribution of life) has a MTBFof 100 hours. What fraction of the componentswould fail if the population is operated in a 300hour mission? (Failed components are notreplaced)a.Page4.40. The probability function of the binomialdistribution is:b.C.4d.(1-P) p"(2)₁¹-P P²P(x) = (x)(1-P)** p*(x)(1-P)* p*P(x) =P(x) =P(x) =

4.35) Given: Sample size n=100 Sample mean x¯=276 Sample standard deviation s=15 Confidence level is…

Answered: 4.35. A randomly selected sample of…

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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Given the following: Sample Mean = 84.3 Population Variance = 144 Sample size = 35 a. Calculate a 90% confidence interval for the mean. Interpret this interval. b. Calculate a 99% confidence interval for the mean. c. Explain the relationship between Confidence Levels and the resulting intervals.
900 students were surveyed and had an average GPA of 2.7 with a standard deviation of 0.4. Calculate the margin of error for a 90% confidence level:
A FOOD PROCESSOR WANTS TO COMPARE TWO PRESERVATIVES FOR THEIR EFFECTS ON RETARDING SPOILAGE. SUPPOSE 16 CUTS OF FRESH MEAT ARE TREATED WITH PRESERVATIVE A AND 16 ARE TREATED WITH PRESERVATIVE B, AND THE NUMBER OF HOURS UNTIL SPOILAGE BEGINS IS RECORDED FOR EACH OF THE 32 CUTS OF MEAT. THE RESULTS ARE SUMMARIZED IN THE TABLE BELOW 4.1 4.2 4.3 Sample Mean Sample Standard Deviation Preservative A 108.7 hours t: 10.5 hours Preservative B 98.7 hours 13.6 hours State the null and alternative hypotheses to determine if the average number of hours until spoilage begins differs for the preservatives A and B. Assume population variances are equal. Calculate the pooled variance and the value of the test statistic. Determine the rejection region at a= .05 and write the proper conclusion. Rejection region: Decision: Conclusion:
Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"
Beer Drinking. The mean annual consumption of beer per person in the US is 22.0 gallons . A random sample of 300 Washington D.C. residents yielded a mean annual beer consumption of 27.8 gallons. At the 10% significance level, do the data provide sufficient evidence to conclude that the mean annual consumption of beer per person for the nation’s capital differs from the national mean? Assume that the standard deviation of annual beer consumption for Washington D.C. residents is 55 gallons.
The void volume within a textile fabric affects comfort, flammability, and insulation properties. Permeability of a fabric refers to the accessibility of void space to the flow of a gas or liquid. An article gave summary information on air permeability (cm3/cm2/sec) for a number of different fabric types. Consider the following data on two different types of plain-weave fabric: Fabric Type Sample Size Sample Mean Sample Standard Deviation Cotton 10 51.41 0.75 Triacetate 10 132.15 3.59 Assuming that the porosity distributions for both types of fabric are normal, let's calculate a confidence interval for the difference between true average porosity for the cotton fabric and that for the acetate fabric, using a 95% confidence level. Before the appropriate t critical value can be selected, df must be determined: df = 0.5625 10 + 12.8881 10 2 (0.5625/10)2 9 + (12.8881/10)2 9 = 1.8092 0.1849…
Twelve samples of coal from a Northern Appalachian source had an average mercury content of 0.253 ppm with a standard deviation of 0.029 ppm. Suppose the density of mercury content of coal from this source is approximately normally distributed. a. Find the LOWER bound of a 95% confidence interval for the mean mercury content of coal from this source. b. Find the UPPER bound of a 95% confidence for the mean mercury content of coal from this source.
C. To assess the actual mean weight of apples, a farm manager selected a random sample of 75 apples. He found that the sample mean weight was 126.2 grams with standard deviation 8.7 grams. With what degree of confidence can we say that the confidence limits are (126.2±2.57) grams?
You are trying to determine that average height of females living in New Jersey. To estimate this population mean, you collect a sample of 100 women and the average height of the women sampled was 54.5 inches. Assume the standard deviation of the population is 3 inches. Using a 95% confidence level, determine the following: a. Based on the poll, what is the point estimate of the mean height of female NJ residents? b. Find the margin of error for this sample. c. Construct a confidence interval to estimate the mean height of female NJ residents using a 95% confidence level. d. What sample size would be required to achieve a margin of error of less than 1 inch ?
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1. Find the sample standard deviation from the following data. 1420,1223,988,694,730,836,721,742,541,623,1449,950 2., Construct a 99%confidence interval for the population mean μ.

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