power II. An Indian company manufacturing bank for WIFI routers (rechargeable with 38,400 mAH capacity) is ISO45001:2018 and ISO 9000:2015 certified. The company processes are anchored on those standards; assuring their customers a level of quality that meets their requirements. Thus, before shipping their product, a quality test is undertaken to determine whether or not there is a defect. In a random sample of 400 units, 60 were found defective. Estimate with 99% confidence the true proportion of defective units produced by the company.
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- A national standard requires that public bridges over 20 feet in length must be inspected and rated every 2 years. The rating scale ranges from 0 (poorest rating) to 9 (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the year 2020, the engineers forecast that 6% of all major bridges in that city will have ratings of 4 or below. Complete parts a and b. a. Use the forecast to find the probability that in a random sample of 7 major bridges in the city, at least 3 will have an inspection rating of 4 or below in 2020. P(x≥3)=A state fisheries commission wants to estimate the number of bass caught in a given lake during a season in order to restock the lake with the appropriate number of young fish. The commission could get a fairly accurate assessment of the seasonal catch by extensive “netting sweeps" of the lake before and after a season, but this technique is much too expensive to be done routinely. Therefore, the commission samples a number of lakes and record the seasonal catch (thousands of bass per square mile of lake area) and size of lake (square miles). A simple linear regression was performed and the following R output obtained. Estimate Std. Error t value Pr(>|t|) (Intercept) 2.5463 0.4427 5.7513 0.0000 size 0.0667 0.3672 0.1818 0.8578 If a scatterplot showed a non-linear relationship between the response and explanatory variables, what should be done? O Nothing. Continue the analysis as is. Stop the analysis. Perform a natural log transformation on the response variable first. O Perform a…A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new test are 60% and 70%, respectively. Five hundred people are screened at a clinic during the first year the new test is implemented. Assume the true prevalence of Lyme disease among clinic attendees is 10%. Calculate the predictive value of a positive test.
- Nana AB. supplies a range of computer hardware and software to 2000 schools within a large municipal region of Spain. When Nana AB. won the contract the issue of customer service was considered to be central to the company being successful at the final bidding stage. The company has now requested that its customer service director creates a series of graphical representations of the data to illustrate customer satisfaction with the service. The following data has been collected during the last six months and measures the time to respond to the received complaint (days).52434661563832 87783496745423 5632861281325253 3445213142125321 437662127336712 7889261074782332 2621567891851512 1556452145262134 2812672324432565 238872178547679 The customer service director has analysed this data to create a grouped frequency table and plotted the histogram. From this he made a series of observations regarding the time to respond to customer complaints. He now wishes to extend the analysis to use…In a M/M/1 model, the average number of customers in the system is 16, and the average waiting time in the system (i.e., response time) is 53 minutes. Then, the average service time (in minutes) is 03.3125 03.11769 00.32075 00.30189A company that is selling database management optimization software contacts you to pitch its product. The representative claims that the memory management software will reduce page fault rates for your system. She offers you a 30-day free trial of this software. Before you install it, however, you decide to first determine a baseline for your system. At specific times of the day, you sample and record the page fault rate of your system (using the system’s diagnostic software). You do the same after the software has been installed. How much of an average performance improvement has the new software provided? (Hint: Use the harmonic mean.) The fault rates and times of day are shown in the table below.
- In a population-based cohort study, an entire community was interviewed regarding smoking habits and then followed for one year. Upon ascertainment of all lung cancer deaths, the investigator obtained the following data: Number of Individuals Lung Cancer Deaths Smokers 24,500 15 Nonsmokers 10,500 2 Calculate the risk difference per 100,000 per year. Round to the tenth decimaA statistical program is recommended. Electric power consumption is measured in kilowatt-hours (kWh). The local utility company offers an interrupt program whereby commercial customers that participate receive favorable rates but must agree to cut back consumption if the utility requests them to do so. A certain company cuts back consumption at 12:00 noon Thursday. To assess the savings, the utility must estimate the company's usage without the interrupt. The period of interrupted service was from noon to 8:00 p.m. Data on electric power consumption for the previous 72 hours are available. Time Period 12-4 a.m. 4-8 a.m. (b) Compute 8-12 noon 12-4 p.m. 4-8 p.m. 8-12 midnight 41,310 Time Period 12-4 a.m. 4-8 a.m. 8-12 noon Monday 12-4 p.m. 4-8 p.m. 8-12 midnight 124,299 123,666 113,555 111,717 Seasonal Index 0.3262 0.4484 1.3647 Tuesday 1.6992 (a) Is there a seasonal effect over the 24-hour period? O No, the time series plot indicates a linear trend with no seasonal effect. O Yes, the…PLE collects a variety of data from special studies, many of which are related to the quality of its products. The company collects data about functional test performance of its mowers after assembly; results from the past 30 days are given in the worksheet Mower Test. In addition, many in-process measurements are taken to ensure that manufacturing processes remain in control and can produce according to design specifications. The worksheet Blade Weight shows 350 measurements of blade weights taken from the manufacturing process that produces mower blades during the most recent shift. Elizabeth Burke has asked you to study these data from an analytics perspective. Drawing upon your experience, you have developed a number of questions: For the mower test data, what distribution might be appropriate to model the failure of an individual mower? What fraction of mowers fails the functional performance test using all the mower test data? What is the probability of having x failures in the…
- A group of 10-year-old boys were first ascertained in a camp for diabetic boys. They had their weight measured at baseline and again when they returned to camp 1 year later. Each time, a serum sample was obtained from which a determination of hemoglobin A1c (HgbA1c) was made. HgbA1c (also called glycosylated hemoglobin) is routinely used to monitor compliance with taking insulin injections. Usually, the poorer the compliance, the higher the HgbA1c level will be. The hypothesis is that the level HgbA1c is related to weight. The data in Table 11.28 were obtained. 11.95 Compute a rank correlation between change in weight and change in HgbA1c, each over 1 year. Use this measure to directly test the hypothesis that change in weight over 1 year is related to change in HgbA1c. Report a two-tailed p-value, and provide a 95% confidence interval for the underlying rank correlation.Consider a 3-out-of-4 system comprised of 4 independent components with identical relia bilities. What is the component reliability, to six decimal place accuracy, required to achieve a system reliability of 0.999?Beryllium is an extremely lightweight metal that is used in many industries, such as aerospace and electronics. Long-term exposure to beryllium can cause people to become sensitized. Once an individual is sensitized, continued exposure can result in chronic beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium, workers were categorized by their duration of exposure (in years) and by their disease status (diseased, sensitized, or normal). The results were as follows: Duration of Exposure <1 1 to <5 ≥5 Diseased 14 13 18 Sensitized 11 20 15 Normal 78 140 209 Test the hypothesis of independence. Use the a=0.10 level of significance and the P-value method with the TI-84 Plus calculator. What do you conclude? State the null and alternate hypotheses.