The lifetime of an electronic device is modeled as an exponential random variable. If 16% of the devices have a mean of 20,000 hours and the remaining devices have a mean of 50,000 hours, what proportion of the devices will fail before 60,000 hours?
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The lifetime of an electronic device is modeled as an exponential random variable. If 16% of the devices have a
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- About 7% of the population has a particular genetic mutation. 100 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 100. (Round to 2 decimal places if possible.)In a statistics class, students took their pulses before and after being frightened. The frightening event was having the teacher scream and run from one side of the room to the other. The pulse rates (beats per minute) of the women before and after the scream were obtained separately and are shown in the accompanying table. Treat this as though it were a random sample of female community college students. Test the hypothesis that the mean of college women's pulse rates is higher after a fright, using a significance level of 0.05. E Click the icon to view the table of pulse rates before and after the scream. Step 1: Hypothesize Let Hpefore be the population mean number of beats per minute before the scream, and let uafter be the population mean number of beats per minute after the scream. Determine the hypotheses for this test. Use Hdifference = Hpefore - Hafter Choose the correct answer below. O A. Ho: Hdifference>0 O B. Ho: Hdifference *0 1 Data Table Ha: Hdifference =0 Ha:…section 8.2 The mean weight of an adult is 60 kilograms with a variance of 100. If 118 adults are randomly selected, what is the probability that the sample mean would be less than 62.2 kilograms? Round your answer to four decimal places.
- Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is a random variable representing temperature (°F). x 19.8 15.3 20.4 18.1 16.2 15.5 14.7 17.1 y 89.4 73.2 95.3 86.1 78.8 75.2 69.7 82.0 x 15.4 16.2 15.0 17.2 16.0 17.0 14.4 y 69.4 83.3 79.6 82.6 80.6 83.5 76.3 (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r = (c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and…cording to a job website, each job opening on average attracted 251 résumés in 2016. The job market improved in 2017 compared to 2016, which means that more people will likely be switching jobs but also fewer nemploved workers remain in the job market. To find out which trend is stronger, a random sample of 20 employers in a region was taken. Each employer reported how many résumés they received in 2017 for each b opening. Their answers are shown in the accompanying table. Using a = 0.10, complete parts a through d. Click the icon to view the data on résumés received, a. State the null and alternative hypotheses. Determine the null hypothesis, Ho, and the alternative hypothesis, H,. Job Opening Data Ho: H = 251 * 251 210 208 (Type integers or decimals. Do not round.) 219 251 b. Does this sample provide enough evidence to suggest that the number of résumés that were received in 2017 has 207 185 270 220 Identify the critical value. 283 225 205 232 217 206 (Round to two decimal places as…a population proportion of 0.61. Suppose a random sample of 662 items is sampled randomly from this population
- The 2012 National Survey on Drug Use and Health estimated that 25% of canadians agd 12 or over reported binge drinking in the past month. Find the odds of binge drinkingApproximately 8% of males experience red-green color blindness. Suppose a random sample of 200 men is chosen.The price of a share of stock divided by the company's estimated future earnings per share is called the P/E ratio. High P/E ratios usually indicate "growth" stocks, or maybe stocks that are simply overpriced. Low P/E ratios indicate "value" stocks or bargain stocks. A random sample of 51 of the largest companies in the United States gave the following P/E ratiost. 9 20 11 35 19 13 15 21 29 53 16 26 21 14 21 27 10 12 47 14 40 18 60 72 33 14 8 49 5 16 8 19 12 31 67 51 26 18 17 20 19 13 25 23 27 44 20 27 19 18 32 (a) Use a calculator with mean and sample standard deviation keys to find the sample mean x and sample standard deviation s. (Round your answers to one decimal place.) (b) Find a 90% confidence interval for the P/E population mean u of all large U.S. companies. (Round your answers to one decimal place.) lower limit upper limit (c) Find a 99% confidence interval for the P/E population mean u of all large U.S. companies. (Round your answers to one decimal place.) lower limit upper…
