Find a 61% confidence interval for the true average temperature of the sub's reactor.
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The temperature of the reactor in a nuclear submarine is
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- According to a poll, a shopper spends an average of 45 minutes at the supermarket for each trip, with a standard deviation of 12 minutes. The variable x represents the duration of time spent in the shop, which is normally distributed. A customer walks inside the business. Determine the likelihood that the consumer will spend between 25 and 55 minutes in the store.The average height of 20 students in a class is 160 cm with a standard deviation of 10 cm. If a new student with a height of 180 cm joins the class, what will be the new average height?The lifetimes of a certain brand of battery are assumed to be normally distributed with a mean of 405 hours. Find the standard deviation of these battery lifetimes, if 90% of these batteries do not achieve a lifetime of 411 hours.
- Polychlorinated biphenyl (PCB) is an organic pollutant that can be found in electrical equipment. A certain kind of small capacitor contains PCB with a mean of 47.7 ppm (parts per million) and a standard deviation of 8 ppm. A governmental agency takes a random sample of 37 of these small capacitors. The agency plans to regulate the disposal of such capacitors if the sample mean amount of PCB is 49.5 ppm or more. Find the probability that the disposal of such capacitors will be regulated. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. XAssume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 adults, how many consume at least 320 mg of caffeine daily?According to the historical data, the life expectancy in Belgium is less than the life expectancy in the United States. A new study has been made to see whether this has changed. Records of 260 individuals from Belgium who died recently are selected at random. The 260 individuals lived a mean of 78.4 years with a standard deviation of 8.8 years. Records of 285 individuals from the United States who died recently are selected at random and independently. The 285 Individuals lived a mean of 76.5 years with a standard deviation of 7.4 years. Assume that the population standard deviations of lifetimes in these two countries can be estimated by the sample standard deviations, as the samples used were quite large. Construct a 95% confidence interval for ₁-₂, the difference between the life expectancy μ₁ in Belgium and the life expectancy μ₂ in the United States. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three…
- Records indicate that the mean weight of mature rainbow trout in Eagle Creek is 1.75 kg with a standard deviation of 0.33 kg. After years of marked oxygen depletion from pollutants in the creek, a biologist wants to see if the standard deviation, o, of weights has changed. The biologist measures the weights of 20 randomly chosen mature rainbow trout from the creek and finds that the sample standard deviation is 0.38 kg. Assume the current weights of mature rainbow trout in the creek follow a normal distribution. Does the biologist have sufficient evidence to conclude that the population standard deviation, o, differs from 0.33 kg? To answer, complete the parts below to perform a hypothesis test. Use the 0.10 level of significance.The null hypothesis: H, :0 The alternative hypothesis: H :0 The type of test statistic: (Choose one) v The value of the test statistic: (Round to at least three decimal places.) The critical value at the 0.05 level of significance: (Round to at least three decimal places.) Can we support the claim that the life expectancy in the United States is greater than the life expectancy in Ireland? O Yes NoAccording to the historical data, the life expectancy in the United States is less than or equal to the life expectancy in Ireland. A new study has been made to see whether this has changed. Records of 235 individuals from the United States who died recently are selected at random. The 235 individuals lived an average of 77.6 years with a standard deviation of 6.7 years. Records of 220 individuals from Ireland who died recently are selected at random and independently. The 220 individuals lived an average of 76.3 years with a standard deviation of 5.5 years. Assume that the population standard deviations of the life expectancies can be estimated by the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.1 level of significance, is there enough evidence to support the claim that the life expectancy, u,, in the United States is greater than the life expectancy, µ, in Ireland? Perform a one-tailed test. Then fill in the table below. Carry…
- A cell phone manufacturer has hired you to estimate the population mean of the battery lifetimes for all phones of their latest model. You decide to measure battery lifetime by recording the time it takes for the battery charge to run out while a tester is streaming videos on the phones continuously. Then you select a random sample of 45 cell phones of the manufacturer's latest model and record their battery lifetimes. Assume that the population standard deviation of the battery lifetimes for that cell phone model (using your method of measurement) is 2.42 hours. Based on your sample, follow the steps below to construct a 95% confidence interval for the population mean of the battery lifetimes for all phones of the manufacturer's latest model. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from your random sample of 45 phones of the manufacturer's latest model. Take Sample Sample size: 0 Number of phones Point estimate: 0 45 Sample mean…The IQ’s of 120 applicants for an apprenticeship are approximately normally distributed with a mean of 110 and a standard deviation of 11. If the apprenticeship program requires at least an IQ of 100, how many of these students will be rejected regardless of other qualifications?A random sample of 42 KU college students gave a mean age of their vehicles of 11.3 years and a standard deviation of 3.4 years. A separate random sample of 38 KU college employees gave a mean vehicle age of 9.2 years with a standard deviation of 3.1 years. Find a 90% confidence interval for the difference in the population mean of vehicle ages between students and employees, u1-u2. Use students as the first population.