Derive a large-sample 95% confidence interval for the maximum ikelihood estimator of u.
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Q: construct a 98% confidence interval for o².
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Q: Suppose that the average time spent per day with digital media several years ago was 3 hours and…
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- The breaking strengths of cables produced by a certain manufacturer have a standard deviation of 93 pounds. A random sample of 70 newly manufactured cables has a mean breaking strength of 1800 pounds. Based on this sample, find a 99% confidence interval for the true mean breaking strength of all cables produced by this manufacturer. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places.During the production of boiler plate, test pieces are subjected to a load, and their elongations are measured. In one particular experiment, five tests will be made, at loads (in MPa) of 11, 37, 54, 70, and 93. The least-squares line will be computed to predict elongation from load. Confidence intervals for the mean elongation will be computed for several different loads. Which of the following intervals will be the widest? Which will be the narrowest? a) The 95% confidence interval for the mean elongation under a load of 53 MPa. b) The 95% confidence interval for the mean elongation under a load of 72 MPa. c) The 95% confidence interval for the mean elongation under a load of 35 MPa.Find the value of tn-1, a needed to construct a 95% upper or lower confidence bound with sample size 7. (Round the final answer to three decimal places.)
- Suppose that the average time spent per day with digital media several years ago was 3 hours and 42 minutes. For last year, a random sample of 20 adults in a certain region spent the numbers of hours per day with digital media given in the accompanying table. Preliminary data analyses indicate that the t-interval procedure can reasonably be applied. Find and interpret a 95% confidence interval for last year's mean time spent per day with digital media by adults of the region. (Note: x=5.49 hr and s=2.20 hr.)In constructing a 98% confidence interval for the mean of a population with variance 25, how large a sample must be used to ensure that the margin of error does not exceed 0.8? Calculation.The average height of all male students in ENG2015 in section A is 5 feet and 9 inches (or 175.26 centimeters). A sample of 18 male is selected, and their heights (in centimeters) are in the table below. Develop a 95% confidence interval to estimate the population mean.
- Does the confidence interval support the claim that the mean impact strength of gears from supplier 2 is at least 25 foot-pounds higher than that of supplier 1?Create a 90% confidence interval for a population mean from a sample of size 19 with sample mean I = 6.9 and sample standard deviation S = 2. [three decimal accuracy] [three decimal accuracy]A cellphone provider has the business objective of wanting to estimate the proportion of subscribers who would upgrade to a new cellphone with improved features if it were made available at a substantially reduced cost. Data are collected from a random sample of 500 subscribers. The results indicate that 115 of the subscribers would upgrade to a new cellphone at a reduced cost. Construct a 99% confidence interval estimate for the population proportion of subscribers that would upgrade to a new cellphone at a reduced cost.
- In a large urban city, it was found that in a sample of 6 months, an average of 28 burglaries occurred each month, with a standard deviation of 4. Construct the 95% confidence interval for the true mean number of burglaries to occur in this city each month.Suppose college football scores are normally distributed with a population standard deviation of 6pts.A statistical research yields to the sample proportion of a certain feature in a certain community be 0.43. Find the required sample size for a maximum margin of error of 0.06 for a 90% confidence interval.
