24. A supplier sells synthetic fibers to a manufacturing company. A simple random sample of 81 fibers is selected from a shipment. The average breaking strength of these is 29 lb, and the standard deviation is 9 lb. The number of fibers that must be sampled so that a 99%confidence interval specifies the mean to within ±1 lb is nearly ___________.
24. A supplier sells synthetic fibers to a manufacturing company. A simple random sample of 81...
In a sample of 100 steel wires the average breaking strength is 50 kN, with a standard deviation of 2 kN. How many wires must be sampled so that a 95% confidence interval specifies the mean breaking strength to within ±0.3 kN?
A simple random sample of electronic components will be selected to test for the mean lifetime in hours. Assume that component lifetimes are normally distributed with population standard deviation of 30 hours. How many components must be sampled so that a 99% confidence interval will have margin of error of 2 hours?
In a destructive test of product quality, a briefcase manufacturer places each of a simple random sample of the day’s production in a viselike device and measures how many pounds it takes to crush the case. From past experience, the standard deviation has been found to be 21.5pounds. For 35 cases randomly selected from today’s production, the average breaking strength was 341.0 pounds. The lower confidence limit of 99% confidence interval for the mean breaking strength of the briefcases produced...
Before any order is shipped, inspectors at Alvarez Manufacturing test a sample of finished units for breaking strength. You select a simple random sample of 16 units from a recently completed order and find that the sample average breaking strength is 799 pounds. Because you do not know the population standard deviation, you calculate a sample standard deviation of the breaking strengths of 29 pounds. Assume that the population is normally distributed. Construct a 99% confidence interval estimate of the...
5) In a simple random sample of 59 electronic components produced by a certain method, the mean lifetime was 1,114 hours. Assume the component lifetimes are normally distributed with population standard deviation 55 hours. What is the upper bound of the 95% confidence interval for the mean lifetime of the components? Round to nearest integer. 6) Efficiency experts study the processes used to manufacture items in order to make them as efficient as possible. One of the steps used to...
9. A simple random sample of 37 weights of pennies made after 1983 has a sample mean of 2.4991 g and a known population standard deviation of 0.0165 g. a. Construct a 99% confidence interval estimate of the mean weight of all such pennies. b. Design specifications require a population mean of 2.5 g. What does the confidence interval suggest about the manufacturing process? 10. A random sample of 40 students has a mean annual earnings of $3120 and a...
7 mark QUESTION 24. The breaking strength of a random sample of 20 bundles of wool fibres have a sample mean of 416.5 (Mpa) and standard deviation 12.9 (Mpa). Construct 90% two-sided confidence interval for the breaking strength population mean in Mpa. Assume that the population is normally distributed. a) [415.38, 417.62] b) [411.7, 421.25] c) [411.51, 421.49] d) [00 421.25]: e) None of the above.
Using the simple random sample of weights of women from a data set, we obtain these sample statistics nm50 and x 140.09 lb. Research from other sources suggests population of weights of women has a standard deviation given by a 32.44 lb. a. Find the best point estimate of the mean weight of all women b. Find a 99% confidence interval estimate of the mean weight of all women. Ih a. The best point estimate is (Type an integer or...
Question 7 (4.2 points) A simple random sample of electronic components will be selected to test for the mean lifetime in hours. Assume that component lifetimes are normally distributed with population standard deviation of 20 hours. How many components must be sampled so that a 99% confidence interval will have margin of error of 6 hours? Write only an integer as your answer. Question 8 (5 points) Six measurements were made of the mineral content (in percent) of spinach, with...
A simple random sample with n = 56 provided a sample mean of 23.5 and a sample standard deviation of 4.7. a. Develop a 90% confidence interval for the population mean (to 1 decimal). ( , ) b. Develop a 95% confidence interval for the population mean (to 1 decimal). ( , ) c. Develop a 99% confidence interval for the population mean (to 1 decimal). ( , )