A sample of the length in inches for newborns is given below. Assume that lengths are...
A random sample of 36 rainbow trout caught at Brainard Lake in Colorado has a mean length of 11.9 inches with a standard deviation of 2.8 inches. Assuming that the lengths of rainbow trout in this lake are normally distributed, find a 98% confidence interval for the population mean length of all rainbow trout in this lake. Round answers to the nearest hundredth.
iv) A machine is set to produce nails of length 20 mm. A random sample of 12 nails was taken for quality control purposes. The lengths of the nails were measured and the lengths (in mm) are listed below. 20.3, 19.8, 20.1, 20.4, 20.2, 20.1, 19.9, 20.1, 20.3, 20.1, 19.9, 20.2 a) Assume a nail is equally likely to be longer or shorter than 20 mm. What distribution could be used to model the number of nails longer than 20...
5. Forearm lengths of men, measured from the elbow to the middle fingertip, are normally distributed with a mean 18.8 inches and a standard deviation 1.1 inches. If I man is randomly selected, what is the probability that his forearm length is below 17 inches? 27) What are the parameters? a. Find the z-score, and construct the standard normal distribution density curve, then b. shade your seeking area. Find the probability. c. 5. Forearm lengths of men, measured from the...
A test on a random sample of 26 tricornes (i.e., pirate hats) yielded a sample average length of 23 inches and a sample standard deviation of 1.5 inches. Assume that tricorne length is normally distributed. How many total samples are needed to construct a 95% confidence interval that differs from the sample mean by at most 0.5 inches?
A random sample of 10 funnel-eared bats yields a mean length of 4.8 cm. Lengths of these bats are known to be Normally distributed with standard deviation 1.2 cm. The upper end of the 90% confidence interval for the mean length of all funnel-eared bats is: (round to 1 decimal place)
can u clearly show me how to find a sample size (N) , A2, and can you also tell me why we are using an X Chart? Problem 1 A restaurant wants to control kitchen preparation time of dinner meals using an X chart. The process standard deviation is unknown. Each evening a manager takes a random sample of 14 dinner orders and measures and records their kitchen preparation time. Create an X Chart using data in the table below...
A machine produces parts with lengths that are normally distributed with σ = 0.55. A sample of 14 parts has a mean length of 76.75. (a) Give a point estimate for μ. (Give your answer correct to two decimal places.) (b) Find the 95% confidence maximum error of estimate for μ. (Give your answer correct to three decimal places.) (c) Find the 95% confidence interval for μ. (Give your answer correct to three decimal places.) Lower Limit Upper Limit
The lengths of lumber a machine cuts are normally distributed with a mean of 89 inches and a standard deviation of 0.3 inches. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 89.11 inches? The probability is _____? (Round to four decimal places as needed.) (b) A sample of 42 boards is randomly selected. What is the probability that their mean length is greater than 89.11 inches? The probability is...
Suppose in a popular fishing lake, 10 largemouth bass are caught, and each of their lengths (in inches) are recorded below: Length Fish #1 #2 3 #4 #5 #6 7 #8 #9 #10 ches, 17.1 15.0 15.8 15.2 17.117.713.0 15.4 16.8 12.1 Furthermore, suppose it is known that the population standard deviation for length is o distributed = 1.04, and that the length of largemouth bass is normally a) What is a point estimate of the population mean length? Round...
Lazurus Steel Corporation produces iron rods that are supposed to be inches long. The machine that makes these rods does not produce each rod exactly inches long. The lengths of the rods vary slightly. It is known that when the machine is working properly, the mean length of the rods made on this machine is inches. The standard deviation of the lengths of all rods produced on this machine is always equal to inch. The quality control department takes a...