A machine produces metal rods used in an automobile suspension system. A randomsample of 15 rods is selected, and the diameter is measured. The resulting data (inmillimeters) are as follows:8.24 8.25 8.20 8.23 8.24 8.21 8.26 8.26 8.20 8.25 8.23 8.23 8.19 8.28 8.24(A) Calculate a 95% two-sided confidence interval on mean rod diameter.R(B) Calculate a 95% upper confidence bound on the mean. Compare this bound withthe upper bound of the two-sided confidence interval and discuss why they aredifferent.

Step 1: Calculate the sample mean and the sample standard deviation.Before we proceed with…

Answered: A machine produces metal rods used in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a random sample of seven cell phones, the mean full retail price was $402.50 and the standard deviation was $228.00. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean μ. Interpret the results.
A machine produces metal rods used in an automobile suspension system. A random sample of 15 rods is selected, and the diameter is measured. The resulting data (in millimeters) are as follows: 8.24 8.25 8.20 8.23 8.24 8.21 8.26 8.26 8.20 8.25 8.23 8.23 8.19 8.28 8.24 a) Calculate a 95% two-sided confidence interval on mean rod diameter. b) Compute a 95% prediction interval on the diameter of the next rod tested. Compare the length of the prediction interval with the length of the 95% Cl on the population mean. A machine produces metal rods used in an automobile suspension system. A random sample of 15 rods is selected, and the diameter is measured. The resulting data (in millimeters) are as follows: 8.24 8.25 8.20 8.23 8.24 8.21 8.26 8.26 8.20 8.25 8.23 8.23 8.19 8.28 8.24 a) Calculate a 95% two-sided confidence interval on mean rod diameter. b) Compute a 95% tolerance interval that will contain 99% of the production. Compare the length of the prediction interval with the length of the…
The diameters (in inches) of 17 randomly selected bolts produced by a machine are listed. Use a 99% level of confidence to construct a confidence interval for (a) the population variance o and (b) the population standard deviation o. Interpret the results 4.479 4412 4.035 4.316 4.006 3.799 3.814 3.766 4243 3.979 4.111 4.567 3.949 3.753 3.877 3.833 4.433 (a) The confidence interval for the population variance is (Round to three decimal places as needed.) Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to three decimal places as needed.) O A. With 1% confidence, it can be said that the population variance is between O B. With 1% confidence, it can be said that the population variance is greater than and OC. With 99% confidence, it can be said that the population variance is less than O D. With 99% confidence, it can be said that the population variance is between and (b) The confidence interval for the population…
Random samples of two species of iris gave the following petal lengths (in cm). x1, Iris virginica 5.9 5.9 4.5 4.9 5.7 4.8 5.8 6.4 5.9 5.9 x2, Iris versicolor 4.5 4.6 4.7 5.0 3.8 5.1 4.4 4.2 (a) Use a 5% level of significance to test the claim that the population standard deviation of x1 is larger than 0.55.What is the level of significance? Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.)What are the degrees of freedom? (b) Find a 90% confidence interval for the population standard deviation of x1. (Round your answers to two decimal places.) lower limit upper limit (c) Use a 1% level of significance to test the claim that the population variance of x1 is larger than that of x2. Interpret the results.What is the level of significance? Find the value of the sample F statistic. (Round your answer to two decimal places.)What are the degrees of freedom? dfN = dfD =
Eye Color Based on a study by Dr. R Sorita at Indiana University, assume that 12% of us have green eyes. In a study of 650 people, it is found that 86 of them have green eyes. a. Find the probability of at least 86 people with green eyes among 650 randomly selected people. b. Is 86 people with green eyes significantly high?
In a random sample of ten people, the mean driving distance to work was 22.5 miles and the standard deviation was 5.6 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean u. Interpret the results. Identify the margin of error. (Rou e as needed.) Con square miles interval for the population mean. miles (Rou miles per hour e as needed.) Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) OA. % of all random samples of ten people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. B. With % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints. O C. It can be said that % of the population has a driving distance to work (in miles) that is…
A sample of stalactites (a type of rock formation) found in a glow worm cave produced the following lengths in cm: 9.6 16.9 15.1 14.3 15.9 17.2 13.0 17.1 15.4 16.2 4.5 20.3 21.2 15.7 Assuming that this sample came from a normal population, calculate a 95% confidence interval for the mean length of stalactites in the cave.
One gallon of gas is put into each of 30 test cars. The resulting gas-mileage values of the sample are computed with mean of 28.5 gallons per mile, and standard deviation of 1.2 miles per gallon. What is the 95% confidence interval estimate of the mean mileage? O(27.36, 29.64) O(28.46, 28.54) O(27.3, 29.7) O(28.1, 28.9) O(28.42, 28.58) > Next Question 19.032 tv 16
A sample of 19 elements was used to construct a 99% confidence interval for the population variance, the chi-square value (s) used for this test are: Select one: a. 7.015 to 34.805 b. 7.633 to 36.191 O c. 6.844 to 38.582 d. 6.265 to 37.156 ge Next page ETIVITY NEXT ACTIVITY Jump to. Midterm 1
In a sample of 100 individuals, the average height is 170 cm and the standard deviation is 15 cm. Using a 95% confidence level, what is the margin of error for the mean height of the population?
After a sewer spill into a lake, an environmentalist wanted to test to see if the water was safe (mean bacteria count per unit volume of water is less than 200). Ten samples along different locations of the lake resulted in a sample mean of 192.7 and a sample standard deviation of 10.81. 2. a. Construct a 95% confidence interval for the mean.

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