Here are measurements (in millimeters) ot a critical dimension on an SRS of 8 of the more than 200 auto engine crankshafts produced in one day that are known to be normally distributed 234.12 233.91 234.21 233.96 234.07 233.98 234.09 234.15 Construct a 95% confidence interval for the mean measurements of a critical dimension at the time these crankshafts were produced

Here are measurements (in millimeters) ot a critical dimension on an SRS of 8 of the more than 200 auto engine crankshafts produced in one day that are known to be normally distributed 234.12 233.91 234.21 233.96 234.07 233.98 234.09 234.15 Construct a 95% confidence interval for the mean measurements of a critical dimension at the time these crankshafts were produced

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Here are measurements (in millimeters) of a critical dimension on an SRS of 8 of the more than 200 auto engine crankshafts produced in one day that are known to be normally distributed: 234.12 233.91234.21 233.96 234.07 233.98 234.09 234.15 Check the conditions for constructing a 95% confidence interval for the mean of the critical dimension measured.
A random sample of 15 shearing pins is taken in a study of the Rockwell hardness of the pin head. Measurements on the Rockwell hardness are made for each of the 15 yielding an average value of 46.50 with a sample standard deviation of 1.9 . Assuming the measurements to be normally distributed, construct a 95% confidence interval for the mean Rockwell hardness.
A simple random sample of the weights of 19 green M&Ms has a mean of 0.8635g and a standard deviation of 0.0570. Use a 0.05 significance level to test the claim that the mean weight of all green M&Ms is equal to 0.8535g, which is the mean weight required so that M&Ms have the weight printed on the package label. Do green M&Ms appear to have weights consistent with the package label? Test the claim using the critical value method.
In a sample of n=19 lichen specimens, the researchers found the mean and standard deviation of the amount of the radioactive element, cesium-137, that was present to be 0.009 and 0.006 microcurie per milliliter, respectively. Suppose the researchers want to increase the sample size in order to estimate the mean μ to within 0.002 microcurie per milliliter of its true value, using a 95% confidence interval.
The mean height of 50 male students who showed above-averageparticipation in college athletics was 68.2 inches (in) with a standarddeviation of 2.5 in, while 50 male students who showed no interest in suchparticipation had a mean height of 67.5 in with a standard deviation of2.8 in. Test the hypothesis that male students who participate in collegeathletics are taller than other male students at 0.1 level.
A random sample of 12 female students in a certaindormitory showed an average weekly expenditure of $8.00for snack foods, with a standard deviation of $1.75. Constructa 90% confidence interval for the average amount spent eachweek on snack foods by female students living in thisdormitory, assuming the expenditures to be approximatelynormally distributed.
A social worker is concerned about the number of prescriptions her elderly clients have. She would like to create a 99% confidence interval for the mean number of prescriptions per client with a maximum error of 2 prescriptions. Assuming a standard deviation of 5.2 prescriptions, what is the minimum number of clients she must sample?
a consumer group clamins that the mean minimum time it takes for a sedan to travela quarter mile is greater than 14.7 seconds. A random sample of 22 sedans has a mean minimum time to travel a quarter mile of 15.4 seconds and a standard deviation of 2.10 seconds. At alpha= 0.10, do you have enough evidence to support the consumer group's claim?
Based on a large sample of capacitors of a certain type, a 95% confidence interval for the mean capacitance, in �й, was computed to be (0.213,0.241). Find a 90% confidence interval for the mean capacitance of this type of capacitor.
A random sample of home runs hit by Major League baseball players was selected, and their exit velocities were recorded below. Assuming that home run exit velocities are close to normally distributed, construct a 95% confidence interval for the mean exit velocity of a home run hit by a Major League baseball player.Exit Velocities (mph) 109.9 100.9 111.6 100.4 107.3 98.3 113.8 100.8 112 109.2 110.1 106.6 115.4 102.5 111.9 97.2 Choose one: Since we only know the sample standard deviation, we should use the t-statistic. Since we only know the sample standard deviation, we should use the z-statistic. Since we know the population standard deviation, we should use the z-statistic. Since we know the population standard deviation, we should use the t-statistic. Does the given information satisfy the normality requirement? Yes; baseballs are made of leather, which is totally normal. No; we must have a sample size of at least 40. No; we must have a sample size of at least 30.…
A survey of nonprofit organizations showed that online fundraising has increased in the past year. Based on a random sample of 50nonprofits, the mean one-time gift donation in the past year was $40,with a standard deviation of $9.Complete parts a and b below. a. Construct a 95% confidence interval estimate for the population one-time gift donation.
The bottlers of the new soft drink “Guzzle” are experiencing problems with the filling mechanism for their 16 floz bottles. To estimate the standard deviation of the fill volume, the filled volume for 20 bottles was measured, yielding a sample standard deviation of 0.1 floz. Compute a 95% confidence interval for the standard deviation σ.