A paint manufacturer uses a machine to fill gallon cans with paint (1 gal = 128 ounces). The manufacturer wants to estimate the mean volume of paint the machine is putting in the cans within 0.6 ounce. Assume the population of volumes is normally distributed. (a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 0.70 ounce. (b) The sample mean is 126.25 ounces. With a sample size`of 6, a 90% level of confidence, and a population standard deviation of 0.70 ounce, does it seem possible that the population mean could be exactly 128 ounces? Explain. Click here to view page 1 of the Standard Normal Table. Click here to view page 2 of the Standard Normal Table, (a) The minimum sample size required to construct a 90% confidence interval is cans. (Round up to the nearest whole number.) (b) The 90% confidence interval for a sample size of 6 is ). It does seem possible that the population mean could be exactly 128 ounces because 128 ounces falls inside the confidence interval. (Round to two decimal places as needed.)

A paint manufacturer uses a machine to fill gallon cans with paint (1 gal = 128 ounces). The manufacturer wants to estimate the mean volume of paint the machine is putting in the cans within 0.6 ounce. Assume the population of volumes is normally distributed. (a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 0.70 ounce. (b) The sample mean is 126.25 ounces. With a sample size`of 6, a 90% level of confidence, and a population standard deviation of 0.70 ounce, does it seem possible that the population mean could be exactly 128 ounces? Explain. Click here to view page 1 of the Standard Normal Table. Click here to view page 2 of the Standard Normal Table, (a) The minimum sample size required to construct a 90% confidence interval is cans. (Round up to the nearest whole number.) (b) The 90% confidence interval for a sample size of 6 is ). It does seem possible that the population mean could be exactly 128 ounces because 128 ounces falls inside the confidence interval. (Round to two decimal places as needed.)

Name: ### Estimating the Minimum Sample Size and Constructing Confidence In
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: ### Estimating the Minimum Sample Size and Constructing Confidence IntervalsA paint manufacturer utilizes a machine to fill gallon cans with paint (1 gal = 128 ounces). The manufacturer wants to estimate the mean volume of paint the machine is putti

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A bottler of drinking water fills plastic bottles with a mean volume of 994 millimeters (mL) with a standard deviation of 5 mL. The fill volumes are normally distributed. What proportion of bottles have volumes less than 995 mL? Use Table A.2 (Normal Distribution Table) and keep four decimal places with your answer.
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 42 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.50 ml/kg for the distribution of blood plasma. When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) zc = (a)Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit ___ upper limit ____ margin of error ____ (b)What conditions are necessary for your calculations? (Select all that apply.) A-? is known B-? is unknown C-the distribution of volumes is normal D-the…
The height of an 8th grader is modeled using the normal distribution shown below. The mean of the distribution is 59.1 in and the standard deviation is 1.2 in. In the figure, Vis a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) V 56 58 60 62 Height (in inches)
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 45 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.80 ml/kg for the distribution of blood plasma. When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) zc = (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limitupper limitmargin of error (b) What conditions are necessary for your calculations? (Select all that apply.) n is large? is known? is unknownthe distribution of volumes is normalthe distribution of…
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately nothing% of vehicles travel between 65 miles per hour and 71 miles per hour.
The Chancellor wants you to calculate the sample size needed with a margin of error of 15, 99% confidence, and a population standard deviation of 22.
Because the mean is very sensitive to extreme values, it is not a resistant measure of center. By deleting some low values and high values, the trimmed mean is more resistant. To find the 10% trimmed mean for a data set, first arrange the data in order, then delete the bottom 10% of the values and delete the top 10% of the values, then calculate the mean of the remaining values. Use axial loads (pounds) of aluminum cans listed below for cans that are 0.0111 in. thick. Identify any outliers, then compare the median, mean, 10% trimmed mean, and 20% trimmed mean. 247 261 269 273 275 280 282 282 284 285 285 287 290 292 293 296 296 299 311 507 Identify any outliers. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The outlier(s) is/are pounds. (Type a whole number. Use a comma to separate answers as needed.) C OB. There are no outliers.
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 46 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.80 ml/kg for the distribution of blood plasma. When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) zc = (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limitupper limitmargin of error (b) What conditions are necessary for your calculations? (Select all that apply.) n is largethe distribution of weights is normalthe distribution of weights is uniform? is…
You would like to make an interval estimate of a population mean from a sample of size 25. Assume the population standard deviation is 6. Assuming 98% Confidence, what is the margin for error for the estimate.
Low-density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is known as "bad cholesterol." LDL is measured in milligrams per deciliter of blood, or mg/dL. In a population of adults at risk for cardiovascular problems, the distribution of LDL levels is normal, with a mean of 123 mg/dL and a standard deviation of 41 mg/dL. If an individual's LDL is at least 1 standard deviation or more above the mean, he or she will be monitored carefully by a doctor. What percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean? Use the 68–95–99.7 rule. (Enter your exact answer as a whole number.) percentage %
The weights of people in a certain population are normally distributed with a mean of 159 lb and a standard deviation of 24 lb. Determine the sampling distribution of the mean for samples of size 5.