Assume that you want to construct a 95% confidence interval estimate of a population mean. Find an estimate of the sample size needed to obtain the specified margin of error for the 95% confidence interval. The sample standard deviation is given. Margin of error, E = 3.4 minutes; sample standard deviation, s = 43.4 minutes The required sample size is (Round up to the nearest whole number.)

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You work for a soft-drink company in the quality control division.  You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible.  You gather a random sample of 16 containers.  Estimate the population standard deviation at a 90% level of confidence.   11.98 12.11 11.88 11.99 11.89 12.02 11.84 12.05 12.13 11.94 12.31 12 12.07 12.02 12.04 12.04       (Data checksum: 192.31)  Keep as many decimals as  possible while making these calculations. a)  Find the sample standard deviation:   b)  Find the lower and upper χ2χ2  critical values at 90% confidence:Lower:     Upper:  c)  Report your confidence interval for σσ:  (?  , ? )

A sample​ mean, sample​ size, population standard​ deviation, and confidence level are provided. Use this information to complete parts​ (a) through​ (c) below.   x=35​, n=27​, σ=5 confidence level=90​%   a. Use the​ one-mean z-interval procedure to find a confidence interval for the mean of the population from which the sample was drawn.   The confidence interval is from _______ to _________. ​(Type integers or decimals rounded to one decimal place as​ needed.)   b. Obtain the margin of error by taking half the length of the confidence interval.   What is the length of the confidence​ interval?   ____________ ​(Type an integer or decimal rounded to one decimal place as​ needed.)   c. Obtain the margin of error by using the formula E=zα2•σn.   Identify the critical value. zα2=____________ ​(Type an integer or decimal rounded to two decimal places as​ needed.)   What is the margin of error obtained using the methods of parts​ (b) and​(c)? _________ ​(Type an integer or decimal…

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You work for a soft-drink company in the quality control division.  You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible.  You gather a random sample of 18 containers.  Estimate the population standard deviation at a 98% level of confidence.   11.98 11.99 11.96 12.09 11.79 11.96 11.87 12.1 12.16 12.03 12.04 12.11 12.12 12.15 11.95 12.23 11.95 12.12   (Data checksum: 216.6) Note: Keep as many decimals as  possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer. a)  Find the sample standard deviation:   b)  Find the lower and upper χ2χ2  critical values at 98% confidence:Lower:     Upper:  c)  Report your confidence interval for σσ:  (  , )

K In a random sample of eleven people, the mean driving distance to work was 22.3 miles and the standard deviation was 4.9 miles. 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 u. Interpret the results. Identify the margin of error. (Round to one decimal place as needed.) Construct a 95% confidence interval for the population mean. (Round to one decimal place 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. It can be said that % of the population has a driving distance to work (in miles) that is between the interval's endpoints. O B. % of all random samples of eleven people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. OC. With % confidence, it can be said that most driving distances…

Person1 Person2 Person3 Person4 Person5 Person6 Person7 Person8 Person9 Height 72 70 70 72 71 76 74 74 69 Shoe Size 11 10 10 12 10 15 14 13 11   * Confidence level is 95% * find the mean and standard deviation for height * find the mean and standard deviation for shoe size * Construct and interpret a confidence interval to estimate the mean height of the population. write the formula for the confidence interval then substitute the numbers. * Construct and interpret a confidence interval to estimate the mean shoe size of the population. write the formula for the confidence interval then substitute the numbers.