A coin-operated drink machine was designed to discharge a mean of 6 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 13randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 5.8 fluid ounces and 0.25 fluid ounces,respectively.If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, μ,differs from 6 fluid ounces? Use the 0.05 level of significance.Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)(a) State the null hypothesis H and the alternative hypothesis H₁.HoH₂₁:0H₁ :0(b) Determine the type of test statistic to use.(Choose one)(c) Find the value of the test statistic. (Round to three or more decimal places.)(d) Find the p-value. (Round to three or more decimal places.)(e) Can we conclude that the mean discharge differs from 6 fluid ounces?OYes No3XI0=0☐#0XOS00OSO0<0РŚP010ロミロO

GIVEN DATA, n=13x¯=5.8S=0.25claim :μ≠6α=0.05

Answered: A coin-operated drink machine was…

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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Sony would like to test the hypothesis that the average age of a PlayStation user is different from the average age of an Xbox user. A random sample of 32 PlayStation users had an average age of 33.7 years while a random sample of 36 Xbox users had an average age of 35.6 years. Assume that the population standard deviation for the age of PlayStation and Xbox users is 3.7 and 3.5 years, respectively. Also assume population variances are equal. Sony would like to set alpha= 0.05. The 95% confidence interval for the difference in population means is
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The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children aged 5 to 15 years. Based on these data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.7 mm and a standard deviation of 4.4 mm. (Round your answers to four decimal places.) n USE SALT (a) Approximately what proportion of healthy children have left atrial diameters less than 24 mm?
The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children aged 5 to 15 years. Based on these data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.2 mm and a standard deviation of 4.1 mm. (Round your answers to four decimal places.) A USE SALT (a) Approximately what proportion of healthy children have left atrial diameters less than 24 mm? (b) Approximately what proportion of healthy children have left atrial diameters greater than 32 mm? (c) Approximately what proportion of healthy children have left atrial diameters between 25 and 30 mm? (d) For healthy children, what is the value for which only about 20% have a larger left atrial diameter? mm
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The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children aged 5 to 15 years. Based on these data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.7 mm and a standard deviation of 4.4 mm. (Round your answers to four decimal places.)

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