A coin-operated drink machine was designed to discharge a mean of 7 ounces of coffee per cup. In a test of the machine, the discharge amounts in 12 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 7.02 ounces and o0.2 ounces, respectively. If we assume that the discharge amounts are normally distributed, is there enough evidence, at the 0.05 level of significance, to conclude that the true mean discharge, µ, differs from 7 ounces? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H. 0: 'H H, :0 (b) Determine the type of test statistic to use. O=0 Oso D20 (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) ? (d) Find the two critical values. (Round to three or more decimal places.) O and O (e) At the 0.05 level of significance, can we conclude that the true mean discharge differs from 7 ounces? OYes ONo Ix

A coin-operated drink machine was designed to discharge a mean of 7 ounces of coffee per cup. In a test of the machine, the discharge amounts in 12 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 7.02 ounces and o0.2 ounces, respectively. If we assume that the discharge amounts are normally distributed, is there enough evidence, at the 0.05 level of significance, to conclude that the true mean discharge, µ, differs from 7 ounces? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H. 0: 'H H, :0 (b) Determine the type of test statistic to use. O=0 Oso D20 (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) ? (d) Find the two critical values. (Round to three or more decimal places.) O and O (e) At the 0.05 level of significance, can we conclude that the true mean discharge differs from 7 ounces? OYes ONo Ix

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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