A coin-operated drink machine was designed to discharge a mean of 8 ounces of coffee per cup. In a test ofthe machine, the discharge amounts in 19 randomly chosen cups of coffee from the machine were recorded.The sample mean and sample standard deviation were 7.91 ounces and 0.26 ounces, respectively. If weassume that the discharge amounts are normally distributed, is there enough evidence, at the 0.05 level ofsignificance, to conclude that the true mean discharge, µ, differs from 8 ounces?Perform a two-tailed test. Then fill in the table below.Carry your intermediate computations to at least three decimal places and round your answers as specifiedin the table. (If necessary, consult a list of formulas.)The null hypothesis:Н:хThe alternativeНhypothesis:D=0OSOThe type of test statistic:(Choose one)O#0OOThe value of the teststatistic:(Round to at least threedecimal places.)The two critical values atthe 0.05 level of||and ||significance:(Round to at least threedecimal places.)At the 0.05 level of significance, can weconclude that the true mean dischargeYesNodiffers from 8 ounces?미미

Answered: Image /qna-images/answer/52a62e94-bf24-4259-b4cd-5806233d7802.jpg

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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To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
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.)
Suppose that water usages in American showers are normally distributed, with an average shower using 20 gallons, and a standard deviation of 3.2 gallons. Estimate the percentage of showers that used (a) between 13.6 and 26.4 gallons. % (b) more than 26.4 gallons. % (c) less than 10.4 gallons. % (d) between 16.8 and 29.6 gallons. %
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The lengths of nails produced in a factory are normally distributed with a mean of 3.343.34 centimeters and a standard deviation of 0.070.07 centimeters. Find the two lengths that separate the top 3%3% and the bottom 3%3%.
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