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A single serve coffee maker is programmed to dispense 20 ounces per cup of coffee Each month a quality control representative from the manufacturer takes a random sample of 15 cups of coffee from the coffee maker and carefully measures each pour If the average pour of the sample is found to be significantly different than 20 ounces then the machine is sent back to the manufacturer for repair The mean of a recent sample of 15 cups of coffee was found to be 19 66 ounces Use the critical value method to test the hypothesis that the mean volume of coffee dispensed by this machine is different than 20 ounces using a 0 005 Assume that the distribution of all cups of coffee dispensed from the coffee maker is known to be approximately normally distributed with a standard deviation of 0 45 ounces State the null and alternative hypothesis for this test Ho H Determine if this test is left tailed right tailed or two tailed left tailed two tailed Oright tailed Should the standard normal 2 distribution or Student s t distribution be used for this test The standard normal 2 distribution should be used The Student s t distribution should be used Determine the critical value s for this hypothesis test Round the solution s to two decimal places If more than one critical value exists enter the solutions using a comma separated list Determine the test statistic Round the solution to two decimal places Determine the appropriate conclusion for this hypothesis test The sample data do not provide sufficient evidence to reject the alternative hypothesis that the mean pour of coffee dispensed by the coffee maker is different from 20 ounces and thus we conclude that the coffee maker needs to be serviced by the manufacturer The sample data do not provide sufficient evidence to reject the null hypothesis that the mean pour of coffee dispensed by the coffee maker is 20 ounces and thus we conclude that the coffee maker does not need to be serviced by the manufacturer The sample data provide sufficient evidence to reject the null hypothesis that the mean pour of coffee dispensed by the coffee maker is 20 ounces and thus we conclude that the coffee maker needs to be serviced by the manufacturer The sample data provide sufficient evidence to reject the alternative hypothesis that the mean pour of coffee dispensed by the coffee maker is significantly different than 20 ounces and thus we conclude that the coffee maker does not need to be serviced by the manufacturer

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