A single-serve coffee maker is programmed to dispense 14 ounces per cup of coffee. Each month, a quality control representative from the manufacturer takes a random sample of 23 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 14 ounces, then the machine is sent back to the manufacturer for repair. The mean of a recent sample of 23 cups of coffee was found to be 14.19 ounces. Use the critical value method to test the hypothesis that the mean volume of coffee dispensed by this machine is different than 14 ounces, using a significance level of 2.5%. 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 0.34 ounces. State the null and alternative hypothesis for this test. H0:H0:? = > < p = p p p p > p < H1:H1:? = > < p = p p p p > p < Determine if this test is left-tailed, right-tailed, or two-tailed.

• left-tailed
• right-tailed
• two-tailed

Should the standard normal (z) distribution or Student's (t) distribution be used for this test?

• The standard normal (z) 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 provide sufficient evidence to reject the alternative hypothesis that the mean pour of coffee dispensed by the coffee maker is significantly different than 14 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 14 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 14 ounces and thus we conclude that the coffee maker does not need to be serviced by the manufacturer.
• 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 14 ounces and thus we conclude that the coffee maker needs to be serviced by the manufacturer.