A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of7.0

ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. Believing that the mean amount of coffee dispensed by the machine,, is less than7.0ounces, BIG plans to statistical test of the claim that the machine is working as designed. Technicians gather a random sample of fill amounts and find that the mean of the sample is6.7

ounces and that the standard deviation is0.3ounces.Based on this information, answer the questions below.

What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test?

H0:is? less than, less than or equal to, greater than, greater than or equal to, not equal to equal to? 0.3 ounces, 7.0 ounces, 6.7 ounces

H1:is?less than, less than or equal to, greater than, greater than or equal to, not equal to equal to? 0.3 ounces, 7.0 ounces, 6.7 ounces

In the context of this test, what is a Type I error? A Type I error is? rejecting, failing to rejectthe hypothesis thatis? less than, less than or equal to, greater than, greater than or equal to, not equal to equal to? 0.3 ounces, 7.0 ounces, 6.7 ounceswhen, in fact,is? less than, less than or equal to, greater than, greater than or equal to, not equal toequal to? 0.3 ounces, 7.0 ounces, 6.7 ounces.

Suppose that BIG decides not to reject the null hypothesis. What sort of error might it be making?Type I, Type II