н :р is What are the null and alternative hypotheses that BIG should use for the test? н : р is What is the probability that BIG rejects the null hypothesis when, in fact, it is true? Round your response ||| to at least two decimal places. Assuming that the actual value of u is 6.86 ounces, what is the probability that BIG accepts the null hypothesis? Round your response to at least two decimal places. The power of the second test is greater than the power of the original test Suppose that BIG decides to perform another statistical test using the same population, the same null and alternative hypotheses, and the same sample size, but for this second test BIG uses a significance level of 0.1 instead of a significance level of 0.05. Assuming that the actual value of u is 6.86 ounces, how does the power of this second test compare to the power of the original test? The power of the second test is less than the power of the original test The powers of the two tests are equal
A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of
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 than
ounces, BIG plans to do a statistical test of the claim that the machine is working as designed. BIG gathers a random sample of
amounts of coffee dispensed by the machine.
Suppose that the population of amounts of coffee dispensed by the machine has a standard deviation of
ounces and that BIG performs its hypothesis test using the
level of significance.
Based on this information, answer the questions below.
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