A major airline is concerned that the waiting time for customers at its ticket counter may be exceeding its target average of 190 seconds.
To test this, the company has selected a random sample of 100 customers and times them from when the customer first arrives at the checkout line until he or she is at the counter being served by the ticket agent. The mean time for this sample was 202 seconds with a standard deviation of 28 seconds. Given this information and the desire to conduct the test using an alpha level of 0.02, which of the following statements is true?A) The chance of a Type II error is 1 - 0.02 = 0.98.
B) The test to be conducted will be structured as a two-tailed test.
C) The test statistic will be approximately t = 4.286, so the null hypothesis should be rejected.
D) The sample data indicate that the difference between the sample mean and the hypothesized population mean should be attributed only to sampling error.
Question 2
When testing a two-tailed hypothesis using a significance level of 0.05, a sample size of n = 16, and with the population standard deviation unknown, which of the following is true?
A) The null hypothesis can be rejected if the sample mean gets too large or too small compared with the hypothesized mean.
B) The alpha probability must be split in half and a rejection region must be formed on both sides of the sampling distribution.
C) The test statistic will be a t-value.
D) All of the above are true.
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