If the test statistic for a chi-square goodness-of-fit test is larger than the critical value, the null hypothesis should be rejected.
Indicate whether the statement is true or false
Q. 2A goodness-of-fit test can be used to determine whether a set of sample data comes from a specific hypothesized population distribution.
Indicate whether the statement is true or false
Q. 3The manager of a fast food store realizes that his staffing problems are a result of the variation in the number of customers that arrive at the store.
If the same number of customers came each hour, she would know exactly how many servers to have working. It turns out that the Poisson distribution works well to describe the arrivals of customers in any given hour. Explain why the manager has more trouble staffing the store during those hours when the average arrival rate is higher.
Q. 4Under what conditions is the binomial distribution symmetric?
What will be an ideal response?
Q. 5The Swanson Auto Body business repaints cars that have been in an accident or which are in need of a new paint job. Its quality standards call for an average of 1.2 paint defects per door panel.
Explain why there is a difference between the probability of finding exactly 1 defect when 1 door panel is inspected and finding exactly 2 defects when 2 doors are inspected.
Q. 6The binomial distribution is frequently used to help companies decide whether to accept or reject a shipment based on the results of a random sample of items from the shipment.
For instance, suppose a contract calls for, at most, 10 percent of the items in a shipment to be red. To check this without looking at every item in the large shipment, a sample of n = 10 items is selected. If 1 or fewer are red, the shipment is accepted; otherwise it is rejected. Using probability, determine whether this is a good sampling plan. (Assume that a bad shipment is one that has 20 percent reds.)
Q. 7Explain how to use the binomial distribution table when p, the probability of a success, exceeds 0.50.
What will be an ideal response?