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People arrive at a restaurant at a rate of five per minute and wait to receive their order for an average of 5 mins. Customers eat in with a probability of 0.5 and carry out with a probability of 0.5. A meal requires an average of 20 minutes. What is the average number of customers in the restaurant?
Show that if in the Law of Large Numbers we omit the assumption that all the X have the same mean and replace the m in the conclusion by [E(X1)+...+E(Xn)]/n, the law remains valid.
Research has shown that the people often see a correlation between two events when one does not really exist. Why do you think this happens?
A store asked 250 of its customers whether they were satisfied with the service or not. The responses were also classified according to the gender of the customers. We want to study whether there is a relationship between satisfaction and gender.
A game involving a pair of dice pays out $4 with probability 16/36, costs you $2 with probability 14/36, and costs you $6 with probability 6/36.
Describe a research problem that would benefit from Factor Analysis. What are the variables and what would you hope to achieve?
A TV executive is interested in the popularity of a particular cable TV show. She has been told that a whopping 68% of American households would be interested in tuning in to a new network version of the show.
An advantage of the permutation test over the t test for a difference in means, can Permutation tests be used for tests when we believe the two populations differ under the null hypothesis.
Suppose the population standard deviation is a=25. (The a is actually the funny looking 0 with the line that goes from the top right up at an angle) Compute the standard error of the mean
According to study done by Nick Wilson of Otago University, the probability a randomly selected individual will not cover his or her mouth when sneezing was 0.267. Suppose you sit on a mall bench and observe 200 people pass by as they sneeze.
Comparison of paired and unpaired samples test - Prepare a brief conclusion statement summarizing your results. What can you tell this MHMR about client satisfaction? What could you suggest they do to improve?
We are interested in testing to see if the variance of a population is less than 7. The correct null hypothesis is:
Would the Kruskal-Wallis be an appropriate statistical procedure to test this Research Question (RQ)? Please explain your answer.
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