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1. In a hypothesis test, one establishes the hypothesis that one hopes to be proved. The hypothesis is proved if the null hypothesis is disproved. To disprove the null hypothesis, one must show, with a degree of confidence, that the chance for the alpha error is less than ά, in which the confidence level is 1 - (the alpha percentage). What is the alpha error in a hypothesis test? What is the Beta error in the hypothesis test?
2. In inferential statistics, it is important, if it is unknown whether the probability distribution of the universe is a normal distribution, to use a sample size that allows the use of the central limit therom. In analysis, the assumption of a normal distribution lets one use the mean of the sample distribution to determine what about the probability distribution of the universe?
3. What are the assumptions necessary to use the z-series test? What are the assumptions necessary of use the t-series test?
Suppose you are traveling on business to a foreign country for the first time. You do not have a bus schedule or a watch with you. However, you have been told that buses stop in front of your hotel every 20 minutes throughout the day. If you show ..
Ski resort profits $1,500,000 during a good winter with lots of snow. The resort has a loss of $500,000 otherwise. The resort's historical climate data suggests that the probability of a good winter with lots of snow during any given year is 40%.
In his report to the mall management, can he say that shoplifting is twice as likely to be the cause of the loss as compared with either employee theft or poor inventory control and that employee theft and poor inventory control are equally likely..
Using the telephone numbers listed in your local directory as your population, randomly obtain 20 samples of size 3. From each telephone number identified as a source, take the fourth, fifth, and sixth digits.
Norm Dickins the town pharmacist is interested in obtaining a loan to expand his business. He will get a better interest rate if he can reasonably demonstrate that his near-term monthly revenues will be between $10,000 and $15,000.
In the biology class the mean score was 79 with standard deviation 5.
Assume that company A makes 80% of all electrocardiograph machines, company B make 15% of them, and the company C makes the other 5%.
Let ≥ represent the true average area (in square feet) of these apartments. What are the appropriate null and alternative hypotheses?
Truck tire life is normally distributed with a mean of 60,000 miles and a standard deviation of 4,000 miles. You bought four tires. What is the probability that the average mileage of the four tires exceeds 66,000 miles?
A reporter took a simple random sample of 725 voters in a region that has a population of 12,457. He recorded that 338 of the persons polled favored Issue 1 on the ballot.
how many chocolate chip cookies will he need to sample to estimate the mean to within 2, what is a 99% confidence interval for the average number of chips per cookie?
Test the mean cholesterol content in the egg is greater than 2.5 percent
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