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A study involving ten people wants to compare the effectiveness of two different brands of antihistamines with regard to enhancing sleep. Each person is randomly assigned to take either Antihistamine A or Antihistamine B on the first night. Then each takes the other antihistamine on the following night. With each person, the hours of sleep were recorded for each night. Explain whether each of the following terms applies to this study.
a. observational study
b. randomized experiment
c. carry-over effect (confounding)
d. matched pairs (dependent samples)
e. explanatory variable (What is it?)
f. response variable (What is it?)
Five have a 3/10,000 chance for failure. Four have a 4/10,000 chance for failure. One componet has a 1/100 chance for failur. What is the overall reliability of the product?
A population is normally distributed with the mean of 100 and a standard deviation of Would it be unusual for mean of sample of 3 to be 115 or more? Why or why not?
A standard IQ test has mean of 98 and a standard deviation of 16. We want to be 99% certain that we are 8 IQ points of the true mean. Determine the sample size.
The probability that a claim is filed in a given year is 0.05, independently of preceding years. What is the PMF of the total premium paid up to and including the year when the first claim is filed?
How is regression analysis used in forecasting? Provide examples. How may it be used to formulate strategies?
The original concepts of analysis of variance came from the work of Sir Ronald A. Fisher, an English statistician. This technique, better known as ANOVA, has become one of the most commonly used research methods for testing differences among sever..
Given a sequence of independent flips of such a coin, derive a simple expression for the probability that the next flip will be a head.
A DVD rental store wants to know what proportions of its customers are under age 21. A simple random sample of 500 customers was taken, and 375 of them were under age 21. Presume that the true population proportion of customers under age 21 is 0.6..
To find the probability that exactly 25 of the computers will require repair, one would use what type of probability distribution?
Find the probability that a random sample of 4 male Siberian tigers will have a sample mean weight more than 450 lb.
Consider the following stemplot. The mean of the data represented in this stemplot ?
How would you interpret the findings of a correlation study that reported a linear correlation coefficient of +0.3?
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