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A test consists of multiple-choice questions, each having four possible answers (a,b,c,d) one of which is correct. Assuming that you guess the answers to six such questions.
a.) Use the multiplication rule to find the probability that the first two guesses are wrong and the last four guesses are correct. That is, find P (WWCCCC), where C denotes a correct answer and W denotes a wrong answer.
b.) Beginning with WWCCCC, make a complete list of the different possible arrangements of two wrong answers and four correct answers, then find the probability for each entry in the list.
Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution.
Shopper Trak is a hidden electric eye designed to count the number of shoppers entering a store. When two shoppers enter the store together one walking in front of the other, the following possibilities apply.
You calculate the difference in income as (after incentive plan - before incentive plan). You want to test whether income after the incentive plan is different from income before the incentive plan. What are the hypotheses for this test?
Carbon monoxide (CO) emissions for a certain kind of car vary mean 2.4 g/mi and standard deviation 0.7g/mi. A company has 60 of these cars in its fleet. Let y represent the mean CO level for the companies fleet. Estimate the probability that y is ..
An investigator wants to estimate caffeine consumption in high school students. How many students would be required to ensure that 95% confidence interval estimate for the mean caffeine intake (measured in mg) is within 15 units of the true mean? ..
We want to test the hypothesis that population B has a smaller variance than population A.
Would the null hypothesis be accepted or rejected in this case?
Mighty Manufacturing must decide on the processes to use to produce 1650 units. If machine 1 is used, its production will be between 300 and 1500 units. Machine 2 or machine 3 can be used only if machine 1's production is at least 1000 units. Ma..
Perform a significance test to see if there is a relation between mortality and duration of employment in the group hired AFTER 1945 and report a p-value.
Determine the point estimate in this study? Compute the standard error in this example?
Suppose today's sample yielded a mean of $4.19 and a standard deviation of $0.10, create and interpret a 99% confidence interval for the population standard deviation. Assume the distribution of gas prices in the area follows a normal distribution..
Using the simple test of independence (described in the lecture), decide if the events high calorie and high fiber are independent or dependent. Show your work.
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