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A university has 10,000 students of which 55% are male and 45% are female. If a class of 30 students is chosen at random from the university populaton, find the mean of the number of male students.. Find the standard deviation of the number of male students.
A fellow researcher fits a simple linear regression model Yi = α + βXi + ui by least squares, but has doubts that the first least squares assumption E(ui |Xi) = 0 is correct for her data set.
What signified to you on all of the problems that required a normal distribution that you were to use a normal distribution? Which problems required a normal distribution?
What is the null and alternative hypothesis? What is your final conclusion?
A developmental psychologist is studying memory development in children. He is interested in determining the exact age at which children began to recall long-term episodic memories.
Let x equal the number of cells activating the alarm when the temperature reaches 100F. Find the expected value and the variance for the random variable x.
How large a sample is required if the 97 percent level of confidence is used and the estimate is to be within $2,500? The standard deviation is $16,000.
Compare the unconditional probability of having the disease to the conditional probability of having the disease given the test says you have the disease.
Average (arithmetic mean) of 15 years with a standard deviation of 4 years. How does the relative dispersion in the distribution of salaries compare with that of the lengths of service?
Using one mean Z test to test whether or not to support the claim - Is there evidence that the average hours is below 6? Describe.
Consider a hypothesis test of H0: μ = 0 against H1: μ > 0 where μ is the mean percent change in total body bone mineral content of young women. The population standard deviation is σ = 2. The level of significance for the test is α = 0.05.
Based on these data, does it seem that strength of relationship between sales and promotions expenditures is enough to permit using linear regression forecasting model? Describe why?
You are the manager of a fast food restaurant. You want to determine whether the population mean waiting time to place an order has changed in the past month from its previous population mean value of 4.5 minutes.
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