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If a population has a standard deviation ? of 25 units, what is the standard error of the mean if samples of size 100 are selected?
Describe the four possible outcomes that can result depending on the truth of the null hypothesis and the decision reached?
Develop and solve a linear optimization model to determine the optimal mix to maximize profit, and write a short memo to the president, Kathy Chung, explaining the sensitivity information in languag
In order to be accepted into a certain top university, applicants must score within the top 5% on the SAT exam. Given that the exam has a mean of 1000 and a standrad deviation of 200, what is the lo
Find the z-score for the standard normal distribution where:
The manufacturer of a new antidepressant claims that, among all people with depression who use the drug, the proportion (p) of people who find relief from depression is at least 80%.
Compare the standard deviation for the heights of males which 4.21 and the standard deviation for the heights of females which is 2.50 in the class. Compare the values and explain what can be concl
The Value of the z-score in a hypothesis test is influenced by a variety of factors. Assuming that all other vatiables are held constant, explain how the value of z is influenced by each of the foll
Compare the mean for the heights of males which is 69.78 and the mean for the heights of females which is 67.08. Compare the values and explain what can be concluded based on the numbers.
The show in Atlanta was all of original material by the band, the show in Charlotte included two cover versions of songs by other bands, the show in Richmond included four "covers", the show in New
A two-factor study with two levels of factor A and three levels of factor B uses a separate sample of n = 5 participants in each treatment condition. How many participants are needed for the entire
Consider a binomial random variable where the number of trials is 9 and the probability of success on each trial is 0.43. Find the mean and standard deviation of this random variable
A Type I error occurs when a researcher concludes that a treatment has an effect but, in fact, the treatment has no effect. Please explain your answer.
The numerator of the z-score test statistic measures _____. Please explain your answer.
Even if a treatment has an effect it is still possible to obtain an extreme sample mean that not very different from the original population mean. If this happens, you are likely to _____. Please ex
In general, increasing the alpha level (for example from .01 to .05) will _____. Please explain your answer. Increase the likelihood of rejecting H0 and increase the risk of a Type I error
The hypothesis test produces a z-score of z = -2.60. Assuming that the researcher is using a two-tailed test, what is the correct statistical decision? Explain your answer.
A researcher uses a hypothesis test to evaluate H0 μ = 80. Which combination of factors is most likely to result in rejecting the null hypothesis? Explain your answer.
A certain poultry farmer finds that 8% of his eggs are underweight and that 12% weigh over 70 g. Estimate the mean and standard deviation of his eggs.
The two critical value at the 0.1 level of significance? Can we conclude that the mean processing time of computer 1 differs from the mean processing time of computer 2?
Recently, a large academic medical center determined that 9 of 17 employees in a particular position were female, whereas 55% of the employees for this position in the general workforce were female.
A multiple-choice test has 30 questions and each one has five possible answers, of which one is correct. If all answers were guesses, find the probability of getting exactly four correct answers
In a study of the correlation between the amount of rainfall and the quantity of air pollution removed, the following data were collected:
A large disaster cleaning company estimates that 30% of the jobs it bids on are finished within the bid time. Looking at a random sample of 8 jobs that is has contracted: Calculate the mean number o
Suppose I had to find two light bulbs from a collection of 12, all but 3 of which are working. If I test each one in turn, what is the probability that I would find two working bulbs