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Q1) Assume a professor arbitrarily chooses 3 new teaching assistants from the total of 20 applicants-12 male and 8 female students. Let X be number of females who are hired.
i) Determine the probability that no female are hired.
ii) Determine the mean and standard deviation of X.
Q2) In testing lethal concentration of chemical found in polluted water, it is determined that certain concentration will kill 40% of fish which are subjected to it for 24 hours. If 5 fish are placed in the tank concentration of chemical, determine the probability that after 24 hours.
i) Exactly 4 survive
ii) At least 4 survive
iii) At most 1 survives.
Give the Z- score cutoff (or cutoffs) on the comparison distribution at which the null hypothesis should be rejected
Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College.
At.01 significance level, is there difference in mean number of times men and women order take-out dinners in month? Determine the p -value?
Develop appropriate hypotheses such that rejection of H0 will support the researcher's contention.
What is the appropriate set of hypotheses to test such that a possible outcome of the test would indicate;
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.
Test the claim that the mean age of the prison population in one city is less than 26 years. Sample data are summarized as n = 25, x = 24.4 years, and s = 9.2 years. Use a significance level of α = 0.05.
Using the .05 significance level, can we conclude that there is a positive association between the two variables?
Determine odds student gets more than 14 questions correct? Determine the odds student gets exactly 12 questions correct?
A normal distribution with a mean of 55 and a standard deviation of 6 is evaluated to solve a business problem.
Using the data file below, construct a histogram and a frequency polygon. Describe the shape of this distribution.
At the 5% significance level, if the sample proportion is .45, and the standard error of the sample proportion is .035, the appropriate conclusion would be:
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