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Chis Square Problem Set Names1. An employer is involved in a lawsuit concerning work discrimination. The Company employs 25% White Employees, 10% Asian employees, 20% Black Employees, 25% Latino Employees and 20% Native American Employees. The following table lists the number of promotions awarded by the company according to the employee's ethnicity over the past 5 years:
Does it appear that the employer favors some ethnicities over others when considering candidates for promotion?
Perform the appropriate hypothesis test and then report which, if any, ethnicities are favored.
Ethnicity of Employee
Number of Promotions
White
25
Asian
18
Black
29
Latino
12
Native American
20
2. A recent poll reported counts for political identification (Americans of voting age) and gender with the following results:
Is there an association between gender and political identification? Perform the appropriate hypothesis test and the characterize the association if appropriate.
Male
Female
Republican
133
119
Democrat
152
195
Independent
162
123
Prove that all odd central moments of a Gaussian random variable are equal to zero. - Furthermore, develop an expression for all even central moments of a Gaussian random variable.
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In an aerial survey of a region in interior Alaska, 82 moose were detected. Intensive supplemental studies determined the probability of detection to be 0.89. Estimate the total number of moose in the study region and estimate the variance of that..
Solve each system of equations using matrices(row operations). Have to see step by step of what is going on.
A random sample of 100 highway runs of the new model yields a sample mean of 32 miles per gallon. Give a 95% confidence interval for the population average miles-per-gallon highway rating.
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the mean annual precipitation for dilbertville is 44 in with a standard deviation of 6.5 in. assuming the precipitation
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