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Chi-square test for independence of attributes.
An investment portfolio manager categorized her investors as having moderate, medium or high incomes, based on their records. She then rates their overall degree of investment risk from an analysis of the profile of their investments. Counts for investor income and investment risk for 1094 randomly selected investors from one of her investment funds are given in Table 1. She is interested to see if a relationship exists between declared income level and degree of investment risk.
(i) Explain why a x2 test of the resulting contingency table is appropriate for such an investigation.
(ii) Under take a suitable x2 test to establish if there is any evidence, at the 5% significance level, that investment risk depends on level of income.
An experiment was carried out to assess the effects of four tomato varieties and four planting densities on yield. There were 64 plots, and each of the 16 factor combinations was randomly assigned to 4 plots. A partial ANOVA table
Scrap rates per thousand (parts whose defects cannot be reworked) are compared for 5 randomly selected days at three plants. Does the data prove a significant difference in mean scrap rates?
Create the indicated confidence interval for population mean using (a) t-distribution. (b) If you had incorrectly used normal distribution, which interval would be wider?
You decide to predict gasoline prices in different cities and towns in the U.S. for your term project. Your dependent variable is price of gasoline per gallon and your explanatory variables are per capita income
Use the p-value approach and test to determine if the average yearly income of marketing managers in the East is significantly different from the West.
It was reported that approximately 45% of all university professors are extroverted. Suppose you have classes with 6 different professors. What is the probability that all 6 are extroverts?
When would you use a hypothesis test for the difference in two population proportions at your place of employment?
If measurements are made instead on 4 separate days and the mean result is compared with the criterion 3.5, what is the probability that Judy is diagnosed as hypokalemic?
The student is studying education, is 0.8. What is the conditional probability that the student is studying education, given that she is a woman?
An aquarium tank can hold 7700 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can fill the tank in 77 minutes.
The number of cell phone minutes used by high school seniors follows a normal distribution with a mean of 500 and a standard deviation of 50. What is the probability that a student uses fewer than 600 minutes?
if 30 claims are selected, find the probability that 15 will contain 0 errors, 8 will contain 1 error, 5 will contain two errors and 2 will contain 3 errors.
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