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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.
Determine the confidence interval for population mean and the Superintendent wants to determine the average amount of hours per week the student population studies at home.
The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older.
Formulating null and alternative hypothesis to test the claim averaging about $5000.
Use the value 20 for the population standard deviation of scores on this subsection.
Sample of 36 packages reveals mean weight to be 3.01 pounds, with standard deviation of 0.03 pounds. What is the estimated population mean?
For the data giben below, prepare a R-chart. Note that the sample size is three.
What fraction of the calls last between 4.2 and 5 minutes?
Mean threshold values and standard deviations for the three groups are given below. Normal probability plots showed the three populations were well approximated by the Normal distribution.
Use simple exponential smoothing with α = 0.3 to forecast battery sales for February through May. Assume that the forecast for January was for 22 batteries.
What is the probability that the cereal would be high calorie? In other words, what is P (high calorie)?
Difference in the mean number of times men and women order take-out dinners in a month? What is the p-value?
Determine the probability, P(Z
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