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Q1) Consumer watchdog organization wishes to see whether Bank N in northern part of a state has higher default rate than Bank S in southern part of that same state. Researchers for group sample proportion of defaults on loans at both banks. Out of 100 loans for Bank N, they determine 30 have defaulted; out of 100 loans for Bank S, they find 20 have defaulted. Complete hypothesis test using a 5% level for risk with directional research hypothesis.
a) H0:
b) H1:
c) Critical Value: t =
d)Test Statistic (Show procedure.): t =
e) Decision on H0:
f) Conclusion on the problem:
2) Find out the probability that random variable having standard normal distribution is between .87 and 1.28?
Q2) Assume the daily change in price of stock is normally distributed with mean = .20 and standard deviation = .30. What price change is associated with 25th percentile? What Z score is associated with 25th percentile?
Determine the value of the finite population correction factor if population size is 1000 and the sample size is 300? What is the smallest sample size for which finite population correction factor must be Used?
What can you conclude regarding the information? Who tends to order the most or least number of condiments?
The average age of the students in the sample was 23 with a standard deviation of 3.5: a) Formulate the hypotheses for this problem.
Draw a normal probability plot for residuals using excel or Minitab. Do the residuals seem normally distributed? If yes, why?
Find out which (t-, z- or neither) distribution is suitable Then if you can utilize either a t- or z- distribution, provide associated critical value (critical t- or z- score) from that distribution to reach given confidence level.
At the .05 significance level, is the number of units produced on the afternoon shift larger?
In a binomial distribution n = 8 and π = 0.2. Determine the probabilities of the following events.
In textile industry, a manufacturer is interested in the number of blemishes or flaws occurring in each 100 feet of material. Of the following probability distributions, the one that most applies to this situation is the.
Suppose that 46 percent of families living in a certain country own a car and 18 percent own an SUV. The Addition Rule might suggest, then, that 64 percent of families own either a car or an SUV. What's wrong with that reasoning.
The standard deviation of the differences d for the paired sample data s d = ____________
A range of values constructed from sample data so that the parameter occurs within that range at a specified probability is:
Four properties are randomly selected from each neighborhood and the ratios recorded for each as follows:
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