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First National Bank and City National Bank are competing for customers who would like to open IRAs. Thirty two weeks are randomly selected for First National Bank and another 32 weeks are randomly selected for City National Bank. The total amount deposited into IRAs is noted for each week. A summary of data (deposits in thousands of dollars) from the survey is as follows: First National 1 = 4.1, σ1 = 1.2; City National 2 = 3.5, σ2 = 0.9. Use a 98% confidence interval to estimate the difference in the mean weekly deposits into IRAs for each bank.
The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store's credit card versus those customers using a national major credit card.
Jeweller desires to know how many of each item to make each week to maximize profit. Create the integer programming model for this problem (written in format similar to way Problems 1 and 2 were presented).
At the 0.10 level of significance, is the coin biased toward heads? Show your decision rule and calculations.
What fraction of the calls last between 4.2 and 5 minutes?
Also use the regression model to predict a student's average if he/she misses 4 classes.
Western residents reported that they were completely satisfied with their local telephone service. Find the 95% confidence interval for the difference in two proportions.
Given that this sample is extremely large, can the responses be considered to be representative of the population of the United States? Explain.
Probability using Z-score.Find the probabilities that a random variable Z having a standard normal distribution will take on a value.
Aggregate the opinions of the experts by computing the minimum, maximum, 25 th percentile, 50 th percentile, and 75 th percentile values.
Is there a significant difference the four testing conditions?
a) Test whether there is a difference between attitudes in the 2 cities. Use a 95% alpha. b) What does your result say about attitude consistency across cities?
Using Analysis of Variance (ANOVA) test at 5% level if there are important differences in mean sales calls made across the three branches.
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