Find whether the sample data indicate that the
Perform a hypothesis test to see whether the mean number of transactions per customer is more than 10 per month.
Check whether the mean number of transactions per customer is more than 9 per month.
Find whether there is any difference in the mean checking account balances among the four branches. Also find the pair of branches where these differences occur.
Check whether there is a difference in ATM usage among the four branches.
Find whether there is a difference in ATM usage between the customers who have debit cards and who do not have debit cards.
Find whether there is a difference in ATM usage between the customers who pay interest verses those who do not pay.
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Statistical Techniques in Business and Economics
- (c) Utilize Fubini's Theorem to demonstrate that E(X)= = (1- F(x))dx.arrow_forward(c) Describe the positive and negative parts of a random variable. How is the integral defined for a general random variable using these components?arrow_forward26. (a) Provide an example where X, X but E(X,) does not converge to E(X).arrow_forward
- (b) Demonstrate that if X and Y are independent, then it follows that E(XY) E(X)E(Y);arrow_forward(d) Under what conditions do we say that a random variable X is integrable, specifically when (i) X is a non-negative random variable and (ii) when X is a general random variable?arrow_forward29. State the Borel-Cantelli Lemmas without proof. What is the primary distinction between Lemma 1 and Lemma 2?arrow_forward
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