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The Florida Credit Bank is concerned about the quality of service provided to its customers. With the old computer system, a teller at this bank could serve, on the average, 18 customers per hour. Management recently installed a new computer system in the bank expecting that it would increase the service rate. To check if the new computer system is more efficient than the old system, the management of the bank took a random sample of 20 hours and found that during these hours the mean number of customers served by tellers was 25 per hour with a standard deviation of 2.5. Use a 1% level of significance. The hypothesis is that the average number of customers served per hour is 24 or less against the alternative hypothesis that the mean number of customers waiting is greater than 24.
A presidential candidate's aide estimates that, among all college students, the proportion p who intend to vote in the upcoming election is at most 65%.
Two independent samples of sizes n1 = 50 and n2 = 50 are randomly selected from two populations to test the difference between the population means. The sampling distribution of the sample mean difference, is:
Assume grades in college accounting class are normally distributed with a mean of 82 and a standard deviation of 7. what is the probability that a randomly selected student from this class will have a grade lower than 65?
Generate a 95% confidence interval for the true mean total cholesterol levels in children.
Individual loss amounts (ground up) this year follow an inverse Weibull distribution with τ= 3 and expected value 1000. Next year you con?fidently expect loss amounts to in?ate by 10% uniformly across the board.
Report the test statistic and p-value. What is your decision and conclusion? State any assumptions you have made. Are these assumptions satisfied with these data?
An entrepreneur in a developing country owns 10 food carts. He has ten employees to work with these food carts. Let Xi be a random variable representing revenue from cart i (on a particular day), i = 1,..., 10. Xi is approximately normally distrib..
David Gallano, a wine merchant, has collected opinions on grape wine quality from a sample of his customers. These customers tasted wine made from grapes grown in three regions of the country.
Assume the sample is taken from a normally distributed population. Construct 98% confidence intervals for (a) the population variance o2 and (b) the population standard deviation.
The company can either settle out of court for $250,000 or go to court. If the company goes to court and loses, it must pay $825,000 plus $175,000 in court costs. If it wins in court the plaintiffs pay the court costs. Identify the states of natur..
Find the number z such that 22% of all of observations that are less than z in a standard observations from a standard normal normal distribution is 0.98.
How would you find the normal approximation to the binomial probability P(x = 5) in part A? Please show how you would calculate µ and σ in the formula for the normal approximation to the binomial, and show the final formula you would use without g..
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