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1.) An office manager wishes to estimate the mean time required to handle customer complaints. A sample of 38 complaints shows a mean time of 28.7 minutes with a standard deviation of 12 minutes.
a) Construct a 90% confidence interval for the true mean time required to handle customer complaints.b) How large a sample should be taken, if the manager wishes to estimate the mean time to handle a complaint to within +/- one minute? Assume that the confidence interval is to be 90%.
2.) A hospital claims that the average length of stay is 5 days. A study of the length of stay for a random sample of 25 patients found the mean stay to be 6.2 days with a standard deviation of 1.2 days. Do these data present sufficient evidence to support the hospital's claim? Use a 0.05 significance level.
3.) A survey was conducted to determine the proportion of registered nurses in a particular state that are actively employed. A random sample of 400 nurses selected from the state registry showed 274 actively employed. Find a 95% confidence interval estimate for the true proportion of registered nurses actively employed in the state.
A savings account was opened for a baby on 1985 with a $100 deposit. No withdrawals or deposits occurred since the account was opened. The current balance of the account is $246.47. Measured in dollars of the year in which the account was opened, how..
At a particular location on a river the number of fish caught per man-hour of fishing effort has a Poisson distribution with ?= 1.3 fish per man hour. Find the following probabilities:
What would be the correct null and alternative hypothesis for the following situation: The sample has a mean of 72.3 mph and a standard deviation of 7.4 mph. Use a 0.05 significance level to test the claim that the mean speed of all cars is greate..
A sample of 64 Atlanta consumers showed a mean quarterly water bill of $51 with a sample standard deviation of $12. At α = .05, does the Atlanta sample support the conclusion that above-average rates exist for this private water system?
Monte Carlo sampling makes the assumption that all parameters of an alternative are: A. Independent B. Dependent C. Equal to 1.0 D. Probability distribution
In fitting the simple linear regression model Yi ~ N (α + β xi, σ 2 ) to the following data:
Compute the 99% confidence interval for the percentage of packages that are delivered damaged in the population.
The kinds of statistical methods that were used to formulate the author's argument.
Critically discuss some examples of descriptive statistics? Why are they used in research? What is a confidence interval?
Assume that you have selected 10 students enrolled at your college and have collected data for these three variables:
Let z represent the standard normal variable and suppose a value is randomly selected. Find each of the following probabilities by:
Determine the probability that of a Type I error using decision rule if population mean is in fact 800 kilowatts per day?
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