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A large university reports that the mean annual income of parents of an entering class is $91,600. To see how this compares to his university, the president commissions a survey of n = 31 randomly selected families, and finds that their average income is x = $88,500 with a sample standard deviation of s = $10,000. Can the president conclude that the average family income at his school is significantly different than the population mean family income of the reported university?
Suppose that 20% of the population has high blood pressure. If 7 people are randomly selected off the street, what is the probability that more than 4 of them do not have high blood pressure?
The U.S. Commission of Crime wishes to estimate the fraction of crimes related to firearms in an area with one of the highest crime rates in the country.
If the mean lifetime of this type of component is 100 hours and its standard deviation is 19 hours, how many of these component must be in stock so that the probability of the system is in continual operations for the next 2,000 hours is at least ..
Compute the Kappa statistic and its standard error regarding reproducibility of the diagnosis of dyspnea in the clinic.
A researcher claims that the average age of people who buy lottery tickets is 70. A sample of 30 is selected and their ages are recorded as shown below.
What is the 95% confidence interval for the standard deviation of birth weights at County General Hospital, if the standard deviation of the last 25 babies born there was 1.1 pounds.
Class finds 54% of 450 randomly selected voters are in support. Both groups will create 95% confidence intervals. Which group concludes that the outcome is too close to call? Why?
Suppose that you perform a significance test regarding a population mean, and that the evidence does not warrant rejection of the null hypothesis.
A financial analyst is interested in estimating the average amount of a foreign loan by U.S. banks. Construct the Stratum weights for proportional allocation
Eighteen first interviews are usually scheduled per day. What is the probability that the average length of time for the eighteen interviews will be 40 minutes or longer?
A sample of 500 respondents in a large metropolitan area was selected to study consumer behavior. Among the questions asked was "do you enjoy shopping for clothing?" Of 240 males, 136 answered yes.
An election poll reported that a candidate had an approval rating of 49% with a margin of error E of 2%. Construct a confidence interval for the proportion of adults who approve of the candidate.
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