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Select all of the following statements which you believe to be true. If the 95% confidence interval for the mean of a variable of interest obtained from a sample for values contains a hypothesized value, µ1, of the mean:
1. We are 95% certain that the sample mean lies within the interval
2. We are 95% certain that the true mean in the population equals µ1
3. We are 95% certain that the sample mean equals the population mean.
4. There is a 5% chance that the population mean lies outside this interval.
5. We can reject the null hypothesis that the true population mean equals m1 at the 5% level of significance.
The mean income of a group of sample observations is $500; the standard deviation is $40. According to Chebyshev's theorem, at least what percent of the incomes will lie between $400 and $600?
Company A is hoping to expand its operations and a small group of investors is visiting next week. You are tasked with the duty of explaining how Company A uses this information from a linear programming model to optimize its shipping.
The number of choco chips in an 18 ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1256 and a standard deviation of 129 chips, What is the probability that a randomly selected bag contains fewer than 1000 c..
A normal population has a mean of 75 and a standard deviation of 5. You select a sample of 40. Compute the probability that the sample mean is Between 74 and 76.
Compute the probability for the given frequency distribution.
According to a recent survey, the probability that a passengerfiles a complaint with the Department of Transportation about aparticular U.S. airline is .000014. Suppose 100,000 passengers whoflew with this particular airline are randomly contacted..
Use exponential smoothing to forcast Aug. income. Assume that the initial forecast for Feb. is $65,000. The smoothing constant selected is x=0.1
A prison official wants to estimate the proportion of cases of recidivism. In examining 250 convicts there are 65 cases. with 99% confidence interval what is the range? How do you figure this type of problem?
A scatterplot shows a set of data points that are clustered close to a line that slopes down to the right. Which of the following values would be closest to the correlation for these data?
Determine what analysis would you do on each problem (ie, one-sample z-test, one-sample t-test, proportion test, two-sample independent t-test, or paired test)?
Assume that both samples are independant simple random samples from populations having normal distributions.
Shaver Manufacturing, Inc., offers dental insurance to its employees. A recent study by the human resource director shows the annual cost per employee per year followed the normal probability distribution
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