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1. The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard deviation of 0.8 inches. A sample of 25 metal sheets is randomly selected from a batch. What is the probability that the average length of a sheet is between 30.08 and 30.32 inches long?
2. A small town has a population of 20,000 people. Among these 1,000 regularly visit a popular local bar. A sample of 100 people who visit the bar is surveyed for their annual expenditures in the bar. It is found that on average each person who regularly visits the bar spends about $2400 per year in the bar with a standard deviation of $200. Construct a 99 percent confidence interval around the mean annual expenditure in the bar.
You want to test the hypothesis that the mean age for teachers is equal to 50. If you take a sample of 64 observations and find a sample mean of 49
he life expectancy of a brand of hair dryer is normally distributed wiht a mean of four years and a standard deviation of 8 months.
An automobile manufacturer claims the variance in the fuel consumption for its vehicles is less than the variance of similar type vehicles from another competitor.
What is the probability that the first order will come on the fourth sales call of the day? Please show work and round to 4 decimal places.
Calculate the margin of error that would be used to determine a 95% confidence interval for the mean pulse rate of all women.
What is the probability that more than 88 cartons arrive in at least 5 of the next 6 months given normal distribution with mean of 80 cartons per month and standard deviation of 7 cartons per month?
The average age of the women was 45.582 with a standard deviation of 5.143. He uses this information to calculate a 95% confidence interval for the differnce in means, (-11.41, -5.422). The best interpretation of this interval is which of the foll..
Provide a discussion that supports the assumption that the variance of savings increases with family income.
In a study of check out scanners, 5 of 675 items were found to be overcharges, test at the 0.05 significance level, the claim that with scanners, 5% of sales are overcharges.
Suppose you are assisting the county assessor (whose job is to assess the value of properties for property tax purposes) in determining a model where the price of a single-family residential property in a given neighborhood can be predicted based on ..
If the auditor takes a simple random sample of 93 accounts, what is the probability that the mean of the sample will be within 110 dollars of the population mean?
An experiment was carried out to assess the effects of four tomato varieties and four planting densities on yield. There were 64 plots, and each of the 16 factor combinations was randomly assigned to 4 plots
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