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Acid rain caused by the reaction of certain air pollutants with rainwater, appears to be a growing problem in the northeastern united states. (Acid rain affects the soil and causes corrosion on exposed metal surfaces.) Pure rain falling through clean air registers a pH value of 5.7 (pH is a measure of acidity : 0 is acid; 14 is alkaline). Suppose water samples from 40 rainfalls are analyzed for pH, and x and s are equal to 3.7 and 0.5, respectively, find a 99% confidence interval for the mean pH in rainfall and interpret the interval.
The Restaurants McBurger says that the waiting time for customers is 3 minutes with a standard deviation of population 1 minute. The quality control department found in a sample of 50 clients that the average waiting time was 2.75 minutes.
The Oil Price Information Center reports the mean price per gallon of regular gasoline is $3.26 with a population standard deviation of $.18.
Build a 95% confidence interval for the mean of the population from the given sample data.
The population of IQ scores forms a normal distribution with a mean of µ = 100 and a standard deviation of o = 15. What is the probability of obtaining a sample mean greater than M = 105.
Find a 95% confidence interval for the true proportion of patients who experienced cotton mouth. Show your calculations and/or explain the process used to obtain the interval.
Is it reasonable for the manufacturer to claim that the drill bits will last 2.5 hours?
What role do z-scores play in this transformation of data from multiple distributions to the standard normal distribution? What is the relationship between z-scores and percentages?
Garbage quantity is approximately normally distributed. Find the probability that the mean from a sample of 30 families will have between 17 and 18 pounds of garbage.
At the time she was hired as a server, beth was told, "you can average more than $20 a day in tips." Over the first 35 days she was employed at the resturant, the mean daily amount of her tips was $24.85, with a standard deviation of $3.24.
What type of sampling was this study? What is your analysis of this approach? What are the advantages and disadvantages of this approach.
Calculate a 90% CI for the population proportion of Americans who believe there is intelligent life on other planets.
The average stock price for companies making up the S&P 500 is $30, and the standard deviation is $8.20. Assume the stock prices are normally distributed.
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