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1. A researcher is interested in estimating noise levels in decibels at area urban hospitals. She wants to be 90% confident that her estimate is correct. If the standard deviation is 4.13, how large a sample is required to get the desired information to be accurate within 0.68 decibels?
2. Assume that the population of heights of male college students is approximately normally distributed with mean m of 73.63 inches and standard deviation s of 6.73 inches. A random sample of 97 heights is obtained.
a) Find the mean and standard error of the x bar distribution
b) Find P(x bar > 73.50)
Most of the time managers will have initial (or prior) knowledge of the probabilities that an event or outcome will result. When new information is obtained, initial probability projections can be revised and improved. What statistical techniques ..
Pilot sample of n = 50 tires illustrated sample standard deviation equal to 4,000 miles. Based on this information, required sample size is?
A random sample of 16 ages is drawn from the population, and we find the sample mean of these observations to be μ = 8.76. What is the value of the test statistic?
When investigating the distribution of a data set, which is more effective: a frequency distribution or a histogram? Why?
What happens to the probability of getting exactly 50% heads?
What is approximately the largest sample mean of another sample of n= 16 participants you would expect to obtain from this finite population?
Do the data indicate a significant difference between the frequency distributions for male and females? Test at the .05 level of significance and describe the difference.
Sampling distributions. Given a normal distribution with μ = 50 and standard deviation σ = 9, if a sample of n = 100 is selected.
The average gas mileage of a certain model car is 29.0 miles. If the gas mileages are normally distributed with a standard deviation of 0.6 miles per gallon, find the probability that the car has a gas mileage of between 28.8 and 29.2 miles per ga..
A survey conducted by the American Automobile Association showed that the family of four spends an average of $215.60 per day while on vacation. Suppose a sample of 64 families of four vacationing at Niagara Falls results in a sample mean of $252...
Construct a 90% confidence interval to estimate the difference of (average number of gallons sold on weekdays - average number of gallons sold on weekends). Assume the population standard deviations are the same for both weekdays and weekends.
Obtain a test statistic and p-value assuming equal variances. Interpret these results.
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