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From her firm’s computer telephone log, an executive found that the mean length of 64 telephone calls during July was 4.48 minutes with a standard deviation of 5.87 minutes. She vowed to make an effort to reduce the length of calls. The August phone log showed 48 telephone calls whose mean was 2.396 minutes with a standard deviation of 2.018 minutes. (a) State the hypotheses for a right-tailed test. (b) Obtain a test statistic and p-value assuming unequal variances. Interpret these results using α = .01. (c) Why might the sample data not follow a normal, bell-shaped curve? If not, how might this affect your conclusions?
Your boss tells you the margin of error is too large and wants it reduced to 3%. How many additional adults would you need in your sample to reduce the error to 3%?
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.
The national average for the price of a gallon of unleaded regular gas is $1.16. I believe the price is higher in my area of the country. I want to test my claim by randomly selecting gas prices for 25 stations in my area. The following prices are..
Preference to change blades is recorded. Do the data support the twin-blade manufacturer's claim? α=.05. This is a t-tests independent samples.
Bakery is a random variable X that has an exponential distribution with mean equal to 4 tons. The cost of the flour is proportional to Y=3X+1.
For the past 20 years, the high temperature on April 15th has averaged (j = 62 degrees with a standard deviation of a = 8. Last year, the high temperature was 66 degrees.
An average computer mouse inspector can inspect 50 mice per hour. The 48 computer mice inspectors at a particular factory can only insppect 46 mice per hour with a standard deviation of 10.
Suppose the assembly times follow normal distribution. Find out z values for 29 and 34 hours. What percent of garages take between 32 hours and 34 hours to erect?
Choose a new car or light truck at random and note its color. Here are the probabilities of the most popular colors for vehicles. Choose two vehicles at random. What is the probability that both are silver or both are white?
Samples of size 49 are taken from a population with a σ of 17. If the mean of the sample is 25, what is the confidence interval at the 90% confidence level
Duplicate readings, using two separate instruments, were obtained on ten samples. What is the tabular value of the statistic used to determine the significance of the mean difference at the .05 level of probability?
Then suppose that a sample of 4000 women had produced the sample mean 275, and again give the 95% confidence interval for the population mean. What can you say about the effect of sample size on confidence intervals?
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