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1. Consider the following questions concerning the sample variance:
a. Is it possible for a variance to be negative? Explain.
b. What is the smallest value a variance can be? Under what conditions does the variance equal this smallest value?
c. Under what conditions is the sample variance smaller than the corresponding sample standard deviation?
2. For a continuous variable that has a bell-shaped distribution, determine the percentiles associated with the endpoints of the intervals specified in the Empirical Rule.
3. Consider that the Empirical Rule stipulates that virtually all of the data values are within the interval m 3s. Use this stipulation to determine an approximation for the standard deviation involving the range.
A random sample of 80 observations from a normally distributed population produced a mean x(bar over the x)= 22.6 . Find a 95% confidence interval for the population mean m if the population standard deviation
A pie chart shows the market shares of cola products. The "slice" for Pepsi-Cola has a central angle of 90 degrees. What is its market share.
a researcher wishes to compare the effect of the rate of stepping on heart rate in a step-aerobics workout. a
You just saw an ad on television that states the majority of the population would vote to make smoking illegal. The poll that is referenced shows 53% of those asked supported making smoking illegal.
let x have the density fxx c2x 1 for 0 ? x ? 4 and fxx 0 otherwise where c is a constant.a find the value of c that
two methods of memorizing difficult material are being tested to determine if one method produces better retention.
Suppose that the number of cars, X, that pass through a car wash between 4:00pm and 5:00pm on any sunny Friday has the following probability distribution:
For a normal probability distribution, about 95 percent of the area under normal curve is within plus and minus two standard deviations of the mean and practically all (99.73 percent) of the area.
Cold Stone Creamery has recorded demand for the particular flavor of ice cream during first seven days of July. Results are as follows: Forecast the sales for 8th day of July using 5-day moving average.
A large population of overdue bills has balances that follow a normal curve. When we take a sample of 100 of these the average is $500 and the SD is $100.
The company statistician has reported the mean number of man-hours lost per month but did not keep a record of the total sum. Should the manager order the study repeated to obtain the desired information? Explain your answer clearly.
Calculation of Average Per Diem Cost of Business Class Travel
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