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Assume the data have bell shaped distribution with a mean of 30 and a standard deviation of 5. Employ the empirical rule to determine the percentage of data within each of the following ranges: 20 to 40, 15 to 45, and 25 to 35.
Construct a 95% confidence interval estimate of the population mean life of the light bulbs.
Suppose a restaurant business succeeds 60% of the time. Suppose that there are three such restaurants open in your city. When they don't compete with one another, it is reasonable to believe that their relative success would be independent.
The standard deviation of the population of adult female height scores is 3 inches. A random sample of 50 women yields a mean height of 64 inches. Calculate the standard error of the mean.
An automotive expert claims that the large number of self-serve gasoline stations has resulted in poor automobile maintenance, and that the average tire pressure is more than 4 pounds per square inch (psi) below its manufacturer's specification.
A Correlation matrix (correlation, coefficients and probability level under the hypothesis rho = 0) for a company's sales force (age, years of service, and current sales) is given below. Comment.
What additional strategies (up to 3) you would propose that may increase validity of the findings.
A random sample of 52 groups gave a mean of $8.30 with a standard deviation of $2.42. Find a 90% confidence interval for the mean amount left by all groups.
This model is fit to the data using the method of least squares using statistical software, and the following ANOVA table is obtained
Bicycle helmet use. Table lists data from a cross-sectional survey of bicycle safety. The explanatory variable is a measure of neighbourhood socioeconomic status (variable_RFM). The response variable is "percent of bicycle riders wearing a helmet"..
Identify each of the random variables as continuous or discrete.
Sketch density curves that might explain distributions with fallowing shapes: symmetric, but with two peaks( i.e., two strong clusters of observations)
You take a random sample and perform a hypothesis test, getting a p-value of 0.2578. What is the appropriate conclusion? Conclude at the 5% level of significance.
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