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A recent article in Business Week listed the "Best Small Companies." We are interested in the current results of the companies' sales and earnings. A random sample of 12 companies was selected and the sales and earnings, in millions of dollars, are reported below.
COMPANY Sales ($millions) Earnings ($millions) COMPANY Sales ($millions) Earnings ($millions)Papa John International $89.2 $4.9 Checkmate Electronics $17.5 $2.6Applied Innovation 18.6 4.4 Royal Grip 11.9 1.7Integracare 18.2 1.3 M-Wave 19.6 3.5Wall Data 71.7 8.0 Serving-N-Slide 51.2 8.2Davidson Associates 58.6 6.6 Daig 28.6 6.0Chico's Fas 46.8 4.1 Cobra Golf 69.2 12.8
Let sales be the independent variable and earnings be the dependent variable.
a. Draw a scatter plot.b. Compute the coefficient of correlationc. Compute the coefficient of determination.d. Interpret the findings in (b) and (c).e. Determine the regression equation.f. For a small company with $50.0 million in sales, estimate the earnings.
A machine cuts circular filters from large rolls of material. If 7.3% of the filters fail to meet specifications, use the normal approximation to the binomial to compute the probability
What is an appropriate sample space for this experiment?
The lifetimes of light bulbs of a particular type are normally distributed with a mean of 370 hours and a standard deviation of 5 hours. What percentage of bulbs has lifetimes that lie within 1 standard deviation of the mean on either side?
Label and describeeach step of the hypothesis testing procedure, and be sure to specify whether this is a one-tailed or two-tailed test.
Find the minimum amount of water pumped in 30 days. Let y be the total number of gallons pumped x days after pumping being. Note that (0,0) is on graph of the equation.
The bacteria Escherichia coli are commonly found in the human bladder. Suppose that 3000 of the bacteria are present at time t-0. Then t minutes later, the number of bacteria present can be approximated by:
Explain your answer to someone who is familiar with the t test for a single sample, but not with the t test for independent means.
Design a Linear programming problem for the flair Furniture Company and find the combination of tables and chairs that the company must produce to maximize profits.
Thermometers are normally distributed with a mean of O Celsius and a standard deviation of 1. OO Celsius, Find the probability that a randomly selected thermometer reads between - 2.23 and - 1.25 and draw a sketch of the region. The probability is..
It is generally believed that electrical problems affect about 14% of new cars. An automobile mechanic conducts diagnostic tests on 128 new cars on the lot." What is the standard deviation for the sample proportion?
Obtain a test statistic and p -value. Interpret the results at α = .01.
At the 0.05 significance level, can Ms. Bridgend conclude that she is earning an average of more than $20 in tips?
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