statistics

• Given the equation of a regression line is y = 3.5x – 5.4, and the correlation coefficient between x and y is -0.12, can I predict the value of y when x is 3? If so, do it. If not, say why not. (10 points)
• The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they studied for the exam. Construct a scatter plot for the data, and state whether you see a positive correlation, negative correlation, or no correlation. (10 points)

• I measured the relationship between the daily high temperature and sales of coffee from a street truck for 25 days. I found a correlation coefficient of -0.763. What does that tell you about their relationship? (10 points)
For #4 and #5: The systolic and diastolic blood pressures of 40 women were recorded. I calculated the equation of the regression line, = 0.534 x + 8.31, where x represents systolic blood pressure and y diastolic blood pressure, and I also created the following scatterplot.

• Can I use the regression line to predict the diastolic blood pressure of a woman whose systolic pressure is 120? If so, do it. If not, say why not. (10 points)

• Can I use it to predict the diastolic blood pressure of a woman whose systolic pressure is 63? If so, do it. If not, say why not. (10 points)

For questions 6-8 State the null and alternate hypotheses. Then perform a complete hypothesis test. Be sure you state your conclusion in words. (17 points each)

6) A brewery sells beer in bottles labeled 12 ounces. A government agency thinks that the brewery is cheating the customers by providing less than 12 ounces of beer. The agency selects 20 bottles, measures the contents, and finds a mean of 11.8 ounces with a standard deviation of 0.7 ounce. Use a 0.01 significance level to test the claim that the brewery is cheating.
7) A factory produces rods with a length of 33 centimeters and a standard deviation of 0.32 centimeters. A foreman wishes to determine whether the machine is working correctly, so he measures a random sample of 15 rods. He finds a mean length of 32.9 cm. At α=.10, is the machine malfunctioning?

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