Question 1It is widely assumed that the average cost to produce a film is $60 million. A random sample of 15 action movies was selected and they had an average production cost of $62.3 million with a standard deviation of $3.25 million. At the 0.05 level of significance, can it be concluded that it costs more than average to produce an action movie?Question 2Suppose a fair six-sided die is tossed to see if it fair. We roll the die 300 times and observe the frequency of occurrence of each of the faces. Since the die contains six sides, we expect that the number on each side will occur 50 times. The following frequencies were observed: Face value Occurrence1 422 553 384 575 646 44 Conduct a Chi-sq Goodness of Fit test to see if the die should still be considered fair.Question 3An analyst wanted to analyze the relationship between the speed of a car (x) measured in mph and its gas mileage (y). As an experiment a car is operated at several different speeds and for each speed the gas mileage is measured. These data are shown below. Speed 25 35 45 50 60 65 70Gas Mileage 40 39 37 33 30 27 25What is the dependent variable?What is the independent variable?Question 4The following output was generated using statistical software. Coefficients Standard Error t Stat P-value Intercept 50.65625 1.891010513 26.79 0.13529Speed -0.353125 0.036201476 -9.754 0.00019 List the prediction equation for gas mileage based on speed.What gas mileage is expected for a vehicle traveling 80 mph?Is speed a good predictor of gas mileage based on the output? Explain your answer. Question 5A tobacco company claims that its best-selling cigarettes contain less than 40mg of nicotine. This claim is tested at the 1% significance level by using the results of 15 randomly selected cigarettes. The mean is 42.6 mg and the standard deviation is 3.7mg. Evidence suggests that nicotine is normally distributed. Is there enough evidence from this study to support the claim of the tobacco company? Question 6A survey of 15 large U.S. cities finds that the average commute time one way is 25.4 minutes. A chamber of commerce executive feels that the commute in his city is less and wants to publicize this. He randomly selects 25 commuters and finds the average is 22.1 minutes with a standard deviation of 5.3 minutes. At alpha = 0.10, is he correct? Question 7An educator claims that the average salary of substitute teachers in school districts in Allegheny County, PA is less than $60 per day. A random sample of eight school districts is selected, and the daily average salary (in dollars) is $58.88 with a sample standard deviation of $5.08. Set alpha = 0.10 for this test. Is there enough evidence to support the educator’s claim?

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Question 1It is widely assumed that the average cost to produce a film is $60 million. A random sample of 15 action movies was selected and they had an average production cost of $62.3 million with a standard deviation of $3.25 million. At the 0.05 level of significance, can it be concluded that it costs more than average to produce an action movie?Question 2Suppose a fair six-sided die is tossed to see if it fair. We roll the die 300 times and observe the frequency of occurrence of each of the faces. Since the die contains six sides, we expect that the number on each side will occur 50 times. The following frequencies were observed: Face value Occurrence1       422       553       384       575       646       44 Conduct a Chi-sq Goodness of Fit test to see if the die should still be considered fair.Question 3An analyst wanted to analyze the relationship between the speed of a car (x) measured in mph and its gas mileage (y). As an experiment a car is operated at several different speeds and for each speed the gas mileage is measured. These data are shown below. Speed  25  35  45  50  60  65  70Gas Mileage  40  39  37  33  30  27  25What is the dependent variable?What is the independent variable?Question 4The following output was generated using statistical software.                  Coefficients     Standard Error     t Stat       P-value Intercept   50.65625         1.891010513       26.79       0.13529Speed       -0.353125        0.036201476      -9.754      0.00019 List the prediction equation for gas mileage based on speed.What gas mileage is expected for a vehicle traveling 80 mph?Is speed a good predictor of gas mileage based on the output? Explain your answer. Question 5A tobacco company claims that its best-selling cigarettes contain less than 40mg of nicotine.  This claim is tested at the 1% significance level by using the results of 15 randomly selected cigarettes.  The mean is 42.6 mg and the standard deviation is 3.7mg.  Evidence suggests that nicotine is normally distributed.  Is there enough evidence from this study to support the claim of the tobacco company? Question 6A survey of 15 large U.S. cities finds that the average commute time one way is 25.4 minutes.  A chamber of commerce executive feels that the commute in his city is less and wants to publicize this.  He randomly selects 25 commuters and finds the average is 22.1 minutes with a standard deviation of 5.3 minutes.  At alpha = 0.10, is he correct? Question 7An educator claims that the average salary of substitute teachers in school districts in Allegheny County, PA is less than $60 per day.  A random sample of eight school districts is selected, and the daily average salary (in dollars) is $58.88 with a sample standard deviation of $5.08.  Set alpha = 0.10 for this test.  Is there enough evidence to support the educator’s claim?

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