Question

Question 5: Assume that you make candy bars; the advertised weight of the candy bar is 4.0 ounces with a standard deviation (sigma) of 2.35 oz. however your production manager thinks that this is not true; he thinks the candy bars are over-weight, they weigh more than 4.0 oz. To test his claim, you decided to randomly select a sample of 126 candy bars, the average weight (x-bar) is 4.5 oz. At an alpha (a) of 0.01 what do you conclude? (1 point each for a total of 4 points)

a) Ho:                                              ; Ha:                                 

b) Critical Value for Decision Making:                                 

c) Calculated Test Statistic:                                                   

d) Conclusion:                                                                        

Question 6: Historically, according to the Graduate School Association, most graduate students attend schools within 70 miles of their homes with a standard deviation of 21.08 miles. You teach at SIU in the Nursing Program and believe this is not true, you think the mileage is less than 70 miles. To test your hunch, you conduct a study among 150 randomly selected students in the program and calculate that, on average, they live 74.31 miles from the campus. At an alpha of 0.10 what can you conclude? (1 point each for a total of 4 points)

a) Ho:                                              ; Ha:                                 

b) Critical Value for Decision Making:                                 

c) Calculated Test Statistic:                                                   

d) Conclusion:                                                                        

For the following scenarios write the Ho & Ha, identify the critical value (CV) used for the decision rule, calculate the t-value test statistic and state a conclusion. Write your answer in the spaces provided.

Question 7: The purchase of a coin-operated laundry is being considered by a potential entrepreneur. The present owner claims that over the past 5 years the average daily revenue has been $675 but the potential buyer thinks it is less. A sample of 30 selected days revenue reveals a daily average revenue of $625 with a sample standard deviation of $110. Is there overwhelming evidence at the 0.05 level to support the Bureau’s claim? (1 point each for a total of 4 points)

a) Ho:                                              ; Ha:                                 

b) Critical Value for Decision Making:                                 

c) Calculated Test Statistic:                                                   

d) Conclusion:                                                                        

Question 8: The Better Business Bureau has received several complaints that a flour company is lax in filling their five-pound bags of flour. They think the bags are under filled. The Bureau randomly selects 41 bags of flour and determines the weight of each bag. The sample average weight of the bags is 4.85 pounds with a standard deviation of 1.8 pounds. Is there overwhelming evidence at the 0.01 level to support the Bureau’s claim? (1 point each for a total of 4 points)

a) Ho:                                              ; Ha:                                 

b) Critical Value for Decision Making:                                 

c) Calculated Test Statistic:                                                   

d) Conclusion:                                                                        

Question 9: Tomatoes are grown in Florida for shipment to other parts of the country by the Anderson Produce Company. The company wants to make certain its weighing process is in control and are not shipping out over or under weight boxes, therefore a random sample of 46 boxes is selected at one warehouse for weighing. The average weight for the sample is 33.5 pounds per box with a standard deviation of 3.9 pounds. The company’s standard for tomatoes in this run is 33 pounds. At an alpha of 0.02 what do you conclude? (1 point each for a total of 4 points)

a) Ho:                                              ; Ha:                                 

b) Critical Value for Decision Making:                                 

c) Calculated Test Statistic:                                                   

d) Conclusion:                                                                        

For the following scenarios write the Ho & Ha, identify the critical value (CV) used for the decision rule, calculate the p-test statistic or Test of Proportions, and state a conclusion.

Question 10: Approximately 70% of students that take the Praxis I assessment fail it the first time they take it. You feel the failure rate is much less. To test your claim, you decide to randomly sample 200 students taking Praxis I for the first time at State University. You discover that 130 of them failed the test. Using this information, you decide to conduct a Test of Proportions at an alpha of 0.05. What do you conclude? (1 point each for a total of 4 points)

a) Ho:                                              ; Ha:                                 

b) Critical Value for Decision Making:                                 

c) Calculated Test Statistic:                                                   

d) Conclusion:                                                                        

Question 11: At Bethany Beach the town mayor claimed that 63% of the beach homes are occupied year-round by its owners. As a long-term resident, you believe it is not 63% but some other value. To test your claim, you randomly sample 120 homeowners and find that 64 live in their beach homes year-round. What can you conclude at an alpha of 0.05? (1 point each for a total of 4 points)

a) Ho:                                              ; Ha:                                 

b) Critical Value for Decision Making:                                 

c) Calculated Test Statistic:                                                   

d) Conclusion:                                                                        

Answer 1