Image of logo.

Business Smarts!

                                Max Your Grade!

 

Sample Questions

 

Statistics I

 

More of the Hypothesis Statement

 

1) A bolt manufacturer makes a bolt 16 millimeters long. The quality control manager wants to verify that the machine is producing bolts that, in fact, 16 millimeters long. What is the hypothesis statement the manager should use?

 a)  H0: μ ≠ 16 mm.
       HA: μ = 16 mm.
 b)  H0: μ = 16 mm.
       HA: μ ≠ 16 mm.
 c)  H0: μ = 8 mm.
       HA: μ ≠ 8 mm.
 d)  H0: μ ≥ 16 mm.
       HA: μ < 16 mm.
 e)  None of the above.



2) A breakfast cereal producer sells a 24 ounce package. The quality control manager wants to verify that the machine is, in fact, filling boxes with 24 ounces of cereal. What is the hypothesis statement the manager should use?

 a)  H0: μ = 24 kg.
       HA: μ ≠ 24 kg.
 b)  H0: μ ≤ 24 oz.
       HA: μ > 24 oz.
 c)  H0: μ = 24 oz.
       HA: μ ≠ 24 oz.
 d)  H0: μ ≠ 24 oz.
       HA: μ = 24 oz.
 e)  None of the above.



3) A bottle manufacturer makes a bottle with a volume of 550 milliliters that is intended to be filled with 500 milliliters of beverage. The quality control manager wants to verify that the machine is producing bottles that have a volume of 550 milliliters. What is the hypothesis statement the manager should use?

 a)  H0: μ = 550 mm.
       HA: μ ≠ 550 mm.
 b)  H0: μ = 500 mm.
       HA: μ ≠ 500 mm.
 c)  H0: μ ≠ 550 mm.
       HA: μ = 550 mm.
 d)  H0: μ ≥ 550 mm.
       HA: μ < 550 mm.
 e)  None of the above.



4) The market research department of a fast food restaurant chain is surveying its customers to determine whether an extra large size sandwich would be a viable new menu item. Interpret 'viable' to mean that the sandwich will earn more than a 12% rate of return in its first year. What is the hypothesis statement the research manager should use?

 a)  H0: μ = 12%.
       HA: μ ≠ 12%.
 b)  H0: μ ≤ 12%.
       HA: μ > 12%.
 c)  H0: μ ≥ 12%.
       HA: μ < 12%.
 d)  H0: μ > 12%.
       HA: μ ≤ 12%.
 e)  None of the above.



5) The market research department of a fast food restaurant chain is surveying its customers to determine whether its current advertising campaign increased sales by more than 10%. What is the hypothesis statement the research manager should use?

 a)  H0: μ ≤ 12%.
       HA: μ > 12%.
 b)  H0: μ > 10%.
       HA: μ ≤ 10%.
 c)  H0: π ≤ 10%.
       HA: π > 10%.
 d)  H0: μ ≤ 10%.
       HA: μ > 10%.
 e)  None of the above.



6) The market research department of a fast food restaurant chain finds that women make up 27% of its current customers. The marketing manager is surprised because the market research of prior years showed that women made up 23% of its customers. What is the hypothesis statement the research manager should use?

 a)  H0: π ≤ 27%.
       HA: π > 27%.
 b)  H0: π ≤ 23%.
       HA: π > 23%.
 c)  H0: π > 23%.
       HA: π ≤ 23%.
 d)  H0: π = 23%.
       HA: π ≠ 23%.
 e)  None of the above.



7) A local fire department has a current goal of at least 93% compliance with smoke detector regulations. It samples several households. What is the hypothesis statement the fire chief should use?

 a)  H0: π < 93%.
       HA: π ≥ 93%.
 b)  H0: μ ≥ 93%.
       HA: μ < 93%.
 c)  H0: π ≥ 93%.
       HA: π < 93%.
 d)  H0: π ≤ 93%.
       HA: π > 93%.
 e)  None of the above.



8) A local police department set up drunk driver sweeps hoping to find at most 10% of drivers impaired. What is the hypothesis statement the police chief should use?

 a)  H0: π ≥ 10%.
       HA: π < 10%.
 b)  H0: π > 10%.
       HA: π ≤ 10%.
 c)  H0: π ≤ 10%.
       HA: π > 10%.
 d)  H0: π ≤ 8%.
       HA: π > 8%.
 e)  None of the above.



9) A local school district has a goal of at least 80% of its teachers being certified after 1 year of service. It draws a sample of teachers. What is the hypothesis statement the district commissioner should use?

 a)  H0: π ≥ 80%.
       HA: π < 80%.
 b)  H0: π > 80%.
       HA: π ≤ 80%.
 c)  H0: π ≤ 80%.
       HA: π > 80%.
 d)  H0: π ≥ 20%.
       HA: π < 20%.
 e)  None of the above.



10) A state transportation department weighs trucks travelling on highways to enforce weight regulations. It has a goal of at most 18% of trucks being overweight. What is the hypothesis statement the highway transportation director should use?

 a)  H0: π > 18%.
       HA: π ≤ 18%.
 b)  H0: π = 18%.
       HA: π ≠ 18%.
 c)  H0: π ≤ 18%.
       HA: π > 18%.
 d)  H0: π ≥ 18%.
       HA: π < 18%.
 e)  None of the above.



11) A financial oversight agency monitors credit card fees. It has received complaints that one company is charging execessive fees. The agency draws a sample of card holders to determine if the average fee charged exceeds 2.5% per month. What is the hypothesis statement the agency director should use?

 a)  H0: μ ≥ 2.5%.
       HA: μ < 2.5%.
 b)  H0: μ > 2.5%.
       HA: μ ≤ 2.5%.
 c)  H0: μ ≤ 1.5%.
       HA: μ > 1.5%.
 d)  H0: μ ≤ 2.5%.
       HA: μ > 2.5%.
 e)  None of the above.



12) A taxicab oversight agency monitors taxi meters. It has received complaints that one company has altered its meters and is charging higher than the posted rate. The agency draws a sample of meters to determine if the rate they charged exceeds $4.00 per mile. What is the hypothesis statement the agency director should use?

 a)  H0: μ > $4.00.
       HA: μ ≤ $4.00.
 b)  H0: μ ≤ $4.00.
       HA: μ > $4.00.
 c)  H0: μ ≥ $4.00.
       HA: μ < $4.00.
 d)  H0: μ = $4.00.
       HA: μ ≠ $4.00.
 e)  None of the above.



13) A group of consumers believe a local gasoline station owner has altered his pumps to deliver less than a liter of product. They hired an analyst to draw a sample of gasoline from the pumps to determine that a liter of gas was actually 1.0 liters. What is the hypothesis statement the analyst should use?

 a)  H0: μ < 1.0 liters.
       HA: μ ≥ 1.0 liters.
 b)  H0: μ = 1.0 liters.
       HA: μ ≠ 1.0 liters.
 c)  H0: μ ≥ 1.0 liters.
       HA: μ < 1.0 liters.
 d)  H0: μ ≤ 1.0 liters.
       HA: μ > 1.0 liters.
 e)  None of the above.



14) A pharmaceutical company has received reports of illness among customers using its product. Contamination by a cleaning agent is suspected. The company's legal department draws a sample of the product looking for evidence that the amount of cleansing agent in the product is below the safe threshold of 4.5 ppm. What is the hypothesis statement the legal department manager should use?

 a)  H0: μ ≥ 2.5 ppm.
       HA: μ < 2.5 ppm.
 b)  H0: μ ≤ 4.5 ppm.
       HA: μ > 4.5 ppm.
 c)  H0: μ = 4.5 ppm.
       HA: μ ≠ 4.5 ppm.
 d)  H0: μ < 4.5 ppm.
       HA: μ ≥ 4.5 ppm.
 e)  None of the above.



15) An auto parts manufacturer is obliged to meet strict tolerances on the dimensions of its parts. The quality control manager draws a sample from each shipment to determine whether the parts' dimensions meet the tolerance limit of 0.5 mm. What is the hypothesis statement the quality control manager should use?

 a)  H0: μ ≥ 0.25 mm.
       HA: μ < 0.25 mm.
 b)  H0: μ < 0.5 mm.
       HA: μ ≥ 0.5 mm.
 c)  H0: μ ≤ 0.5 mm.
       HA: μ > 0.5 mm.
 d)  H0: μ ≥ 0.5 mm.
       HA: μ < 0.5 mm.
 e)  None of the above.



16) A financial oversight agency monitors credit card fees. It has received complaints that one company is charging execessive fees. That company's legal department draws a sample of card holders to determine if the average fee charged exceeds 2.5% per month. What is the hypothesis statement the company's legal counsel should use?

 a)  H0: μ ≥ 2.5%.
       HA: μ < 2.5%.
 b)  H0: μ < 2.5%.
       HA: μ ≥ 2.5%.
 c)  H0: μ = 2.5%.
       HA: μ ≠ 2.5%.
 d)  H0: μ ≤ 2.5%.
       HA: μ > 2.5%.
 e)  None of the above.



17) A taxicab oversight agency monitors taxi meters. It has received complaints that one company has altered its meters and is charging higher than the posted rate. The taxicab company draws a sample of meters to determine if the rate they charged exceeds $4.00 per mile. What is the hypothesis statement the company manager should use?

 a)  H0: μ < $4.00.
       HA: μ ≥ $4.00.
 b)  H0: μ ≤ $4.00.
       HA: μ > $4.00.
 c)  H0: μ ≥ $4.00.
       HA: μ < $4.00.
 d)  H0: μ = $4.00.
       HA: μ ≠ $4.00.
 e)  None of the above.



18) A group of consumers believe a local gasoline station owner has altered his pumps to deliver less than a liter of product. The gasoline station owner hired an analyst to draw a sample of gasoline from the pumps to determine that a liter of gas was actually 1.0 liters. What is the hypothesis statement the analyst should use?

 a)  H0: μ > 1.0 liters.
       HA: μ ≤ 1.0 liters.
 b)  H0: μ = 1.0 liters.
       HA: μ ≠ 1.0 liters.
 c)  H0: μ ≥ 1.0 liters.
       HA: μ < 1.0 liters.
 d)  H0: μ ≤ 1.0 liters.
       HA: μ > 1.0 liters.
 e)  None of the above.



19) A pharmaceutical company has received reports of illness among customers using its product. Contamination by a cleaning agent is suspected. The company's customers hire a law firm looking for evidence that the amount of cleansing agent in the product is above the safe threshold of 4.5 ppm. What is the hypothesis statement the law firm should use?

 a)  H0: μ = 4.5 ppm.
       HA: μ ≠ 4.5 ppm.
 b)  H0: μ ≤ 4.5 ppm.
       HA: μ > 4.5 ppm.
 c)  H0: μ ≥ 4.5 ppm.
       HA: μ < 4.5 ppm.
 d)  H0: μ < 4.5 ppm.
       HA: μ ≥ 4.5 ppm.
 e)  None of the above.



20) An auto parts manufacturer is obliged to meet strict tolerances on the dimensions of its parts. The car manufacturer draws a sample from each shipment to determine whether the parts' dimensions meet the tolerance limit of 0.5 mm. What is the hypothesis statement the receiving manager should use?

 a)  H0: μ ≤ 0.5 mm.
       HA: μ > 0.5 mm.
 b)  H0: μ ≥ 0.5 mm.
       HA: μ < 0.5 mm.
 c)  H0: π ≤ 0.5 mm.
       HA: π > 0.5 mm.
 d)  H0: μ > 0.5 mm.
       HA: μ ≤ 0.5 mm.
 e)  None of the above.






 

 

Return to Sample Module.