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Sample Questions

 

Statistics I

 

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: The machine is producing bolts that are 16 millimeters long.
       HA: The machine is producing bolts that are not 16 millimeters long.

 b)  H0: The machine is producing bolts that are not 16 millimeters long.
       HA: The machine is producing bolts that are 16 millimeters long.

 c)  H0: The machine is producing screws that are 16 millimeters long.
       HA: The machine is producing screws that are not 16 millimeters long.

 d)  H0: The machine is producing bolts that are 18 millimeters long.
       HA: The machine is producing bolts that are not 18 millimeters long.

 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: The machine is not filling boxes with 24 ounces of cereal.
       HA: The machine is filling boxes with 24 ounces of cereal.

 b)  H0: The machine is filling boxes with 20 ounces of cereal.
       HA: The machine is not filling boxes with 20 ounces of cereal.

 c)  H0: The machine is filling boxes with 24 ounces of cereal.
       HA: The machine is not filling boxes with 24 ounces of cereal.

 d)  H0: The machine is filling boxes with 24 ounces of soft drink.
       HA: The machine is not filling boxes with 24 ounces of soft drink.

 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: The machine is producing bottles that have a volume of 500 milliiters.
       HA: The machine is producing bottles that do not have a volume of 500 milliiters.

 b)  H0: The machine is producing bottles that have a volume of 550 milliiters.
       HA: The machine is producing bottles that do not have a volume of 550 milliiters.

 c)  H0: The machine is producing bottles that do not have a volume of 550 milliiters.
       HA: The machine is producing bottles that have a volume of 550 milliiters.

 d)  H0: The machine is producing bottles that have a volume of 550 ounces.
       HA: The machine is producing bottles that do not have a volume of 550 ounces.

 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. What is the hypothesis statement the research manager should use? 

 a)  H0: The sandwich will not be a viable new product line.
       HA: The sandwich will be a viable new product line.

 b)  H0: The drink will not be a viable new menu item.
       HA: The drink will be a viable new menu item.

 c)  H0: The sandwich will not be a viable new menu item.
       HA: The sandwich will be a viable new menu item.

 d)  H0: The sandwich will be a viable new menu item.
       HA: The sandwich will not be a viable new menu item.

 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 at least 10%. What is the hypothesis statement the research manager should use? 

 a)  H0: The advertising campaign did not increase sales by at least 10%.
       HA: The advertising campaign did increase sales by at least 10%.

 b)  H0: The advertising campaign did not decrease sales by at least 10%.
       HA: The advertising campaign did decrease sales by at least 10%.

 c)  H0: The advertising campaign did not increase sales by at least 14%.
       HA: The advertising campaign did increase sales by at least 14%.

 d)  H0: The advertising campaign did increase sales by at least 10%.
       HA: The advertising campaign did not increase sales by at least 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: Women make up 23% of the chain's employees.
       HA: Women do not make up 23% of the chain's employees.

 b)  H0: Women do not make up 23% of the chain's customers.
       HA: Women make up 23% of the chain's customers.

 c)  H0: Women make up 27% of the chain's customers.
       HA: Women do not make up 27% of the chain's customers.

 d)  H0: Women make up 23% of the chain's customers.
       HA: Women do not make up 23% of the chain's customers.

 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: Household compliance with smoke detector regulations is not at least 93%.
       HA: Household compliance with smoke detector regulations is at least 93%.

 b)  H0: Household compliance with smoke detector regulations is at least 93%.
       HA: Household compliance with smoke detector regulations is not at least 93%.

 c)  H0: Household compliance with smoke detector regulations is at least 91%.
       HA: Household compliance with smoke detector regulations is not at least 91%.

 d)  H0: Household compliance with fire extinguisher regulations is at least 93%.
       HA: Household compliance with fire extinguisher regulations is not at least 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: The proportion of impaired drivers is at most 10%.
       HA: The proportion of impaired drivers is not at most 10%.

 b)  H0: The proportion of impaired drivers is not at most 10%.
       HA: The proportion of impaired drivers is at most 10%.

 c)  H0: The proportion of speeding drivers is at most 10%.
       HA: The proportion of speeding drivers is not at most 10%.

 d)  H0: The proportion of impaired drivers is at most 12%.
       HA: The proportion of impaired drivers is not at most 12%.

 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: The proportion of certified teachers is at least 86%.
       HA: The proportion of certified teachers is not at least 86%.

 b)  H0: The proportion of certified teachers is not at least 80%.
       HA: The proportion of certified teachers is at least 80%.

 c)  H0: The proportion of certified teachers is at least 80%.
       HA: The proportion of certified teachers is not at least 80%.

 d)  H0: The proportion of retired teachers is at least 80%.
       HA: The proportion of retired teachers is not at least 80%.

 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: The proportion of overwight trucks is at most 15%.
       HA: The proportion of overwight trucks is not at most 15%.

 b)  H0: The proportion of underwight trucks is at most 18%.
       HA: The proportion of underwight trucks is not at most 18%.

 c)  H0: The proportion of overwight trucks is not at most 18%.
       HA: The proportion of overwight trucks is at most 18%.

 d)  H0: The proportion of overwight trucks is at least 18%.
       HA: The proportion of overwight trucks is not at least 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 and determines the average fee. What is the hypothesis statement the agency director should use? 

 a)  H0: The credit card company is not charging recessive fees.
       HA: The credit card company is charging recessive fees.

 b)  H0: The greeting card company is not charging excessive fees.
       HA: The greeting card company is charging excessive fees.

 c)  H0: The credit card company is charging excessive fees.
       HA: The credit card company is not charging excessive fees.

 d)  H0: The credit card company is not charging excessive fees.
       HA: The credit card company is charging excessive fees.

 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 and inspects them. What is the hypothesis statement the agency director should use? 

 a)  H0: The taxicab company has altered its meters.
       HA: The taxicab company has not altered its meters.

 b)  H0: The taxicab company has not altered its meters.
       HA: The taxicab company has altered its meters.

 c)  H0: The taxicab company has not altered its lights.
       HA: The taxicab company has altered its lights.

 d)  H0: The electric company has not altered its meters.
       HA: The electric company has altered its meters.

 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. What is the hypothesis statement the analyst should use? 

 a)  H0: The gasoline station owner not has altered his tanks.
       HA: The gasoline station owner has altered his tanks.

 b)  H0: The gasoline station owner has altered his pumps.
       HA: The gasoline station owner not has altered his pumps.

 c)  H0: The gasoline station owner not has cleaned his pumps.
       HA: The gasoline station owner has cleaned his pumps.

 d)  H0: The gasoline station owner not has altered his pumps.
       HA: The gasoline station owner has altered his pumps.

 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 to use as defense against a lawsuit. What is the hypothesis statement the legal department manager should use? 

 a)  H0: The cleansing agent is not contaminated.
       HA: The cleansing agent is contaminated.

 b)  H0: The pharmaceutical product is effective.
       HA: The pharmaceutical product is not effective.

 c)  H0: The pharmaceutical product is contaminated.
       HA: The pharmaceutical product is not contaminated.

 d)  H0: The pharmaceutical product is not contaminated.
       HA: The pharmaceutical product is contaminated.

 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. What is the hypothesis statement the quality control manager should use? 

 a)  H0: The parts do not meet the tolerance limit.
       HA: The parts do meet the tolerance limit.

 b)  H0: The parts do not meet the acceptance limit.
       HA: The parts do meet the acceptance limit.

 c)  H0: The parts do meet the tolerance limit.
       HA: The parts do not meet the tolerance limit.

 d)  H0: The machines do not meet the tolerance limit.
       HA: The machines do meet the tolerance limit.

 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 and determines the average fee. What is the hypothesis statement the company's legal counsel should use? 

 a)  H0: The credit card company is charging excessive fees.
       HA: The credit card company is not charging excessive fees.

 b)  H0: The credit card company is not charging excessive fees.
       HA: The credit card company is charging excessive fees.

 c)  H0: The credit card company is charging excessive rates.
       HA: The credit card company is not charging excessive rates.

 d)  H0: The credit card company is forgiving excessive fees.
       HA: The credit card company is not forgiving excessive fees.

 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 and inspects them in preparation to defend itself. What is the hypothesis statement the company manager should use? 

 a)  H0: The taxicab company has altered its meters.
       HA: The taxicab company has not altered its meters.

 b)  H0: The taxicab company has altered its radios.
       HA: The taxicab company has not altered its radios.

 c)  H0: The taxicab agency has altered its meters.
       HA: The taxicab agency has not altered its meters.

 d)  H0: The electric company has not altered its meters.
       HA: The electric company has altered its meters.

 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. What is the hypothesis statement the analyst should use? 

 a)  H0: The gasoline station owner has altered his tanks.
       HA: The gasoline station owner has not altered his tanks.

 b)  H0: The gasoline station owner has altered his pumps.
       HA: The gasoline station owner not has altered his pumps.

 c)  H0: The gasoline station owner has cleaned his pumps.
       HA: The gasoline station owner has not cleaned his pumps.

 d)  H0: The gasoline station owner not has altered his pumps.
       HA: The gasoline station owner has altered his pumps.

 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 to investigate the possibility of a class-action a lawsuit. What is the hypothesis statement the law firm should use? 

 a)  H0: The pharmaceutical product is contaminated.
       HA: The pharmaceutical product is not contaminated.

 b)  H0: The pharmaceutical product is effective.
       HA: The pharmaceutical product is not effective.

 c)  H0: The pharmaceutical product is not contaminated.
       HA: The pharmaceutical product is contaminated.

 d)  H0: The pharmaceutical waste is not contaminated.
       HA: The pharmaceutical waste is contaminated.

 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. What is the hypothesis statement the receiving manager should use? 

 a)  H0: The parts do not meet the tolerance limit.
       HA: The parts do meet the tolerance limit.

 b)  H0: The parts do meet the stress limit.
       HA: The parts do not meet the stress limit.

 c)  H0: The cars do meet the tolerance limit.
       HA: The cars do not meet the tolerance limit.

 d)  H0: The parts do meet the tolerance limit.
       HA: The parts do not meet the tolerance limit.

 e)  None of the above.






 

 

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