1.A large government building has received a telephone call threatening that an explosive device has been...

1.A large government building has received a telephone call threatening that an explosive device has been placed somewhere in the building. The bomb squad has been called to check out the threat and they have ordered all occupants to leave the building. The bomb squad will check out the building and declare whether or not it is safe to renter. (a) State the null and alternate hypothesis that is facing the bomb squad. (b) state the type-I and type-II error in this situation (c) which error is more serious here and why?

2. A manufacturer of drinking water filters claims that their cartridge last more than 300 liters before they have to be replaced. A consumer group wants to confirm this claim and selects a random sample of 60 cartridges for testing. The cartridges produce a sample average lifetime of 312 liters, and a sample standard deviation of 50 liters. Construct a null and alternate hypothesis that the consumer group should use to confirm the manufacturer’s claim. Based on the sample data, what can the group conclude? Use a 5% level of significance. Would your answer change if you used a 1% level of significance? Justify

Solutions

Expert Solution

1.The null and alternative hypothesis that is faced by bomb squad is as follows :

H_o : bomb is found and building is declared unsafe to enter

H₁ : no bomb is found and building is declared safe to enter

b) type I error : we reject H₀ (null hypothesis ) while it is true.

i.e, bomb squad finds no bomb and declare building safe to enter when bomb is present in the building.

type II error : we accept H₀ while H₁ (alternative hypothesis) is true.

i.e, bomb squads finds a bomb and declares building unsafe to enter while there is no bomb present in the building.

c) looking at the situation it is clear that type I error is more serious as while there is bomb in the building the bomb squad declares it safe to enter again this could lead to explosion with loss of life and lot of damage if it is more . while type II error is less severe in this case because at the least there will be no loss of life and damage to the buliding.

milcah answered 1 week ago

Next > < Previous

Related Solutions

A request has been received from an external customer for recommendations for linear position control sensors to be used in an explosive environment.

A request has been received from an external customer for recommendations for linear position control sensors to be used in an explosive environment. For this reason unsafe electrical contacts must be avoided. The sensors will be installed in locations that are hazardous to access except when the plant is shut down annually for maintenance. The span required is 5 cm. The sensor case must not permit any ingress of dust or of water. State what type of position sensors...

MARS, Inc. (D)1 In January 2009, Tom Sosa, the purchasing manager, received a telephone call from...

MARS, Inc. (D)1 In January 2009, Tom Sosa, the purchasing manager, received a telephone call from their Columbus, Indiana, diesel engine supplier informing him that effective June they were no longer producing the D-342 diesel engines at the Columbus plant. The D-342 engine sales were decreasing and would no longer be in their product line. Tom was in shock. He was now forced to deal with the sole supplier of the D-342 located in Portland, Oregon. The most recent price...

In January 2009, Tom Sosa, the purchasing manager, received a telephone call from their Columbus, Indiana,...

In January 2009, Tom Sosa, the purchasing manager, received a telephone call from their Columbus, Indiana, diesel engine supplier informing him that effective June they were no longer producing the D-342 diesel engines at the Columbus plant. The D-342 engine sales were decreasing and would no longer be in their product line. Tom was in shock. He was now forced to deal with the sole supplier of the D-342 located in Portland, Oregon. The most recent price schedule submitted by...

Question: In January 2009, Tom Sosa, the purchasing manager, received a telephone call from their Columbus,......

Question: In January 2009, Tom Sosa, the purchasing manager, received a telephone call from their Columbus,... In January 2009, Tom Sosa, the purchasing manager, received a telephone call from their Columbus, Indiana, diesel engine supplier informing him that effective June they were no longer producing the D-342 diesel engines at the Columbus plant. The D-342 engine sales were decreasing and would no longer be in their product line. Tom was in shock. He was now forced to deal with the...

Suppose a government has been running large government deficits. In order to address these deficits, the...

Suppose a government has been running large government deficits. In order to address these deficits, the government has decided to decrease its spending (G) and raise taxes (T). Using the complete Keynesian model, explain in as much detail as possible what will likely happen to the economy (including GDP, the interest rate, investment spending, any multiplier effects). Finally, under what conditions would GDP be less affected (e.g., high or low mpc, steep or flat money demand, steep or flat investment...

Suppose a government has been running large government deficits. In order to address these deficits, the...

Suppose a government has been running large government deficits. In order to address these deficits, the government has decided to decrease its spending (G) and raise taxes (T). Using the complete Keynesian model, explain in as much detail as possible what will likely happen to the economy (including GDP, the interest rate, investment spending, any multiplier effects). Finally, under what conditions would GDP be less effected (e.g., high or low mpc, steep or flat money demand, steep or flat investment...

A large customer call center for a multinational retailer has been in operation for several months,...

A large customer call center for a multinational retailer has been in operation for several months, but has continually failed to meet both customers’ and senior management’s expectations. Your team has been called in to develop a dashboard to help monitor and improve the operations of the call center. What KPIs would you track? Sketch a sample dashboard for this application. Submit the assignment to Dropbox.

1) When a service has been performed but no cash has been received, which of the...

1) When a service has been performed but no cash has been received, which of the following statements is true? Select one: a. No journal entry is made. b. The entry includes a debit to Accounts payable. c. The entry includes a credit to Unearned revenue. d. The entry includes a debit to Accounts receivable. 2) Adjusting entries are: Select one: a. not necessary if the accounting system is operating properly. b. usually required before financial statements are prepared. c....

Trinitroglycerinn (C3H5N3O9) (usually referred to as nitroglycerin or TNT) has been widely used as an explosive....

Trinitroglycerinn (C3H5N3O9) (usually referred to as nitroglycerin or TNT) has been widely used as an explosive. Alfred Nobel used it to make dynamite in 1866. It also has medicinal applications and is used to relieve chest pain from partially blocked coronary arteries. At 1 atm pressure and temperature 25 C, the enthalpy of decomposition of this compound to form nitrogen gas (N2), carbon dioxide gas (CO2) , liquid water and oxygen gas (02) is -1541.4 kJ/mol. a. Write a balanced...

Tribitroglycerin (C3H5N3O9) (usually referred to as nitroglycerin or TnT) has been widely used as an explosive....

Tribitroglycerin (C3H5N3O9) (usually referred to as nitroglycerin or TnT) has been widely used as an explosive. Alfed Nobel used it to make dynamite in 1866. It also has medical application and is used to relieved chest pain from partially blocked arteries. At 1 atm pressure and temperature 25C the enthalpy of this compound to form nitrogen gas (N2) Carbon dioxide gas (CO2), liquid water and oxygen (O2) is -1541.4 kJ/mol. A. Calculate the standard heat of formation (Hf) for Nitroglycerin....

Subjects