There is a spaceship going to bring dogs to the space station because the people up...

There is a spaceship going to bring dogs to the space station because the people up there are lonely. The ship can carry a maximum weight of 7800 pounds besides the equipment and people. The μ of all dogs is 70 pounds and a σ of 5 pounds. The μ of Newfoundland dogs is 77 with a σ of 4 pounds. The plan is to bring 100 dogs. So the mean weight of the dogs should be 78 pounds or less.

a. Determine the probability of a dog being above 78 pounds.

b. Determine the probability of a Newfoundland dog being above 78 pounds.

c. Determine the probability of the μ of a sample of 100 dogs being > 78. Would you be one of the people getting on the ship?

d. Determine the probability of the μ of a sample of 100 Newfoundland dogs being >78. Would you be one of the people getting on the ship? What would you say if you decided to get on the ship with the 100 Newfoundlands and someone told you that σ was actually 5 pounds and not 4 pounds just after takeoff?

e. Suppose you were told that the scale was off and dogs actually weighed 0.5 pounds more. Would you get on with 100 dogs? How about getting on with 100 Newfoundlands?

Expert Solution

Please find attached images for solution.

First image subpart a)-d_

Second image subpart e)

If you find my answer useful please support me by putting thumbs-up.Thank you.

orchestra answered 2 years ago

Your spaceship has docked at a space station above Mars. The temperature inside the space station...

Your spaceship has docked at a space station above Mars. The temperature inside the space station is a carefully controlled 24 ∘C at a pressure of 735 mmHg . A balloon with a volume of 515 mL drifts into the airlock where the temperature is -83 ∘C and the pressure is 0.120 atm . What is the final volume, in milliliters, of the balloon if n remains constant and the balloon is very elastic?

Two astronauts are on a space station preparing for a mission to Mars. The space station...

Two astronauts are on a space station preparing for a mission to Mars. The space station is powered by the combustion of a mixture of gases released from the high pressure container in which they are both contained. When not in use, the high pressure gas canister is stored in the far corner of the station away from the crew. One of the two gases possesses a high molecular weight, has a strong foul odor but is harmless to humans...

People across the United States are fearful - and fed up- with crime. Dogs for protection,...

People across the United States are fearful - and fed up- with crime. Dogs for protection, special locks, and security systems have never been more popular. And no wonder: Almost half of U.S. adults claim that they are afraid to walk alone at night in the vicinity of their own homes. Government spending on crime prevention has risen steadily during the past thirty years, but so has the crime rate. At the same time, as noted at the beginning of...

A spaceship of proper length Lp = 500 m moves past a transmitting station at a...

A spaceship of proper length Lp = 500 m moves past a transmitting station at a speed of 0.83c. (The transmitting station broadcasts signals that travel at the speed of light.) A clock is attached to the nose of the spaceship and a second clock is attached to the transmitting station. The instant that the nose of the spaceship passes the transmitter, the clock attached to the transmitter and the clock attached to the nose of the spaceship are set...

A space station is located in a gravity-free region of space. It consists of a large...

A space station is located in a gravity-free region of space. It consists of a large diameter, hollow thin-walled cylinder which is rotating freely about its axis. It is spinning at a speed such that the apparent gravity on the inner surface is the same as that on earth. The cylinder is of radius r and mass M. (a) What is the minimum total work which had to be done to get the cylinder spinning up to speed. (b) Radial...

You are a junior space cadet on an interstellar space station. Your job is to launch...

You are a junior space cadet on an interstellar space station. Your job is to launch a long distance spacecraft. The mass of the spacecraft without any fuel is 1217 kg. This mass is often called dry mass. The rocket engine of the craft can exhaust hot gas at a speed of 2.26 km/s relative to the space craft. How much rocket propellant does the craft need, if you want the craft to reach a final speed of 5.51 km/s...

A 50 kg Astronaut is floating in space, at rest relative to her spaceship. The 5kg...

A 50 kg Astronaut is floating in space, at rest relative to her spaceship. The 5kg canister she used for getting around has run out of gas. To get back to the spaceship she decides to throw the canister in the opposite direction. a) What is the total momentum of the astronaut-canister system after the throw (relative to the spaceship)? b) If the canister moves away at a speed of 20 m/s, what is the Astronaut’s speed toward the spaceship?

(a) Rental costs for office space have been going up at 5% per year compounded semiannually...

(a) Rental costs for office space have been going up at 5% per year compounded semiannually for the past 4 years. If office space rent is now RM40 per square foot per month, what were the rental rates 4 years ago? [4 marks] (b) Find the effective rate of interest corresponding to a nominal rate of 8% per year compounded (i) semiannually, [3 marks] (ii) monthly. [3 marks] (c) Sally wishes to accumulate a sum of $400,000 in a retirement...

Obedience School for Dogs is a small franchise that offers obedience classes for dogs. Some people...

Obedience School for Dogs is a small franchise that offers obedience classes for dogs. Some people think that larger dogs are easier to train and, therefore, should not be charged as much for the classes. To investigate this claim, dogs enrolled in the classes were classified as large (?? pounds or more) or small (under ?? pounds). The dogs were also classified by whether or not they passed the obedience class offered by the franchise. ??% of the dogs involved...

Is there gravity in space? Explain why? If an astronaut leaves his air-filled space station and...

Is there gravity in space? Explain why? If an astronaut leaves his air-filled space station and takes his guitar out into space on a spacewalk, another astronaut will not be able to hear the sound guitar as he plays it. Why? Moon's radius distance from the centre of the Earth is given by ‘R’. If this radius is increased to 1.5 times ‘R’, how would this change affect the magnitude of gravitational force of the Earth on the Moon? How...

Question