Question

In: Statistics and Probability

Federal Aviation Administration rules require airlines to estimate the weight of a passenger as 195 pounds,...

Federal Aviation Administration rules require airlines to estimate the weight of a passenger as 195 pounds, including carry-on baggage. Men have weights (without baggage) that are normally distributed with a mean of 172 pounds and a standard deviation of 29 pounds.

a. If one adult male is randomly selected and is assumed to have 20 pounds of carry-on baggage, how likely is it that his total weight is greater than 195 pounds?

b. If a Boeing 767-300 aircraft is full of 213 adult male passengers and each is assumed to have 20 pounds of carry-on baggage, how likely is it that the mean passenger weight (including carry-on baggage) is greater than 195 pounds? Does a pilot have to be concerned about exceeding this weight limit?

Solutions

Expert Solution

a)

New mean = 172+20 = 192

New standard deviation = 29 (standard is uneffected by addition of constant )

b)

Yes a pilot have to be concerned about exceeding this weight limit because the probability of this happening is 6.55% which is not unusual (<5%)

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Suppose the Federal Aviation Administration (FAA) would like to compare the on-time performances of different airlines...
Suppose the Federal Aviation Administration (FAA) would like to compare the on-time performances of different airlines on domestic, nonstop flights. The following table shows two different airlines and the frequency of flights that arrived early, on-time, and late for each. To test at the 0.1 level to determine if Airline and Status are dependent, calculate the chi-square test statistic and p-value. Chart: 26 14 16 16 22 6 Question 4 options: 1) 7.37, the degrees of freedom is 6, and...
Suppose the Federal Aviation Administration (FAA) would like to compare the on-time performances of different airlines...
Suppose the Federal Aviation Administration (FAA) would like to compare the on-time performances of different airlines on domestic, nonstop flights. To determine if Airline and Status are dependent, what are the appropriate hypotheses? A)HO: Airline and Status are independent of each other. HA: Airline and Status display a positive correlation. B)Two of the other options are both correct. C)HO: Airline and Status are independent of each other. HA: Airline and Status are dependent on one another. D)HO: Airline and Status...
A public administrator for the Federal Aviation Administration, in light of terrorist bombings and hijacking of...
A public administrator for the Federal Aviation Administration, in light of terrorist bombings and hijacking of airplanes, was concerned about how four different methods of screening passengers affect traveler satisfaction. The four methods were (1) no screen, (2) walk-through metal detector, (3) frisk search, and (4) handheld metal detector. Random samples of traveler satisfaction were taken when the travelers were screened by one of the four methods. The sample sizes were n1=2, n2=3, n3=3, and n4=2 for the four methods....
The Federal Aviation Administration is a government agency that is in charge of air traffic control....
The Federal Aviation Administration is a government agency that is in charge of air traffic control. All of the capital equipment (radar, etc.) used by air traffic controllers is purchased through appropriations from Congress. When Apple Corporation purchases new capital equipment, the decision is made by owners and managers that believe the firm can get a return on investment from the new capital because the new capital can be used to produce new and improved goods for Apple customers. Which...
The Federal Aviation Administration is a government agency that is in charge of air traffic control....
The Federal Aviation Administration is a government agency that is in charge of air traffic control. All of the capital equipment (radar, etc.) used by air traffic controllers is purchased through appropriations from Congress. When Apple Corporation purchases new capital equipment, the decision is made by owners and managers that believe the firm can get a return on investment from the new capital because the new capital can be used to produce new and improved goods for Apple customers. Which...
The Federal Aviation Administration wants to determine the effect of alcohol on reaction time (apparently, they...
The Federal Aviation Administration wants to determine the effect of alcohol on reaction time (apparently, they really want to know how much booze a pilot can have before flying an airplane carrying hundreds of people). They conduct reaction time tests (measured in milliseconds, ms) on 10 pilots before and after consuming alcohol. Does alcohol affect reaction time? Data are seen below. Conduct a hypothesis test and construct a 95% C.I. for the pre/post test difference in reaction time. The Federal...
A Parasail rider wants to reach the maximum height allowed by the Federal Aviation administration... A...
A Parasail rider wants to reach the maximum height allowed by the Federal Aviation administration... A Parasail rider wants to reach the maximum height allowed by the Federal Aviation administration if the rider’s boat is to tow the parachute at 30 miles per hour. How should the tow to reach the maximum flying height? A. Draw and label a diagram to represent this situation. B. Explain two different methods to solving this problems Method 1: Method 2: C. Find the...
Because of safety considerations, in May 2003 the Federal Aviation Administration (FAA) changed its guidelines for...
Because of safety considerations, in May 2003 the Federal Aviation Administration (FAA) changed its guidelines for how small commuter airlines must estimate passenger weights. Under the old rule, airlines used 180 pounds as a typical passenger weight (including carry-on luggage) in warm months and 185 pounds as a typical weight in cold months. A journal reported that an airline conducted a study to estimate average passenger plus carry-on weights. They found an average summer weight of 183 pounds and a...
Because of safety considerations, in May 2003 the Federal Aviation Administration (FAA) changed its guidelines for...
Because of safety considerations, in May 2003 the Federal Aviation Administration (FAA) changed its guidelines for how small commuter airlines must estimate passenger weights. Under the old rule, airlines used 180 pounds as a typical passenger weight (including carry-on luggage) in warm months and 185 pounds as a typical weight in cold months. A journal reported that an airline conducted a study to estimate average passenger plus carry-on weights. They found an average summer weight of 183 pounds and a...
Because the Department of Transportation 1996 Appropriations Act exempted the Federal Aviation Administration (FAA) from various...
Because the Department of Transportation 1996 Appropriations Act exempted the Federal Aviation Administration (FAA) from various Federal procurement laws, the FAA developed and then implemented its own acquisition management system. The official record of its Acquisition Management System (AMS) is known as FAST, which stands for the FAA Acquisition Systems Toolkit. To guide its analysts as they review cost estimates to ensure they are fair and reasonable, FAST includes a Pricing Handbook. That Pricing Handbook includes guidance on direct labor...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT