Doorway Height The Boeing 757-200 ER airliner carries 200 passengers and has doors with a height of 72 in. Heights of men are normally distributed with a mean of 68.6 in. and a standard deviation of 2.8 in. (based on Data Set 1 “Body Data” in Appendix B). a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. b. If half of the 200 passengers are men, find the probability that the mean height of the 100 men is less than 72 in. c. When considering the comfort and safety of passengers, which result is more relevant: the probability from part (a) or the probability from part (b)? Why? d. When considering the comfort and safety of passengers, why are women ignored in this case?

Q: Vending Machines Quarters are now manufactured so that they have a mean weight of 5.670 g and a…

A: a)The random variable x represents weights of quarters.The formula to convert the weights of…

Q: 1. The size of fish is very important to commercial fishing. A study conducted in 2012 found the…

A: We  know that distribution is normal distribution and. We have to find given probability and value..…

Q: Runners in a race have a mean finishing time of 91 minutes and a standard deviation of 16 minutes.…

A:

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 103 inches and a…

A: Let us assume X=The lengths of lumber a machine cuts Given that X follows a normal distribution with…

Q: Heights of 10 year olds. Heights of 10 year olds, regardless of gender, closely follow a normal…

A: Given Information: Heights of 10 year olds, follow a normal distribution with mean μ=55 inches and…

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: Given data,μ=158σ=27.7P(150<X<201)=?

Q: An automobile manufacturer produces a certain model of car. The fuel economy figures of these cars…

A: Obtain the probability that one of these cars will have an mpg of more than 37.5. The probability…

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 88 inches and a…

A: It is given that the mean is 88 and the standard deviation is 0.3.

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A:

Q: A car service shop services a vehicle with an average of 15 minutes and standard deviation of 2…

A: Given data, μ=15σ=2

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A:

Q: Colette, a rancher from Colorado, herds a specific breed of cattle. The weight for this breed is…

A: Given X is normal Distributed with mean µ = 1800.0 and standard deviation σ = 125.0 now will using…

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: μ=129, σ=28.5n=31x¯1=120, x¯2=181

Q: The average number of pushups a United States Marine does daily is 300, with a standard deviation of…

A:

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: Given An engineer is going to redesign an ejection seat for an airplane. The seat was designed for…

Q: A citrus farmer has observed the following distribution for the number of oranges per tree. ​ (1)…

A:

Q: (a) There are 97% of the cars will be loaded with more than K tons of coal. What is the value of K?…

A: here AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  Coal is carried from a mine in West Virginia to…

Q: 6. The average speed of cars passing a checkpoint is 60 miles per hour with a standard deviation of…

A: Given that, Mean, mu= 60 and standard deviation, sigma=8 So X~ normal (60,8) If sample size is n=50…

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 105 inches and a…

A:

Q: NeverReady batteries has engineered a newer, longer lasting AAA battery. The company claims this…

A: Given μ=15σ=0.7n=30x¯=14.7

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 95 inches and a…

A:

Q: 1.) A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are…

A: (a) The content of a bottles follows normal distribution with mean μ = 298 ml and standard deviation…

Q: Southwest Airlines Seats Southwest Airlines currently has a seat width of 17 in. Men have hip…

A:

Q: Redesign of Ejection Seats When women were finally allowed to become pilots of fighter jets,…

A: It is given that the women’s weights follow normal distribution with mean 171 and standard deviation…

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 97 inches and a…

A: It is given that mean is 97 inches and the standard deviation is 0.3 inch.

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: It is given that the population of pilots follows normal distribution with mean 159 lb and standard…

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilot…

A: Given that  The seat was designed for pilot swing between 120 lb and 161 lb  The population has…

Q: To boost holiday sales, a jewelry store in Bismarck, North Dakota, is advertising the following…

A: It is given that the mean is 6.5 inches and the standard deviation is 0.567 inches.

Q: An engineer is going to redesign an ejection seat for an airplane . The seat was designed pilots…

A: (a)   Obtain the probability that his weight is between 120 lb and 161 lb. The probability that…

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 88 inches and a…

A: Given,Mean μ = 88Standard deviation σ = 0.6

Q: Runners in a race have a mean finishing time of 91 minutes and a standard deviation of 16 minutes.…

A:

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 86 inches and a…

A: Given: μ=86,σ=0.5

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a…

A:

Q: I'm having trouble understanding what to do after I apply the formula to this problem. Any help…

A: Given info:It is given that µ=12,494; σ=1,290.Consider the random variable, x denotes the number of…

Q: Ottawa Public Health collects beach water samples every day during the summer. A non-swimming…

A:

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A:

Q: Guitar maker, Gibson, has an electric guitar model called the Les Paul. A particular model of the…

A:

Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…

A: Given Mean μ=75, standard deviations σ=0.8 Note: According to Bartleby guidelines expert solve only…

Q: al sales commissions earned by sales representatives of a manufacturer of light machinery follow the…

A:

Q: Toothpaste According to a commercial, 4 out of 5 dentist recommend a certain brand of toothpaste.…

A: Any person can recommend or not so we two choices. Hence the toothpaste getting recommended or not…

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 97 inches and a…

A: We have to find given probability.

Q: NeverReady batteries has engineered a newer, longer lasting AAA battery. The company claims this…

A: The probability of the sample mean lifetime is 16.7 hours or less is 0.0202 and it is obtained…

Q: 12.) The FAA has to periodically revise their rules regarding weight estimates. Airlines use an…

A: a) Given μ=188.6σ=38.9 For normal distribution, Z score is given by- Z=(x-μ)σ Probability that the…

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: Given,mean(μ)=129standard deviation(σ)=27.3

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A:

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: The normal distribution: A continuous random variable X is said to follow normal distribution with…

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 99 inches and a…

A: We have given that the random variable X i.e. the length of lumber is normally distributed with mean…

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 97 inches and a…

A: Mean = 97 Standard deviation = 0.7

Q: Newborn Elephant Weights Newborn elephant calves usually weigh between 200 and 250 pounds-until…

A: Let X is the weight of newborn elephant. X~Normalμ=225,σ2=452

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.