An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 148 lb and a standard deviation of 30.8 lb. If 34 different pilots are randomly​ selected, find the probability that their mean weight is between 140 lb and 191 lb.

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A: From the given information, the mean is 63.6 and the standard deviation is 2.5.

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A: Use excel formula "=NORMDIST(72, 68.5, 2.4/SQRT(100), TRUE)" to find the probability. Answer:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 12.6…

A: The provided information are:

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A:

Q: The average weight of an NFL player is 245.7 pounds with a standard deviation of 34.5 pounds, but…

A: From the provided information, Mean (µ) = 245.7 Standard deviation (σ) = 34.5

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A: Given Data Population Mean,μ = 45.0 Population Standard Deviation,σ = 15.0

Q: A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the…

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A: Let X be the random variable from normal distribution with mean (μ) = 18 inches and standard…

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A:

Q: 3 inches.  If a random sample of 45 men in this age group is selected, what is the probability that…

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Q: Assume that the women's heights are normally distributed with a mean of 63.7 inches and a standard…

A:

Q: The weight of a 10 year old girl is normally distributed with a mean of 80 pounds with a standard…

A: It is given that the mean is 80 and the standard deviation is 6.

Q: The average repair cost of a microwave oven is 55$, with a standard deviation of 8$. The costs are…

A: Here, mean is µ = 55, standard deviation is σ = 8, and n = 4.

Q: If the weights of sheep are considered normally distributed with a mean of 60 kg and a standard…

A:

Q: The height of the dogs in a pet shop is normally distributed with the average height of 25 cm and…

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Q: The weight of a bag of sugar is normally distributed with mean of 550g and a standard deviation of…

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Q: The length of adult parakeets is normally distributed. If the mean length is 8 inches with a…

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A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 18.8…

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Q: When women were finally allowed to become pilots of fighter jets, engineers needed to redesign the…

A: We want to find the probability  P(140<X<181)=?

Q: . In order for an engineering graduate to enroll in a master’s program, the graduate studies…

A: GivenMean(μ)=420standard deviation(σ)=100

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 18.2…

A:

Q: The Boeing 727 carries 200 passengers and has doors with a height of 72 inches. heights of men are…

A: The random variable X is defined as the heights of men which follows normal distribution with mean…

Q: The time student spends on his/her homework is normally distributed with the mean of 122 minutes and…

A: From the given information, the mean value is 122 minutes and standard of 53. That is,  μ=122σ=53

Q: At a large publishing company, the mean age of proofreaders is 36.2 years, and the standard…

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A: Hey, since the question is not specified correctly. Here we are finding the probability that mean…

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A:

Q: The Boeing 727 carries 200 passengers and has doors with a height of 72 inches. heights of men are…

A:

Q: The height of 10 year old females is normally distributed with a mean of 54.8 inches and a standard…

A: It is given that mean and standard deviation are 54.8 inches and 2.74 inches, respectively.

Q: A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the…

A: Given that: The probability distirubution of the lengths of these nails is approximately normal with…

Q: If the weights of sheep are considered normally distributed with a mean of 60 kg and a standard…

A: let  x is defined as the weights of sheep are considered normally distributed with a mean of 60 kg…

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Q: Assume women’s heights are normally distributed with a mean of 63.6 inches and a standard deviation…

A:

Q: The weights of ice cream cartons are normally distributed with a mean weight of 7 ounces and a…

A: We have to find out given probabiity..

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 17 inches,…

A: Let X be the length of the item. We have, μ=17, σ=5.4  We want to find out P(X<4.8) when X=4.8,…

Q: Furnace repair bills are normally distributed with a mean of 269 dollars and a standard deviation of…

A: Given: Population meanμ=269Sample size(n) =64Population standard deviationσ=20 Consider X be the…

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

A: Apply normalisation technique

Q: The height of women in the United States is normally distributed with a mean of 165 cm and standard…

A: The normal distribution has curve with bell shape and it is symmetric about the mean. The normal…

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.