The lengths of trout in a certain lake are normally distributed with a mean of 7 inches and a standard deviation of 2 inches. If the fish and game department would like fishermen to keep only the largest 20% of the trout, what should the minimum size for "keepers” be?

Q: A study finds that the carapace length of an adult spider is normally distributed with a mean of…

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Q: When Tallulah runs the 400 meter dash, her finishing times are normally distributed with a mean of…

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Q: Suppose a small paint manufacturing company has a daily production that is normally distributed with…

A: Solution: It is given that a small paint manufacturing company has a daily production that is…

Q: If a set of data is normally distributed with a mean of 50 and a standard deviation of 5, a z-score…

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Q: Assume that among the members of a men's gym, the distribution of body weights has a mean of 188…

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Q: The lengths of brook trout caught in a certain Colorado stream are normally distributed with a mean…

A: Given that :  Mean = 14 inches S. D = 3 inches Here we use standard normal distribution concept…

Q: The drive distance (in yards) for professional golfers is normally distributed with a mean of 308.04…

A: 68-95-99.7-rule: Let X be an observation from a normal distribution, having mean µ and standard…

Q: The speeds of all cars on the tollway was found to be normally distributed with a mean of 63 miles…

A: It is given that that µ=63 mile per hour. Obtain the standard deviation of the speeds of all cars:

Q: If gasoline in a certain part of the country has a mean price of $1.62 per gallon and a standard…

A: From the given information, Mean = $1.62 gallon Standard deviation =8 cents =$0.08 gallon (since 100…

Q: If the average number of textbooks in professors' offices is 14, the standard deviation is 5, and…

A: Given that For textbooks, mean = 14, and SD = 5 For age, mean = 42, and SD = 10

Q: A company finds that for its 12 ounce cans of soda, the actual amount of soda inside is Normally…

A: Solution-: Given: μ=12,σ=0.25 We find x value such that P[X<x]=0.15

Q: If on an average 8 ships out of 10 arrive safely at a port, find the mean and standard deviation of…

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Q: Assume that the heights of women are normally distributed with a mean of 64.9 inches and a standard…

A: Given: Heights of women = X X follows Normal distribution with mean 64.9 inches and standard…

Q: If a one-person household spends an average of $62 per week on groceries, find the maximum and…

A: GivenMean(μ)=62standard deviation(σ)=10

Q: The cruising altitudes for the fleet of one commercial airliner are normally distributed with a mean…

A: It is given that the mean is 34,950 and the standard deviation is 1,800.

Q: The lengths of the Atlantic croaker fish are normally distributed with a mean of 10 inches and a…

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Q: the length of a certain species of fish were found to be normally distributed. the mean length is 72…

A: Any assumption about the parameter or probability function is called a hypothesis. Given data are…

Q: According to the records of an electric company serving the Boston area, the mean electricity…

A: GivenMean(μ)=1650standard deviation(σ)=320

Q: is 30 (which means that the Which of the following would be the standard deviation used in…

A: Given: Proportion of defective product p=0.03  Sample size n=30  To find the standard deviations…

Q: Birth weights in the US are normally distributed with a mean of 3420 g and a Standard deviation of…

A: From the provided information, Population mean (µ) = 3420 g Standard deviation (σ) = 495 g The z…

Q: According to the records of an electric company serving the Boston area, the mean electric…

A: The mean and standard deviation are 1650 and 320, respectively.

Q: The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152…

A: a) Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Suppose that weights of 5th grade elementary girls are normally distributed with mean µ = 64 lbs and…

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Q: The speeds of cars traveling on UK motorways are normally distributed with mean 96 kilometers per…

A: We have given that.   X~N( μ , ?^2 )   μ =96 , ? = 10   Z-score =( x - μ )/?

Q: In an all boys school, the heights of the student body are normally distributed with a mean of 69…

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Q: when designing aircraft cabins, what ceiling height will alow 98% of men to stand without bumping…

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Q: If a sample of 144 male weights has a mean of 266 pounds and standard deviation of 32 pounds. The CV…

A: Given data Mean (x̅ ) = 266Standard deviation (s) = 32Coefficient of variation(CV) for sample is…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days…

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Q: The heights of river birch trees are normally distributed with a mean of 92.3 inches with a standard…

A: It is given that the mean is 92.3 and standard deviation is 4.1.

Q: The distance traveled by a commuter in the city, has a mean of 28 miles and a standard deviation of…

A: Given,mean(μ)=28standard deviation(σ)=6sample size(n)=500

Q: The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152…

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Q: At Pacific Freight Lines, bonuses are given to billing clerks when they complete 300 or more freight…

A: Given information Mean µ = 270 Standard deviation σ = 16 proportion of the time should a randomly…

Q: 4. The lengths of trout in a certain lake are normally distributed with a mean of 7 inches and a…

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Q: If the range of a data set is 64, find the approximate value of the standard deviation, using the…

A: Given information- Range = 64 We have to find the approximate value of the standard deviation using…

Q: Suppose that water usages in American showers are normally distributed, with an average shower using…

A: Given Information: μ=20 and σ=3.2 (b) To estimate the percentage of showers that used more than 26.4…

Q: Suppose that water usages in American showers are normally distributed, with an average shower using…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 16.4 and…

Q: 3.5 inches, how tall does a woman have to be to have a height in the 90th percentile? Round off to 1…

A: Given : Population Mean,μ = 65.0 Population Standard Deviation,σ = 3.5

Q: The heights of people are normally distributed with a mean of 86 inches and a standard deviation of…

A: X follows a Normal distribution with mean = 86 and S.D = 5 Then z=(x-mean)/SD = (x-86)/5  follows…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 263 days…

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Q: If corn has a normally distributed yield with a mean of 120 bushels per acre and a standard…

A: Given that,  E(X) =120 bushels pet acre Sigma=10 bushels We have to find the percentage of acres…

Q: In a population of 100 male fruit flies, the mean abdomen length is 2.0 mm and the standard…

A: Given μ=2 and σ=0.3     Use standardization asz=x-μσ

Q: Suppose the distribution of typing speeds in words per minute for experienced typists can be…

A: Solution: Let X be the typing speed in words per minute. From the given information, X follows…

Q: The starting salary for a computer programmer major has a mean of $39,269 and a standard deviation…

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Q: The daily sales at a convenience store have a mean of $1280 and a standard deviation of

A: As given, the daily sales at a convenience store have a mean of $1280 and a standard deviation of…

Q: In a certain university, the students were informed that they need a grade in the top 8% of the…

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Q: for a population with a standard deviation of 4.2 and mean of 32.5, draw a bell shaped curve,…

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Q: freedom, the standard devi

A: yes , standard deviation of population is estimated without the degree of freedom . We know that…

Q: The weights of baby tortoises are approximately normally distributed with a mean of 25.6 ounces and…

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