A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 4 inches. A random sample of 26 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean?

Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet…

A: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet…

Q: The dean of a business school claims that the average monthly income of his school's BS in Business…

A: Given, μ=24700σ=4100n=50

Q: announced that the median sales price of new houses sold one year was ​$211,000​, and the mean sales…

A: According to the sum, A report announced that the median sales price of new houses sold one year was…

Q: In a large population of college-educated adults, the mean IQ is 112 with standard deviation 25.…

A:

Q: Ms. Berry is concerned about the average amount of food Fred, the elephant, eats each day. Zookeeper…

A:

Q: The mean weight of junior high school students is µ = 45 kg. If a random sample of 90 students is…

A: Given: μ=45n=90σ=6

Q: Suppose that for a normal random variable X, we have a mean of µ=10 and a standard deviation of σ=3.…

A: As per guideline expert have to answer first three subpart only.

Q: The population of weights for men attending a local health club is normally distributed with a mean…

A: Given data: The population of weights for men (X) is normally distributed with mean and standard…

Q: Assume the average attendance of a college game is normally distributed with a population mean of…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: For a random variable that is normally distributed, with a mean of 80 and standard deviation of…

A:

Q: The average fuel efficiency of U.S. light vehicles (cars, SUVS, minivans, vans, and light trucks)…

A:

Q: Rivers Casino did an audit of all of their blackjack tables and found that the amount of money…

A: Provided information is, Rivers Casino did an audit of all of their blackjack tables and found that…

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

A: We have given that  The average number of pushups a United States Marine does daily is 300, with a…

Q: The incoming freshman class at North Carolina State University had a mean unweighted GPA of 3.81…

A: Given: Sample size (n) = 100 Population mean GPA score μ=3.81 Population standard deviation σ=0.36

Q: A study of the amount of time it takes a hiker to hike to the bottom of the Grand Canyon and back to…

A: Given: μ = 12 σ = 2.4 n = 9

Q: The yield of wheat on unirrigated land owned by a commercial grower is normally distributed with…

A:

Q: A survey showed the following probabilities of having X number of dogs per household X = number 1 3…

A:

Q: (a) A 120-watt fluorescent light has an average brightness of 1986 lumens, with a standard deviation…

A: Given : μ=1986 σ=94

Q: mally distributed with a mean of $2.39 and a standard deviation of $0.15. 1. What is the…

A: Given: Population mean μ=2.39 Population standard deviation σ=0.15 Let X ~ N (2.39, 0.152)

Q: . Sunshine City was designed to attract retired people, and its current population of 50,000…

A: 6) Given data Mean (µ) = 60 years Standard Deviation(σ) = 16 years Sample size (n)= 100 a) As the…

Q: average salary for a large company is $85,000 with a

A: Given Data Population Mean,μ = 85000.0 Population Standard Deviation,σ = 20000.0…

Q: For an exercise study, a large group of male distance runners walk on a treadmill for five minutes.…

A: From the given information,   Mean = 117.6 Standard deviation = 8.1   The objective is to find the…

Q: d) If they stop 30 cars during the first hour, find the mean and standard deviation of the number of…

A: Given Information: 90% of drivers do "buckle up" (wearing seat belts). (d) If they stop 30 cars…

Q: Assume that the salaries of elementary school teachers in the United States are normally distributed…

A: Given: μ=32000, σ=3000, n=100 The corresponding z-value needed to be computed is:

Q: The entrance test scores for SHS in a certain school has a mean of 85 and a standard deviation of…

A:

Q: Assume that the traffic to the web site of Smiley's People, Inc., which sells customized T-shirts,…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: a certain population of the herring, Pomolobus aestivalis, the lengths of the individual fish are…

A: Let X be a random variable which indicates the length of the fish. Here it is given that- mean(μ)=54…

Q: Find the standard deviation o of the random variable X given the probability distribution

A: Steps to find the standard deviation δ for given probability distribution - Step 1. Find x.P(x)Step…

Q: According to the Nielsen Company, the mean number of TV sets in a U.S. household in 2013 was 2.24…

A: Mean = 2.24 Standard deviation = 1.3 Sample size = 95

Q: If X is a normally distributed random variable with mean -61 and standard deviation 22, find the…

A: Solution: From the given information, X follows normal distribution with a mean µ=61 and a standard…

Q: Suppose that the mean and standard deviation of plants height are 130 and 42, respectively, if a…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 130, standard…

Q: For a normal random variable with mean 650 and standard deviation 40, find the probability that its…

A: Given information- Population mean, μ = 650 Population standard deviation, σ = 40 Let X be the…

Q: Given that X is a normally distributed random variable with a mean of 50 and a standard deviation of…

A: Given that X is a normally distributed random variable with a mean of 50 and a standard deviation of…

Q: For a normal random variable with mean 16.5 and standard deviation 0.8, find a point of the…

A: From the provided information, Mean (µ) = 16.5 Standard deviation (σ) = 0.8 Let X be a random…

Q: According to Neilson & Co adults watch an average of 30 hours of a TV a week. Assume the population…

A: X~N(μ,σ2) μ=30, σ=12 Z=X-μσ/n

Q: A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. If GPA…

A: Let X be a continuous random variable of average GPA of university students is normally​ distributed…

Q: A quality control expert at a large factory estimates that 10% of all the batteries produced at the…

A:

Q: A report announced that the median sales price of new houses sold one year was $231,000​,and the…

A:

Q: A farmer harvests several heads of iceberg lettuce. The weight of the heads of lettuce are normally…

A: The weight of the heads of lettuce are normally distributed with a mean weight of 2.2 pounds and a…

Q: Assume that the heights of adult puffins are normally distributed, with a mean of u = 16.1 inches…

A: According to our guidelines we can solve only the first three-part of the question. ize (n) = 16

Q: The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63…

A: Note: Please repost remaining subparts as i can answer only 3 subparts as per my policy Given data,…

Q: (b) The blood pressure reading for people aged 80 years old that are having high blood pressure is…

A:

Q: The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a…

A: Given data for California : Population Mean,μ = 22 Population Standard Deviation,σ = 4…

Q: Sure Stone Tire Company has established that the useful life of a particular brand of its automobile…

A:

Q: The volume of a dog shampoo filled into a container is uniformly distributed between 370 and 380…

A: Obtain the mean of the volume of dog shampoo.   The mean of the volume of dog shampoo is obtained…

Q: What is the probability that the mean height of 10 randomly selected women are greater than 66.5…

A: Let X denote the height of the young women. Given that X follows N(mean=64.5, SD=2.5) Then…

Q: The average fuel eficiency of U.S. light vehicles (cars, SUVS, minivans, vans, and light trucks) for…

A: X~N( μ = 21 , ? = 2.8 ) μ = 21 , ? = 2.8 Formula for Z-score  Z-score =( x - μ )/? Required  A)…

Q: In a study of life expectancy in a certain region, the mean age at death was 70 years, and the…

A:

Q: A contractor has concluded from his experience that the cost of building a luxury home is a normally…

A: Let us denote X=the cost of building a luxury home X follows a normal distribution with mean=500,000…

Q: A survey showed the following probabilities of having X number of dogs per househol X = number of…

A: Obtain the value of mean. The value of mean is obtained below as follows: The value of mean is…

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.