A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 147.6 cm and a standard deviation of 1.5 cm. For shipment, 15 steel rods are bundled together. Note: Even though our sample size is less than 30, we can use the z score because 1) The population is normally distributed and 2) We know the population standard deviation, sigma. Find the probability that the average length of a randomly selected bundle of steel rods is greater than 147.1 cm.

Q: The local aquarium houses sharks of various species. The distribution of the lengths of the adult…

A: female:μ1 = 4.02σ1 = 0.26x1 = 3.3male:μ2 = 2.61σ2 = 0.35x2 = 1.9

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

A:

Q: A test score in the top 2% is required. The test is designed to have a mean of 100 and a std dev. of…

A: It is given that the test is normally distributed with mean 100 and standard deviation is 15. The…

Q: he weights of toilet paper rolls are normally distributed with a mean of 7 ounces and a standard…

A: mu = 7 s = 0.6

Q: Assume the samples are random and independent and the populations are normally distributed. A marine…

A: Given problem is :   Assume the samples are random and independent and the populations are…

Q: manufacturer is producing metal rods whose lengths are normally distributed with a mean of 65.0 cm…

A: Population Mean,μ = 65 Population Standard Deviation,σ = 0.3

Q: If an espresso machine out-pour is normally distributed with the mean of 0.9 ounces and standard…

A: Let  X be the random variable from normal distribution with mean (μ) = 0.9 and standard deviation…

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

A: We are given,μ = 196σ = 22n = 60

Q: The speed limit on Interstate 81 in Susquehanna County is 70 miles per hour (mph).  On a clear day…

A: The speed limit on Interstate 81 in Susquehanna County is 70 miles per hour (mph) The mean speed of…

Q: A fruit-canning company produces 250ml pineapple juice cans at its bottling plant. The population…

A: Given that, The population standard deviation for volume of pineapple juice filled in the cans is,…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A:

Q: Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a…

A:

Q: The average size of a farm in Texas is 185 acres. The average size of a farm in Kansas is 220 acres.…

A: Given,  x1 = 185,  n1 = 10, s1 = 40x2 = 220,  n2 = 12, s2 = 15 α = 0.05 degree of freedom, n1+n2-2…

Q: The carapace length of an adult is normally distributed with a mean of 17.55 mm and a standard…

A:

Q: Women's height are normally distributed with a mean of 64.7 inches and a standard deviation of 3.1.…

A: Given that.   X~N( μ , ?)   μ=64.7     , ?=3.1   Z-score =( x - μ )/?

Q: suppose the walking step lengths of an adult males are normally distributed with a mean of 2.7 feet…

A: Given that  Mean=μ=2.7 Standard deviation=σ=0.3 Sample size=n=70 X~Normal(μ=2.7,σ=0.3)

Q: A person records the speeds of various cars as they drive past their house. After 100 readings, the…

A: Given,mean(μ)=23.84standard deviation(σ)=3.56

Q: Find the probability that the mean of a randomly chosen sample of 25 students scores is between 72.3…

A:

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: particular group of men have heights with a mean of 181 cm and a standard deviation of 8 cm. Richard…

A:

Q: A manufacturer is producing metal rods, whose lengths are normally distributed with a mean of 65.0…

A: #.Given : length of rod follow normal distribution with mean=65 cm and standard deviations=0.3 cm…

Q: In its fuel economy economy guide, the EPA gives a variety of data on 2016 model year vehicles.  If…

A: Let X denote the highway gas mileage is approximately normally distributed with mean 23.0 mpg and…

Q: inces with a standard deviation of 0.2 ounces. 24 boxes are packed into each case. Suppose we look…

A: n=24 Sample sizeμ=16 ouncces Population mean σ=0.2 ounces Population standard deviation

Q: The speed of cars driving past Johnson City High School, on 666 Reynolds Rd, were recorded over one…

A: In this intriguing analysis centered around traffic speeds near Johnson City High School, the…

Q: he seasonal output of a new experimental strain of pepper plants was carefully weighed. The mean…

A: normal distribution ,μ=17σ=1.75n=200p(13<X<16)=?

Q: Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean…

A: The detailed solution is as follows below:

Q: The weights of the guinea pigs in a laboratory are normally distributed with a mean weight of 2.1…

A: Suppose the random variable X defines the weights of the guinea pigs.

Q: The weights of Australian Cattle Dogs are normally distributed with a mean of 25 kg and a standard…

A: The probability (%) that a randomly selected dog weighs between 23 kg and 32 kg is…

Q: Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a…

A: Introduction: Denote X as the blood pressure of a randomly selected patient. It is given that X has…

Q: Assume that the heights of men are normally distributed with a mean of 68.1 inches and a standard…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a…

A: From the provided information, Mean (µ) = 85 Standard deviation (σ) = 20 X~N (85, 20) Sample size…

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.