A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 14 inches, and standard deviation of 3 inches. If 47 items are chosen at random, what is the probability that their mean length is greater than 14.5 inches? (Round answer to four decimal places)

Q: The cost of textbooks is normally distributed with a mean of $203. You do not know the population…

A: Solution: Let X be the cost of textbook. From the given information, x-bar=$203, s=$48 and n=4.

Q: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation…

A: (a)   Obtain the probability that pregnancy will last 307 days or longer. The probability that…

Q: The diameters of ball bearings are distributed normally. The mean diameter is 87 mm and the standard…

A:

Q: The cost of textbooks is normally distributed with a mean of $223. You do not know the population…

A:

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300lbs and the…

A: Solution: Let X be the weights of steers in a herd. From the given information, X follows normal…

Q: Given the mean is 120 minutes and the standard deviation is 30 minutes. What is the probability that…

A: The mean is 120 minutes and standard deviation is 30 minutes.

Q: 9% of all cars fail the emissions inspection, find the probability that in a sample of 125 cars, 16…

A: Given n=125 P=0.09

Q: If the mean height of a population of students is 68 inches with standard deviation 3 inches, what…

A: Given that      The mean height of a population of students is 68 inches with standard deviation 3…

Q: normally distributed with a mean of 28 ounces and a standard deviation of 1 ounce.  What is the…

A: From the available information, the amounts of boxed cereal are normally distributed with a mean of…

Q: The mean GPA of university students is 2.3 with a standard deviation of 1.2. If you were to draw 36…

A:

Q: The net weight of a can of salmon is a random variable with a mean of 6.07 ounces and a standard…

A:

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200 lbs and the…

A: From the above given data the following solution is provided below:

Q: Exhibit 6-5 The weight of items produced by a machine is normally distributed with a mean of 8…

A: Given that  Mean = 8 Standard deviation = 2 Find P(X = 8 )

Q: High school girls average 80 text messages daily. Assume the population standard deviation is 15…

A: Given information:

Q: If 70 shafts are sampled at random from the batch, what is the probability that the mean diameter of…

A: Let X be the random variable of the diameter of metal shafts produced in a manufacturing…

Q: The population mean is 20 inches and population standard deviation is 4 inches. A random sample of…

A: mean = 20 s =4

Q: The mean weight of an adult is 79 kilograms with a standard deviation of 10 kilograms. If 188…

A: Let  X be the random variable from normal distribution with mean (μ) = 79, standard deviation (σ) =…

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: A pet store has 500 rats whose weights have a mean of 16oz with a standard deviation of 1.1 oz. You…

A: Given Data Population Mean,μ = 16.0 Population Standard Deviation,σ = 1.1 sample…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 17.4…

A:

Q: The weights of college football players are normally distributed with a mean of 193 pounds and a…

A: Mean = 193 Standard deviation = 53

Q: A population is normally distributed with a mean of 50 and a standard deviation of 10. Find the…

A: Given data,Mean μ=50sd    σ=10P(X<44)=?

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

A: Given,mean(μ)=85standard deviation(σ)=20sample size(n)=100

Q: A particular fruit's weights are normally distributed, with a mean of 376 grams and a standard…

A: given data normal distributionμ = 376σ = 38P(315<x<357) = ?

Q: The net weight of a can of salmon is a random variable with a mean of 6.21 ounces and a standard…

A: Solution

Q: The cost of textbooks is normally distributed with a mean of $232. You do not know the population…

A:

Q: The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard…

A: Z= x¯-μσn~N(0,1) n  = 36 , x¯ = 98.6 , μ = 98.6 , σ = 0.6

Q: The body temperatures of all mosquitoes in a county have a mean of 57∘F and a standard deviation of…

A:

Q: Suppose that heights of women in Utah are normally distributed with a mean of 74 inches and a…

A:

Q: The life of lightbulbs is distributed normally. The standard deviation of the lifetime is 20 hours…

A: The following information has been provided: The population mean is μ=600. The population standard…

Q: A racing car consumes a mean of 103 gallons of gas per race with a standard deviation of 6 gallons.…

A:

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: The weight of rice is normally distributed. Each bag of rice weighs with a mean of 50 pounds and a…

A:

Q: he cost of textbooks is normally distributed with a mean of $249. You do not know the population…

A: Given Information: The cost of textbooks is normally distributed with a mean of $249. Mean = 249…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and the…

A:

Q: A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard…

A: Given, Mean weight of cantaloupes is 700 gm. Standard deviation is 53 gm