A manufacturer knows that their items have a lengths that are skewed right, with a mean of 11.1 inches, and standard deviation of 3 inches, If 40 items are chosen at random, what is the probability that their mean length is greater than 12.3 inches? (Round answer to four decimal places)

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 19.4…

A: Solution :  Mean = 19.4 Standard deviation = 2.8 Sample size = 36 P(xbar > 18) z-statistic: (xbar…

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: Janice measures the circumferences of the trunks of trees in the woods near her house for a science…

A: The mean is 72 inches and the standard deviation is 5 inches.

Q: Suppose the scores on an IQ test are normally distributed. If the test has a mean of 100 and a…

A:

Q: 00 freshmen at Arundel University took part in a math comprehension test. The scores were normally…

A: The middle (center) of the normal curve represents the mean of the curve. The normal curve is the…

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: A data set is formed by recording the sums in 400 rolls of a pair of a dice. A second data set is…

A: Standard deviation:The standard deviation indicates by how much each observation differs from a…

Q: A successful basketball player has a height of 6 feet 2 ​inches, or 188 cm. Based on statistics from…

A: Given the Z score of height of basket ball player is 1.95. The original height of the basket ball…

Q: The probability that an individual is left handed is 0.15 in a class of 60 students. What is the…

A: Given data: The given probability is p=0.15. The numbers of students are n=60. The expression for…

Q: Suppose the mean height in inches of all 9th grade students at one high school is estimated.

A: Population standard deviation, σ =3 inches Sample size n=6

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: The average score of this quiz is 24 points with a standard deviation of 1.5 points. What is the…

A: Let us assume that X=score of a quizX follows a normal distribution with mean=24 and standard…

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: If the probability of defective bolt is 0.1, find the mean and the standard deviation for the number…

A: Given the probability of a defective bolt is, 0.1 That is, p=0.1 The total number of bolts is, n=400…

Q: Provide an appropriate response. 11) The probability that a tennis set will go to a tiebreaker is…

A: Suppose a random variable x, defines the number of tiebreakers in tennis set.It is given the…

Q: The amount of pyridoxine in grams per multiple vitamin pill has a mean of 180 and a standard…

A: Given,mean(μ)=180standard deviation(σ)=24sample size(n)=64

Q: Suppose a probability and statistics class took an exam that had a mean of 60 and a standard…

A: Given, E(X)=60 SD(X)=12   After 10 Point curve Let Y be new variable.

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A: Consider X be a random variable which follows normal distribution indicates the distance of fly…

Q: When Lauren runs the 400 meter dash, her finishing times are normally distributed with a mean of 88…

A:

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

A:

Q: Six measurements were made of the magnesium ion concentration (in parts per million, or ppm) in a…

A: Formula for the confidence interval about the mean is                    C.I=x±t*snWhere, x=Sample…

Q: The weight of elephants at a zoo in Pittsburgh has a population mean of 5.3 tons and population…

A: Given Mean(μ)=5.3standard deviation(σ)=1.2sample size(n)=12

Q: Proctor & Gamble reported that an American family of four washes an average of 1 ton (2000…

A: Introduction:Here, the suggested population mean, μ = 2,000 pounds.The population standard…

Q: loaded my die so that the chance of a 1 is 0.1, the chance of a 6 is 0.2, and the chances of the…

A: Use ∑P(x) =1   to find the remaining probability

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

A:

Q: For a random sample of 10 men, the mean head circumference is x-bar= 57.3 cm and the sample standard…

A:

Q: Assume that the heights of men are normally distributed with a mean of 69.5 inches and a standard…

A: It is given that  Mean, μ = 69.5 Standard deviation, σ = 2.1 Sample size, n = 36

Q: The average person uses 130 gallons of water daily. If the standard deviation is 35 gallons , find…

A: Given that, Mean = 130 Standard deviation = 35 Sample size = 25

Q: use an ti84 device to solve.  The head of maintenance at XYZ Rent-A-Car believes that the mean…

A: Given: Mean μ=4959 Standard deviation σ=448 Sample size n=43

Q: A professor wants to know if her Psychology statistics class has a good grasp of Ba math. Six…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: The average score of this quiz is 24 points with a standard deviation of 1.5 points. What is the…

A: Given data,μ=24σ=1.5P(X<21.9)=?

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 455 grams and a standard…

A:

Q: The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the…

A: Let "X" be the average life span of NJ residents

Q: a study of 880 homeowners in a certain area showed that the average value of the homes was $82,000,…

A: Answer: From the given data, Mean (μ) = 82000 Standard deviation(σ) = 5000 Sample size(n) = 50 X…