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 approximately normally distributed,…

A: X: Length (in inches) X~N19.8,3.32 n=31

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 5 inches,…

A: μ=mean=5 , Standard deviation=σ=1.4  n=44 Z-score=Z=(x̅-μ)/(σ/√n) If the sample size is greater than…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 8.1…

A: Given Mean=8.1 Standard deviation=0.5 N=40

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 7.3…

A: Solution: Let X be the length of item. From the given information, µ=7.3 inches and σ=0.6 inches.

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 72 inches…

A:

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 65 inches…

A: Let X=the heights of 18-year-old menGiven that X follows a normal distribution with mean=65 and…

Q: A manufacturer knows that their items have a lengths that are approximately normally distributed,…

A:

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 66 inches…

A: X: the heights of 18 year old menX~N(μ,σ)where μ=66 inches and σ=5 inches

Q: In a murder trial in Los Angeles, a shoe expert stated that the heights of men with size 12 shoes is…

A: It is given that the heights of men with size 12 shoes is normally distributed with mean 73.5 inches…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 14.3…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 14.3…

A:

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 65 inches…

A:

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches…

A:

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 5.2…

A: Given that the manufacturer knows that the lengths are skewed right. Which means that we cannot…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.6…

A: Mean = 11.6 Standard deviation = 2.9 Sample size = 16

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 9.2…

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

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 5.8…

A: GivenMean(μ)=5.8standard deviation(σ)=1.2sample size(n)=39

Q: A bank auditor claims credit card balances are normally distributed, with a mean of $3,500 and a…

A:

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 65 inches…

A:

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 72 inches…

A: Given that , the heights of 18-year-old men are approximately normally distributed, with mean 72…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 19.6…

A: The answer is attached below,

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches…

A: a) It is given that X~ N (69, 6). The probability that an 18-year-old man selected at random is…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 9.7…

A:

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 11.7…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: manufacturer knows that their items have a lengths that are skewed right, with a mean of 19.3…

A: Given that.   X~N( μ , ?^2 )   μ=19.3     , ?=5.7  ,n=48   Z-score =( x - μ )/?

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches…

A:

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 66 inches…

A: From the provided information, Mean (µ) = 66 inches Standard deviation (σ) = 4 inches Let X be a…

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches…

A: Probability that an 18-year-old man selected at random is between 70 to 72 inches tall, Here in the…

Q: A manufacturer knows that their items have a lengths that are approximately normally distributed,…

A: The following information about the mean and standard deviation has been provided: \mu = 19.5,…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 15.2…

A: Given, n=41 which is greater than 30 which implies that the Here,

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 70 inches…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: A manufacturer knows that their iterns have a lengths that are skewed right, with a mean of 16.6…

A: Given data,μ=16.6σ=5.4If n=33P(X>16.2)=?

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 13.8…

A: The central limit theorem says that for a sequence of independent and identically distributed random…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 10.1…

A:

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 11.5…

A: GivenMean(μ)=11.5standard deviation(σ)=1.4sample size(n)=34

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 16.4…

A: From the provided information, Mean (µ) = 16.4 Standard deviation (σ) = 4.3

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 5.7…

A:

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 9.5…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 9.5, standard…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 5.9…

A: Given that the sample size=n=31 Since n>30, so the sampling distribution follows a normal…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 13.8…

A: Solution: Let X be the items have a normally distributed length, with a mean μ= 13.8 inches, and…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 13.5…

A:

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches…

A: Here it is given that ,the heights of 18-year-old men are approximately normally distributed, with…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 11…

A: Mean = 11 Standard deviation = 2.9 Sample size = 36

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches…

A: We want find the following probability

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 11.8…

A: Mean = 11.8 Standard deviation = 2.9 Sample size, n = 50

Q: For certain workers, the mean wage is $7.50/hr, with a standard deviation of $0.75. If a worker is…

A: From the given information, μ=7.50σ=0.75

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 73 inches…

A: From the given information,   Mean = 73 Standard deviation = 5 Sample size = 22   The objective is…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 11.5…

A:

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 70 inches…

A: Given that, The heights of 18-year-old men are approximately normally distributed, with mean 70…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 19.6…

A: Given Data Population Mean,μ = 19.6 Population Standard Deviation,σ = 2.6 sample…