A manufacturer knows that their items have a lengths that are skewed right, with a mean of 19.6 inches, and standard deviation of 2.6 inches. If 37 items are chosen at random, what is the probability that their mean length is greater than 19.2 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 head circumferences of women are normally distributed with a mean of 32 cm and a standard…

A: We have given that.   X~N( μ , ?^2 )   μ =32 , ? =9   , n= 16   Z-score =( x - μ )/?   Note…

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 approximately normally distributed,…

A:

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 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: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 65 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 lengths that are skewed right, with a mean of 6.1…

A: Given: Length of items = X X distribution is skewed towards right mean of X= 6.1 inches standard…

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

A: Given data:     The given mean length is: μ=11.5 in. The standard deviation is: σ=0.5 in. The number…

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: 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: A manufacturer knows that their items have a normally distributed length, with a mean of 18.8…

A: The probability that it is less than 18.8 inches long when one item chosen at random is obtained…

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

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 13.9…

A:

Q: The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is…

A: Solution: Let X be the number of miles between services. From the given information, X has mean…

Q: Suppose the heights of 18-year-old men are approximately normally distributed, with mean 67 inches…

A: Let X be the height of an 18-year-old man. It is given that X~N(67, 6) (a) The probability of an…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.6…

A: Given, μ=5.6σ=1.8

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 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 73 inches…

A:

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 professor at a university gives her large class an examination and finds that the scores follow…

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 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 produces items whose lengths are normally distributed with a mean of 18.2 inches and…

A: Let X be the manufacturer produced items  X~ N(μ=18.2, σ2=2.22) We want to find P(X<13.5)= ?

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

A: Given,   Mean = 7.3 Standard deviation = 0.6 Sample size = 36   The objective is to find the…

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: items have a normally distributed lifespan, with a mean of 14.9 years, and standard deviation of 0.8…

A:

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 11.1…

A:

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 11.2…

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: The weights of newborn babies are distributed normally, with a mean of approximately 115 oz and a…

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 inches,…

A: Given: Population mean = 5 inches Population standard deviation = 0.7 inches Sample size = 37 To…