A manufacturer knows that their iterns have a lengths that are skewed right, with a mean of 16.6 inches, and standard deviation of 5.4 inches. If 33 items are chosen at random, what is the probability that their mean length is greater than 16.2 inches? (Round answer to four decimal places)

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: At a large government office center in Chicago, it has been found out that the time employees spend…

A:

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: In a recent study, the Centers for Disease Control and Prevention reported that the diastolic blood…

A: Given that, Mean, mu= 80.5 And standard deviation, sigma= 9.9 X~ N(80.5, 9.9) We know that, z score…

Q: A small aircraft carries 20 passengers and has doors with a height of 72 in. Heights of men are…

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 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: probability that an 18-year-old man selected at random is between 69 and 71 inches tall

A: Given Data :   Suppose the heights of 18-year-old men are approximately normally distributed.…

Q: The entrance test scores for SHS in a certain school has a mean of 85 and a standard deviation of…

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: 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 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 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 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 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: 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 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: According to an annual survey conducted by TheKnot.com, the mean cost of a wedding in 2017 was…

A: Given information: Mean=33, 391 Standard deviation=1500 a) The probability that a randomly selected…

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

A: Suppose the heights (X) of 18-year-old men are approximately normally distributed. Mean = μ = 66…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 9.6 inches,…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

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: According to the children’s growth chart that doctors use as a reference, the heights of…

A:

Q: In a particular country, the height measurements of ten-year-old children are approximately normally…

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: 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 19.6…

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

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…

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.