A leading magazine reported at one time that the average number of weeks an individual is unemployed is 32 weeks. Assume that for the population of all unemployed individuals the length of unemployment is normally distributed where the population mean length of unemployment is 32 weeks and that the population standard deviation is 3 weeks. Suppose you would like to select a random sample of 32 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is less than 31. P(X < 31) = Find the probability that a sample of size n=32 is randomly selected with a mean less than 31. P(M < 31) = Enter your answers as numbers accurate to 4 decimal place

Q: Suppose X is the time it takes a randomly chosen clerical worker to type and send a standard letter…

A:

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A: Given,mean(μ)=100Standard deviation(σ)=15

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A: From the provided information, Mean (µ) = 505 Standard deviation (σ) = 180 Let X be a random…

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A: Refer Standard normal table/Z-table, Lookup for z-score corresponding to area 0.08 to the left of…

Q: e standard deviation is larger than 110% of the population standard deviation. Correct your answer

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Q: Suppose a population of GRE scores has mu = 1000 and standard deviation = 100. Assuming normality,…

A: Given Data Population Mean,μ = 1000.0 Population Standard Deviation,σ = 100.0…

Q: The population of weights of a particular fruit is normally distributed, with a mean of 265 grams…

A: Let X denote the population of weights of a particular fruit is normally distributed, with a mean of…

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: Give your answer to the nearest gram.

A: From given data we have : μ=678,σ=8,n=13

Q: In a population of heroin users, the mean duration of heroin abuse is 5 years with a standard…

A: From the provided information, Mean (µ) = 5 years Standard deviation (σ) = 3 years X~N (5, 3) Sample…

Q: Suppose a population is known to be normally distributed with a mean, equal to 116 and a standard…

A: The percentage of the population would be between 116 and 144 is obtained below:It is given that the…

Q: Suppose samples of size 100 are drawn randomly from a normal population that has a mean of 20 and a…

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Q: Suppose you know that the distribution of sample proportions of nonresidents in samples of 200…

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Q: A population of scores forms a normal distribution with a mean of 180 and a standard deviation of…

A:

Q: The scores on a standardized mathematics test for 8th grade children in New York State from a normal…

A: Obtain the standard z-score for the random variable X equals 75. The standard z-score for the random…

Q: Suppose that grade point averages at one university have a bell-shaped distribution with a mean of…

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Q: Suppose the mean income of firms in the industry for a year is 30 million dollars with a standard…

A:

Q: A random variable is normally distributed with mean 14.2 and standard deviation 18.4. What value is…

A: According to the provided information, mean μ=14.2standard deviation σ=18.4z-score = 3

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

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Q: Suppose the number of items you can deliver in a day is a random variable with some unknown…

A: According to the given information, we have Mean = 35 Standard deviation = 8 Sample size = 36

Q: Suppose that the distribution for total amounts spent by students vacationing for a week in Florida…

A: Answer:- Given     X ~ N(μ, σ )                      Where mean μ   = 650        &amp;    standard…

Q: Suppose the mean income of firms in the industry for a year is 100 million dollars with a standard…

A:

Q: A leading magazine (like Barron's) reported at one time that the average number of weeks an…

A: The mean is 25 and the standard deviation is 7.

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A: GivenMean(μ)=2000standard deviation(σ)=200

Q: Suppose that a service centre finds that the time taken to resolve customer issues has a mean of 20…

A: It is given that μ=20 and σ=4.   The z score is calculated asz=x-μσ

Q: Suppose that a recent article stated that the mean time spent in jail by a first–time convicted…

A: Here is given that mean time is 3.5 and sample is 45. Sample mean is 3 and sample variance is 1.4.…

Q: Suppose the mean income of firms in the industry for a year is 25 million dollars with a standard…

A: Suppose the random variable x defines the income of firms in the industry.

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.