A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean life of 8989 months with a standard deviation of 55 months. If the claim is true, what is the probability that the mean monitor life would differ from the population mean by less than 1.21.2 months in a sample of 123123 monitors? Round your 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: Suppose the mean income of firms in the industry for a year is 100 million dollars with a standard…

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

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: Suppose that the annual rainfall in Ferndale, California, is known to be normally distributed, with…

A: Given, Mean, μ = 35.5 Standard deviation, σ = 2.5 We have to find the probability that the rainfall…

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: According to the US Bureau of Labor Statistics, the average American spent 2.75 hours a day watching…

A: A z-score represents the position of a data point in terms of its distance from the mean when…

Q: The quality control manager at a computer manufacturing company believes that the mean life of a…

A:

Q: A typical adult has an average IQ score of 110 with a standard deviation of 25. If 40 randomly…

A:

Q: If the mean height of a population of university students is 166cm (μ=166) and the standard…

A: Consider,X be the height of students which follows normal distribution with mean of 166 cm and…

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: The quality control manager at a computer manufacturing company believes that the mean life of a…

A: Given that, μ=120,σ=10 and n=90 The probability that the mean of a sample of 90 computers would…

Q: A federal study reported that 7.5% of the U.S. workforce has a drug problem. A drug enforcement…

A: (a1)The number would you expect to have a drug problem is,

Q: The mean per capita consumption of milk per year is 153 liters with a standard deviation of 27…

A:

Q: Suppose babies born in a large hospital have a mean weight of 3316 grams, and a standard deviation…

A: The probability that the mean weight of the sample babies would differ from the population mean by…

Q: If the grades on a statistics test are normally distributed with a mean of 80 and a standard…

A: Introduction: Define X as the grade of a randomly selected student. It is given that X has a normal…

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: According to government data, the probability that a woman between the ages of 25 and 29 was never…

A:

Q: In 1974, the mean weight for men in the United States aged 18-74 was 172 pounds, with a standard…

A: Given that mean =172.sigma =31.1 What is the probability that any man chosen from the sample weighs…

Q: An operation manager at an electronics company wants to test their amplifiers. The design engineer…

A: Solution: Let X be the amplifier output. From the given information, µ=364 watts and σ=12 watts. By…

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: 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: The mean cost of a 5 pound bag of shrimp is 40 dollars with standard deviation of 7 dollars. If a…

A: GivenMean(μ)=40standard deviation(σ)=7sample size(n)=51

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

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: If it is known that the mean time between eruptions at Old Faithful is 96 minutes with a standard…

A: Given that standard deviation of 12 minutes

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: The mean cost of a five pound bag of shrimp is 50 dollars with a standard deviation of 6 dollars.…

A: Given information Mean (µ) = 50 Standard Deviation(σ) = 6 Sample size (n)= 40 probability that the…

Q: A typical children has an average IQ score of 115 with a standard deviation of 40. If 25 randomly…

A:

Q: According to government data, the probability that a woman between the ages of 25 and 29 was never…

A:

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: Ten years after graduation, the salaries of Heriot-Watt University graduates are Normally…

A: Given that.   X~N( μ , ?^2 )   μ=55000    , ?=11000   Z-score =( x - μ )/?

Q: Suppose your customers' incomes are normally distributed with a mean of $37,500 with a standard…

A: Given,mean(μ)=37500standard deviation(σ)=7600

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

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

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 mean income of firms in the industry for a year is 85 million dollars with a standard…

A:

Q: Suppose that the scores on a reading ability test are normally distributed with a mean of 70 and a…

A: mean = 70 standard deviation = 9 x = 85

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

A:

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

A:

Q: Suppose a batch of metal shafts produced in a manufacturing company have a standara deviation of 1…

A: From the provided information, Mean (µ) = 201 inches Standard deviation (σ) = 1 X~N (201, 1)

Q: Assume heights of men are normally distributed with a mean of 69.3 inches with a standard deviation…

A: Given Information mean (µ) = 69.3 standard deviation (σ) = 3.4 X follows normal distribution a)…

Q: Assume that IQ scores are normally distributed, with a standard deviation of 14 points and a mean of…

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 racing car consumes a mean of 106 gallons of gas per race with a standard deviation of 6 gallons.…

A: It is given that the mean and standard deviation are 106 and 6. The sample size n is 33.By using…

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.