A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the lengths of these nails is approximately normal with a mean of 5 inches and a standard deviation of 0.10 inch. The quality control inspector takes a' sample of 25 nails once a week and calculates the mean length of these nails. If the mean of this sample is either less than 4.95 inches or greater than 5.05 inches, the inspector concludes that the machine needs an adjustment. What is the probability that based on a sample of 25 nails, the inspector will conclude that the machine needs an adjustment? Round your answer to 4 decimal places. .0062 Probability = the tolerance is +/-2%

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 14.2…

A: GivenMean(μ)=14.2standard deviation(σ)=2.2

Q: The Boeing 727 airliner carries 200 passengers and has doors with a height of 72 inches. Heights of…

A: Use excel formula "=NORMDIST(72, 68.5, 2.4/SQRT(100), TRUE)" to find the probability. Answer:

Q: It has been observed that the net amount of soda in such a can has a normal distribution with a mean…

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

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 12.6…

A: The provided information are:

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Q: The amounts of electricity bills for all households in a city have a skewed probability distribution…

A:

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

A:

Q: A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the…

A:

Q: he weights of toilet paper rolls are normally distributed with a mean of 7 ounces and a standard…

A: mu = 7 s = 0.6

Q: A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the…

A: Xi : length of the ith nail. Given that Xi ~ N(5,0.512) So, sample mean, X ~ N(5,0.512/114)

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 length, with a mean of 13.7…

A: Given: Calculate the corresponding z score as follows: Calculate the probability that their mean…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 13.2…

A: The random variable is item. It follows standard normal distribution. It is given that the…

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A:

Q: The weight of a 10 year old girl is normally distributed with a mean of 80 pounds with a standard…

A: It is given that the mean is 80 and the standard deviation is 6.

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A: It is given that the mean is 9.1 and standard deviation is 1.3.

Q: The distribution of weekly salaries at a large company is right skewed with a mean of $1000 and a…

A: Given,sample size (n)=50mean(μ)=$1000standard deviation(σ)=$350

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A: We have to find out given probability..

Q: An electrical firm manufactures incandescent light bulbs that have a length of life (in hours) that…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 12.4…

A: Given Information: Mean μ=12.4 Standard deviation σ=2.6 If 4 items are chosen at random, to find the…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 15.4…

A: We know it is normally distributed. So we can use the z - probability formula. z=x-μσ Here, μ -…

Q: What is the probability that a randomly chosen light bulb will have a lifetime of more than of 1,000…

A: Let X denote the lifetimes of the light bulb produce by Flip Company. Given that X follows N(mean =…

Q: The time student spends on his/her homework is normally distributed with the mean of 122 minutes and…

A: From the given information, the mean value is 122 minutes and standard of 53. That is,  μ=122σ=53

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 12.5…

A: given  A manufacturer knows that their items have a normally distributed length, with a mean of 12.5…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 19.2…

A: Given that, Mean = 19.2 Standard deviation = 3

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 16.4…

A:

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A: Given values, μ=1.75σ=1.02x¯=1.68n=60

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 5.5 inches,…

A:

Q: The Boeing 727 carries 200 passengers and has doors with a height of 72 inches. heights of men are…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 14.5…

A: We have to find given probability.

Q: at their items have a normally distributed length, with a mean of 16.8 inches, and standard…

A: According to the sum, A manufacturer knows that its items have a normally distributed length, with a…

Q: Suppose that the body lengths of adult male crested porcupines in a certain region in the U.S. are…

A: The random variable X is defined as the body lengths of adult male crested porcupines in a certain…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 8.7 inches,…

A: Let x be the length which follows normal distribution with mean 8.7 and standard deviation 2.2. The…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 5.2 inches,…

A: Obtain the probability that the mean length is less than 5.6 inches. The probability that the mean…

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A: The probability that their mean length is less than 9.5 inches is obtained below: From the given…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 6 inches,…

A: GivenMean(μ)=6standard deviation(σ)=0.6sample size(n)=22

Q: A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: The weight of people in a small town in Missouri is known to be normally distributed with a mean of…

A: Mean = 180 Standard deviation = 28 Sample size, n = 40

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A: Mean (µ) = 27 Standard Deviation (σ) = 3 Sample size (n) = 20 Probability that the sample mean…

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: Given that: X is normally Distributed with mean µ = 1.75 and standard deviation σ = 1.02 By using…

Q: An automobile battery manufacturer claims that its mid grade battery has a mean life of 50 months…

A: Mean is 50 and a standard deviation is 6.  Sample size 36.

Q: The wingspans of the females of a certain species of bird of prey form a normal distribution with…

A:

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: Given Information: The producer of a weight loss pill advertises that people who use this pill,…

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

A: The mean and standard deviation are 10.1 and 0.9, respectively.

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 19.1…

A: Obtain the Z-score of the random variable X equals 26.6. The Z-score of the random variable X equals…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 17 inches,…

A: Let X be the length of the item. We have, μ=17, σ=5.4  We want to find out P(X<4.8) when X=4.8,…

Q: Suppose the average speeds of passenger trains traveling from Colombo to Jaffna  are normally…

A: Given,       Mean μ=88       Standard deviationσ=6.4   1) Required probability is Px<70…

Q: The diameter of a brand of ping-pong balls is approximately normally distributed with a mean of 1.5…

A:

Q: The height of women in the United States is normally distributed with a mean of 165 cm and standard…

A: The normal distribution has curve with bell shape and it is symmetric about the mean. The normal…

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.