A manufacturer knows that their items have a normally distributed lifespan, with a mean of 9 years, and standard deviation of 1.7 years. If 13 items are picked at random, 4% of the time their mean life will be less than how many years? Give your answer to one decimal place.

Q: Suppose that a company makes light bulbs with a mean life of 310 hours, and a standard deviation of…

A: Given,  Mean μ = 310 Standard deviation σ = 47 Let x be hours a light bulb last

Q: A population has a mean of μ= 30 and a standard deviation of σ = 5.  If 5 points were added to every…

A: The value of population mean is μ=30. If 5 points were added to every score in the population, then…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.8…

A: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.8…

Q: A population data set has a mean of 81 and a standard deviation of 5.2. Find the z-scores for each…

A: Population mean, μ=81 population standard deviation, σ=5.2 The formula of z-score is, z=x-μσ…

Q: Suppose that the life expectancy of a certain brand of nondefective light bulbs is normally…

A: Given that the life expectancy of non defective light bulbs follows normally dist with mean 1200 hr…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 4.5…

A:

Q: A company pays its employees an average wage of $22.50 an hour with a standard deviation of $2.30.…

A: Given data: Mean = $22.50 an hour standard deviation = $2.30 To find: What is the highest 5% of the…

Q: Suppose the heights of adult women are normally distributed with a mean of 65 inches and a standard…

A: Given: The heights of adult women are normally distributed with Mean, μ=65 inches Standard…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14.8…

A: GivenMean(μ)=14.8standard deviation(σ)=1.6

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.4…

A: Given, Mean = μ=11.4SD = σ=2.3Probability=0.02

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.3…

A: Let X = Lifetime X~N(μ,σ) μ=10.3σ=2.2

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.3…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 9.7…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.3…

A: Let "X" be the shortest lifespan of the item in years. Refer Standard normal table/Z-table,…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 9.3…

A: Draw the normal curve and shade the area of 0.10 to the left of z. Use excel formula…

Q: Suppose that the life expectancy of a certain brand of nondefective light bulbs is normally…

A: From the given information, Consider, X be the random variable that shows number of non defective…

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 normally distributed lifespan, with a mean of 14.8…

A: Let "X" be the lifespan of their items. Find z-value (z): Refer Standard normal table/Z-table,…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 6.5…

A: The random variable X is defined as the lifespan of items which follows normal distribution with…

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: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.8…

A:

Q: The final grades in a math class has a mean of 77 and a standard deviation of 9.77 if the professor…

A: Here we need to find the cutoff for A grade. Given that the top 10% are given A. We assume that the…

Q: Suppose a probability and statistics class took an exam that had a mean of 60 and a standard…

A: Given, E(X)=60 SD(X)=12   After 10 Point curve Let Y be new variable.

Q: The population weights of a particular fruit is normally distributed, with a mean of 689 grams and a…

A: Given: μ = 689 σ = 30 n = 18 The value of z at 4%, i.e., corresponding to the right to the 4% area…

Q: A group of male basketball players has a mean height of 79 inches and a standard deviation of 1.7…

A: Introduction: Denote X as the height of a randomly chosen male basketball player. A group or sample…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.3…

A: Given that  The data that life span of a product is normally distributed. Mean (μ) = 12.3 years.…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.2…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 15 years,…

A: From the provided information, Mean (µ) = 15 years Standard deviation (σ) = 3.9 years Let X be a…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 6.7…

A: Let "X" be the lifespan of an item. Draw the normal curve and shade the area of 0.02 to the left…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.7…

A: Consider a random variable X, defines the lifespan of an item.

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

A: The provided information is: Meanμ=12.40 Standard deviationσ=3.30   Consider that X is a random…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.9…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.7…

A: Let X denote the lifespan of items and it follows normal distribution with a mean of μ=10.7 years,…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.6…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.8…

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

Q: Suppose that the life expectancy of a certain brand of nondefective light bulbs is normally…

A:

Q: Suppose the scores on a college entrance examination are normally distributed with a mean of 525 and…

A:

Q: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation…

A: Given,sample size (n)=50sample mean(μ)=268standard deviation (σ)=15

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

A: We have given that  X~N( mu , sigma^2) mu=35.5  ,sigma = 2.5 Z-socre =(x-mu)/sigma

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.7…

A: It is given that the mean is 10.7 years and standard deviation is 3.4 years. The z-score for 0.02…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.7…

A: Given : mean = μ = 2.7Standard deviation = σ = 0.9

Q: Both sets of values have an average of 13.  Is Set A's standard deviation smaller, larger, or about…

A: deviations from mean are more for set A 1-13, 2-13, 3-13, 23-13, 24-13, 25-13, -12, -11, -10, 11, 12…

Q: Suppose that the lengths of pregnancies are normally distributed with a mean of 270 days and a…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 6.3…

A: Given that,  The 5% of items with the shortest lifespan will last less than the years is,

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 4.9…

A: Given,mean(μ)=4.9  yearsstandard deviation(σ)=1.2  years

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

A: Given data Mean μ = 35.5 inches Standard deviation ? = 2.5 inches For top 2.8% P (Z >z) = 0.028 P…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5 years,…

A: Given information Population mean µ = 5 years Standard deviation σ = 0.6 years We have given that…

Q: If you get a sneak peak at the salary list of your job and realize you are in the lowest bracket,…

A: Let X= salary  Given that X follows a normal distribution with mean= 48000 and standard deviation =…

Q: Using the same one-tailed test (α = .05), determine if the data indicate that the past four years…

A: From provided information, the number of 90° days form a normal-shaped distribution, with a mean of…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14.3…

A: Let "X" be the shortest lifespan of the items. Sketch the normal curve and shade the area of 0.09…