Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.4 and a mean diameter of 212 inches. If 80 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be greater than 211.9 inches? Round your answer to four decimal places

Q: Suppose that the walking step lengths of males are normally distributed with a mean of 2.5 feet and…

A: We have to find given probability.

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2 years,…

A: Given problem Given that

Q: Suppose that the population IQ scores are normally distributed with mean value 100.0 and standard…

A: For the normally distributed IQ scores, it is given that: μ=100.0 and σ=15.0. For n no. of sampled…

Q: last a. Find probability that the average amount of time required to make an oil change in the…

A: It is given asMean = 35.6Standard deviation = 7.5Sample size = 100

Q: Assume that a procedure yields a binomial distribution with a trial repeated n = 14 times. Use…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.7…

A:

Q: acturer knows that their items have a normally distributed lifespan, with a mean of 7.6 years, and…

A: Let the left area of the normal curve is denoted by -z* and the right area of the curve by z*. Now,…

Q: Suppose that a category of world class runners are known to run a marathon (26 miles) in an average…

A: The known values are, μ=142,σ=13,n=49 The mean and standard deviation of sampling distribution of…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.2…

A: Solution: Let X be the life of the item. From the given information, X follows normal distribution…

Q: Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.7…

A: Given Data Population Mean,μ = 2.7 Population Standard Deviation,σ = 0.3 sample…

Q: Suppose babies born in a large hospital have a mean weight of 3225 grams, and a standard deviation…

A: From the provided information,

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 10.7…

A: As per central limit theorem, the standard normal z score of sample mean x is defined as…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7 years,…

A: Given that  μ=7σ=2.1 sample size is n=20 Let 4% of the time their mean life will be less than 'a'…

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

A: L

Q: Suppose that a category of world class runners are known to run a marathon (26 miles) in an average…

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: Give your answer to the nearest gram.

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

Q: Ex. 13. If the probability of a defective bolt is 0.2, find (i) mean (ii) standard deviation for the…

A: Givenp=0.2sample size(n)=400

Q: A particular fruit's weights are normally distributed, with a mean of 405 grams and a standard…

A: The normal distribution is the most useful theoretical distribution for continuous variable.  For…

Q: If 70 shafts are sampled at random from the batch, what is the probability that the mean diameter of…

A: Let X be the random variable of the diameter of metal shafts produced in a manufacturing…

Q: The mean weight of an adult is 79 kilograms with a standard deviation of 10 kilograms. If 188…

A: Let  X be the random variable from normal distribution with mean (μ) = 79, standard deviation (σ) =…

Q: A particular fruit's weights are normally distributed, with a mean of 256 grams and a standard…

A: given data  normal distribution μ = 256σ = 29n = 8P(x¯>z) = 0.17

Q: A fair coin is flipped five times. What's the probability that at least two Heads comes up? 29/32…

A:

Q: Suppose a batch of steel rods produced at a steel plant have a mean length of 178 millimeters, and a…

A: From the provided information,Mean (µ) = 178Standard deviation (σ) = 12Sample size (n) = 76

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

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

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: If 446 rods are sampled at random from the batch, what is the probability that the mean length of…

A: Here we have given information, A batch of steel rods produced at a steel plant have a mean length…

Q: Find the probability that the mean height of the sample is greater than 58 inches.

A: Assume that the height of adult females in the United States is approximately normally distributed…

Q: Find the probability that an individual man’s step length is less than 2.3 feet.

A: Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.6…

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

A:

Q: A particular fruit's weights are normally distributed, with a mean of 421 grams and a standard…

A: Given Population Mean, μ=421 Population standard deviation, σ=20 Sample size, n=3

Q: Assume that for the population of all unemployed individuals in Minnesota, the population mean…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.4…

A: From the provided information, Mean (µ) = 7.4 years Standard deviation (σ) = 2 years X~N (7.4, 2) X…

Q: A particular fruit's weights are normally distributed, with a mean of 208 grams and a standard…

A: We have to find mean value for given  data .

Q: The weight of elephants at a zoo in Pittsburgh has a population mean of 5.3 tons and population…

A: Given Mean(μ)=5.3standard deviation(σ)=1.2sample size(n)=12

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7 years,…

A:

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

A: GivenMean(μ)=6.3standard deviation(σ)=1.8sample size(n)=8

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.5…

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

Q: A racing car consumes a mean of 103 gallons of gas per race with a standard deviation of 6 gallons.…

A:

Q: Suppose that the duration of a particular type of criminal trial is known to have a mean of 24 days…

A: Given that : The mean duration of a particular type of criminal trial ( µ ) = 24 days The standard…

Q: If there is an overall 120 movies, the mean is 109.408 And the standard deviation is 19.606. One of…

A: Approach to solving the question: Probability≈0.9963Sketch of Histogram: A histogram would represent…

Q: Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.72.7…

A: Answer  Given  a mean of 2.7 feet and a standard deviation of 0.2 feet. A sample of 63 men’s step…

Q: A particular fruit's weights are normally distributed, with a mean of 422 grams and a standard…

A: The following information has been given: The population mean is μ=422. The population standard…

Q: Suppose that the number of points scored in a game comes from a normal population with an average of…

A: Here points scored follows Normal distribution with mean 12 and SD 9. Here we need to use the…