A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 10.2 inches and standard deviation of 1.8 inches. If a sample of 31 items are chosen at random, what is the probability the sample's mean length is greater than 10.1 inches? Round answer to four decimal places.

Q: Find the probability that the sample mean is between 40 and 50. Sample size is 36 are drawn randomly…

A: From the provided information, Mean (µ) = 45 Standard deviation (σ) = 20 X~N (45, 20) Sample size…

Q: Two out of 8 students at a local college say that they skip dinner in the evening. Find the mean,…

A: Given that  Success of probability p =2/8=0.25 Number of trials n=20 X~binomial (n,p)

Q: A significant number of students completed a Statistics exam, and the final marks had a mean of 70…

A: Answer - A significant number of students completed a Statistics exam, and the final marks had a…

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A: The variable x¯ is defined as the mean blood pressure levels. The sample size is 16, mean is 70.2,…

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

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Q: The salary for workers at a company are normally distributed with a mean of $60,000 and a standard…

A: # Given: salary of workers follow normal distribution with mean mu=$60000 and standard deviations…

Q: The distribution of scores for the third exam in a statistics course has a mean of 74 and a standard…

A: Given Information: Mean, μ=74 Standard Deviation, σ=15 Sample Size, n=36

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A: It is given that the mean is $85,000 and the standard deviation is $20,000.

Q: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

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Q: The net weight of a can of salmon is a random variable with a mean of 6.07 ounces and a standard…

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Q: The average yearly Medicare Hospital Insurance Benefit per person was $4064 in a recent year. If the…

A: Given: Mean of yearly Medicare Hospital Insurance Benefit per person is $4064, that is, μ=4064.…

Q: About 2% of the population has a particular genetic mutation. Suppose 100 people are randomly…

A: Givenp=2%=0.02n=100x~Binomial(n=100,p=0.02)P(X=x)=(nx)(p)x(1-P)n-x  ; x=0,1,2...,n

Q: A population has a mean of u = 30. If 3 points are added to each score, what is the mean for the new…

A: Given :  Mean(μ)=30 and N=3

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A: Given,mean(μ)=0.75standard deviation(σ)=0.15

Q: Suppose that prices of women’s athletic shoes have a mean of $75. and a standard deviation of…

A: Given information- Mean, μ = $75 Standard deviation, σ = $17.89 Sample size, n = 50 We have to…

Q: A​ bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean…

A: It is given that the ratings are normally distributed with mean 200 miles and standard deviation 50.

Q: Peter collected data to find that the finishing times for cyclists in a race has a normal…

A: 68-95-99.7-rule: Let X be an observation from a normal distribution, having mean µ and standard…

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A: The sample size is 40, average statistics midterm score is 73 points, and standard deviation is 7.3.

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

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Q: The cost of textbooks is normally distributed with a mean of $232. You do not know the population…

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Q: The heights of students are normally distributed with a mean of 59 inches and a standard deviation…

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Q: The scores of individual students on the ACT Exam are modeled as normally distributed with a mean of…

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Q: find the probability that the mean time of a sample of 15 Americans who shower will be less than 12…

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Q: In a bell-shaped distribution, 95 % of the data falls within 1 standard deviation of the mean.

A: Given that In a bell-shaped distribution, 95 % of the data falls within 1 standard deviation of the…

Q: On the daily run of an express bus, the average number of passengers is 48. The standard deviation…

A: Mean = 48 Standard deviation = 3

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Q: The golf scores for a school team were normally distributed with a mean of 68 and a standard…

A: Normal distributionPopulation mean : Population standard deviation : The probability that a golfer…

Q: If a normal distribution has a mean of 35 and a standard deviation of 5, then The median is 35 and…

A: We know that normal distribution is symmetricaldistribution .i.e mean=median=mode

Q: llege students spend studying per week have a distribution that skewed to the right with a mean of…

A: As the sample size is higher than 30, the distribution can be approximated to normal (from central…

Q: The cost of textbooks is normally distributed with a mean of $204. You do not know the population…

A: Given: Population mean μ=204 Sample standard deviation (s)= 40 Sample size (n) = 5

Q: The sample mean and sample standard deviation of all San Francisco student scores on the most recent…

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Q: In a population of normally distributed data, the mean is 68 and the standard deviation is 12.75.…

A: given data normal distributionμ = 68σ = 12.75sample size (n) = 25P(70<x¯<75) = ?

Q: The mean weight of 18-year-old females is 126 pounds, and the standard deviation is 15.7. If a…

A: Here it is given that the mean weight of 18 year old females is normally distributed with mean=126,…