A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 11 inches and standard deviation of 2.5 inches. If a sample of 43 items are chosen at random, what is the probability the sample's mean length is greater than 10.6 inches

Q: The cost of textbooks is normally distributed with a mean of $203. You do not know the population…

A: Solution: Let X be the cost of textbook. From the given information, x-bar=$203, s=$48 and n=4.

Q: In a series of 5 observations, the values of mean and variance are 4.4 and 8.24. If three…

A: It is given that the mean and standard deviation are 4.4 and 8.24.

Q: An economics professor decides to curve the grades of his class. In doing so, he decides to make it…

A: Given data: An economics professor decides to curve the grades of his class. In doing so, he decides…

Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2010…

A:

Q: A racing car consumes a mean of 9292 gallons of gas per race with a standard deviation of 44…

A: Given: Mean, μ=92Std deviation, σ=4n = 41

Q: In a series of 5 observations, the values of mean and variance are 4.4 and 8.24. If three…

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Q: Part ii) Suppose the number of printers drawn is quadrupled. How will the mean of the sample mean…

A: From the given information, The mean of the distribution is 17.57 ppm and the standard deviation is…

Q: If the mean height of a population of students is 68 inches with standard deviation 3 inches, what…

A: Given that      The mean height of a population of students is 68 inches with standard deviation 3…

Q: Since the number of samples is less than 30, shouldn't t-test be used instead

A: The distribution of weight for the hammers can be assumed to follow a Normal distribution. This…

Q: normally distributed with a mean of 28 ounces and a standard deviation of 1 ounce.  What is the…

A: From the available information, the amounts of boxed cereal are normally distributed with a mean of…

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

A: L

Q: A gambler complained about the dice. They seemed to be loaded! The dice were taken off the table and…

A: Let us first test whether “the data indicate that the die is unbalanced”, using a Chi-square test of…

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

Q: The final exam scores in a statistics class were normally distributed with a mean of 63 and a…

A:

Q: A school has a population of 8000 students with a mean height of 153 cm with a standard deviation of…

A:

Q: The cost of textbooks is normally distributed with a mean of $216. You do not know the population…

A: The mean is $216, sample standard deviation is $49, a sample of 6 textbooks. The probability that…

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

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: A manufacturer knows that their items have a normally distributed length, with a mean of 17.4…

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Q: The mean weight of an adult is 62 kilograms with a variance of 144. If 195 adults are randomly…

A:

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: Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 2.4…

A: Given Information: Mean μ=209 Standard deviation σ=2.4 Sample size n=69

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: 2000 freshmen at state university took a biology test. the scores were normally distributed with a…

A: Solution: Let X be the scores. From the given information, X follows normal distribution with mean…

Q: Adult Golden Retrievers have a mean weight of 64 pounds with a standard deviation of 8 pounds. If…

A: In this scenario, it is known that the  mean weight is 64 pounds with a corresponding standard…

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

A:

Q: The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…

A:

Q: Use a formula to find the standard deviation of the sample 1, 4, 5, 6.

A: We have given that,  The data set of the sample is,  1, 4, 5, 6 Then,  We will find the standard…

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

A: From the given information, the standardized exam’s scores are normally distributed with mean is…

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

A:

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

A: GivenMean(μ)=1457standard deviation(σ)=315

Q: During a wisdom teeth removal procedure, 1, 2, 3, or 4 wisdom teeth are removed, depending on the…

A: We have to find mean and sd.

Q: Suppose the average age of a Tulane undergraduate is 20 years with a standard deviation of 1.2…

A:

Q: A racing car consumes a mean of 103 gallons of gas per race with a variance of 36. If 38 racing…

A: The probability of the sample mean would be greater than 101.5 gallons is 0.9382 and it is obtained…

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

A: We have, X= A standardized​ exam's scores the mean test score was 1549 and the standard deviation…