A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 192.2-cm and a standard deviation of 2.5-cm. Find P14, which is the length separating the shortest 14% rods from the longest 86%. P14 = -cm

Q: In a multiple-choice examination in Chemistry, students Mae and Julie received scores of 82 and 65,…

A: We have given that.   X~N( μ , ?^2 )   μ = , ? =   Z-score =( x - μ )/?

Q: 1) Which sample will have the larger mean number of books read? 2) Which sample will have the larger…

A: The given histogram is:

Q: a successful basketball player has a height of 6 feet 9 inches, or 206 cm. Based on statistics from…

A: Given,           Z -score=4.45           A basket ball player has a height of  6 feet 9…

Q: Assume the average (mean) number of minutes a group of people meditate is 20 minute per day and has…

A: Solution: Let X :  A group of people mediate.  Assumed X be the normal distribution with mean 20…

Q: Find the number of boys and the combined standard deviation

A: Given :  Our aim is to find the number of boys and combined standard deviation.

Q: On a math exam, Joel had a score o 90, which was exactly 2 standard deviations above the mean. The…

A: Since, we only do up to three sub parts of a problem, we'll be doing the first three sub parts only.…

Q: a history class has 75 members. if there is a 12% absentee rate per class meeting, find the mean and…

A:

Q: 95% of 80 freshman history students scored between 70% and 80% on a take home quiz. If this data is…

A: Given,  n=80 α= (1-0.95) =0.05 Let X denote the score of freshmen. As per t-distribution table, the…

Q: The We Go Farther Tire Company advertises a tire that lasts for 80,000 miles. The mileage for the…

A:

Q: A successful basketball player has a height of 6 feet 2 ​inches, or 188 cm. Based on statistics from…

A: Given the Z score of height of basket ball player is 1.95. The original height of the basket ball…

Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: Twenty-five percent of commercial airline accidents are caused by bad weather. If 300 commercial…

A: The mean of the binomial random variable obtained by the formula μ=np, where (n) is the number of…

Q: The length of a fully grown hibiscus plant is normally distributed and has a mean of 35cm. It is…

A:

Q: A data set has a mean of 60.4 and a standard deviation of 5.2    Is a value of 45 unusual? Is a…

A: From the provided information, Mean (µ) = 60.4 Standard deviation (σ) = 5.2 X~N (60.4, 5.2)

Q: Find the variance and standard deviation of the data

A: Given data, x=5,6,8,9,10,11,14   The sample mean is

Q: The time spent by a teacher at work in the holidays is normally distributed with a mean of 20 hours…

A: Given: Mean = 20 Standard deviation = 5

Q: A tire company finds the lifespan for one brand of its tires is normally distributed with a mean of…

A: GivenMean(μ)=48200standard deviation(σ)=5000

Q: Convert score 46 to z-score if the mean is 40 and the standard deviation is 4.

A: The definition of a z-score is:   z = (X - μ) / σ

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: mean=145.2cm S.D=2.2cm

Q: A history class has 75 members. If there is a 12% absentee rate per class meeting, find the mean,…

A: It is given that n is 75 and p is 0.12.

Q: A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from…

A:

Q: 95% of 80 night students scored between 70% and 80% on a quiz. If this data is normally distributed,…

A: Given: Total number of students n=80.             let X  denote the marks of students then,  X ~N(µ,…

Q: Given a distribution with a mean of 70 and a standard deviation of 62, find a value with a z-score…

A:

Q: Steel rods are manufactured with a mean length of 27 centimeter​ (cm). Because of variability in the…

A: Given,mean(μ)=27standard deviation(σ)=0.06

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 268 days…

A: 1. Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Jeffrey, as an eight-year-old, established a mean time of 16.43 seconds for swimming the 25-yard…

A: Given n=15 x=16σ=0.8μ=16.43α=0.05

Q: Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly…

A: Given Population mean μ=137, population standard deviations σ=69, Let X be the rain in Sydney Note:…

Q: Find the standard deviation for the grouped data.

A: Solution; Interval Frequency (f) midpoint(x) fx (x-x)2 f*(x-x)2 50-59 7 54.5 381.5 351.5625…

Q: Soum that the red blood cell counts of women are normally distributed with a mean of 4.577 million…

A: Solution: Let X be the red blood cell counts of women. From the given information, X follows normal…

Q: A professor at a local university noted that the exam grades of her students were normally…

A: Given,mean(μ)=73standard deviation(σ)=11

Q: when designing aircraft cabins, what ceiling height will alow 98% of men to stand without bumping…

A:

Q: For a random sample of 10 men, the mean head circumference is x-bar= 57.3 cm and the sample standard…

A:

Q: A bookstore found out that 23 percent of their customers buy a book, 34 percent of their customers…

A:

Q: A manager is interested in finding the average number of sales per day at a sporting goods store. If…

A: Obtain the sample size. The sample size is obtained below as follows: The formula of sample size is,…

Q: The heights of women have a symmetric distribution with a mean of 66 inches and a standard deviation…

A: Given dataMean = 66 inchesStandard deviation =2.5 inchesApplying empirical formula68% of data falls…

Q: In a recent survey, 80% of the community favored building a police substation in their neighborhood.…

A:

Q: A class has an equal number of boys and girls. The boys all got 78% on a test and the girls all got…

A: From the provided information, Boys got 78% on a test and girls got 84%. Let n = number of girls =…

Q: According to a study, the salaries of registered nurse are normally distributed with a mean of 56310…

A: Given,mean(μ)=56310standard deviation(σ)=5038

Q: In a recent survey,80% of the community favored building a health center in their neighborhood.…

A: Obtain the standard deviation of the numbers favorite the health center.   The standard deviation of…

Q: A small grocery store, on average, has daily sales of Php28, 176.44. The standard deviation of sales…

A: Solution: Let X be the daily sales. From the given information, µ = Php 28,176.44 and σ = Php 1500.

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Let X be the length of the rods. Here, X is normally distributed with mean, μ=114.5 cm and standard…

Q: A successful basketball player has a height of 6 feet 77​inches, or 201201 cm. Based on statistics…

A: Given information- Height of a player = 201 cm Z-score = 3.743 We know that standard height is given…

Q: A biologist found the wingspans of a group of monarch butterflies to be normally distributed, with a…

A: Given,Mean (μ) = 52.2Standard deviation (σ) = 2.3a) Required probability is…

Q: 4. The variance of a data set is 3410.56. Find the standard deviation for the data set.

A:

Q: Find the median and the standard deviation of the scaled marks of all the students.

A: According to the answering guidelines,  we can answer only one question and the rest can be…

Q: A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics…

A:

Q: The time is takes a studen to walk from the dorn to the chemistry lab follows roughly a Normal…

A: Mean(µ) = 20 Standard deviations (σ) = 3 X ~ N (µ, σ )= N ( 20, 3)

Q: Find the variance and standard deviation

A: For n number of observations on a variable X such that x1, x2, ........ , xn , the mean and variance…

Q: A fitness instructor at a large gym would like to know if the individuals that take fitness classes…

A: Morning steps mean should be greater than Evening

Q: Use z scores to compare the given values.   The tallest living man at one time had a height of 245…

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