A traffic study of 1,600 vehicles that passed by a checkpoint showed that their speeds were normally distributed with a mean of 97.6 kph and a standard deviation of 10.4 kph. How many vehicles had a speed of more than 100 kph? Solution:

Q: At the shot put event the mean was a throw of 44.22 feet, with a standard deviation of 3.65 feet.…

A:

Q: The trunk diameter, in centimeters,  of a certain variety of pine tree is represented by X~N(150,…

A: Let X denote the trunk diameter in centimetres of a certain variety of pine tree and it follows…

Q: the average height of grade 10 students is 148 cm. a sample of 250 students had an average heigh of…

A: Given: μ=148Sample size, n=250sample mean, x¯=148.3sample sd, s=8

Q: For a population with a standard deviation of 40, how large a sample is necessary to have a standard…

A: We want to find the sample size

Q: A standard I.Q. test produces normally distributec 13 with a mean of 104 and a standard deviation of…

A:

Q: The heights of 100 male students are normally distributed with a mean height of 165 centimeters and…

A: Given data: Sample size = 100 Population mean = 165 Population standard deviation = 5.9

Q: A survey of 1000 men ages 20 to 30 found that their heights were normally distributed, with a mean…

A: Solution: Let X be the height of men ages 20 to 30. From the given information, X follows normal…

Q: Based on a sample of 25 people, the sample mean GPA was 2.05 with a standard deviation of 0.07 The…

A:

Q: Statewide, the average score on the verbal test portion of the college exam is 453, with a standard…

A: From the given information, the sample size is 137, sample mean is 502, population mean is 453 and…

Q: The grades on a midterm were Normally distributed with a mean of 120 and a standard deviation of 17.…

A: GivenMean(μ)=120standard deviation(σ)=17

Q: On a standardized exam, the scores are normally distributed with a mean of 300 and a standard…

A:

Q: John beale of stanford, ca, recorded the speeds of car driving past his house, where the speed limit…

A: Standardized z-score:   The standardized z-score represents the number of standard deviations the…

Q: The weights of 1,000 children average 50kg and the standard deviation is 5kg. How many children…

A: Given  mu=50, sigma=sd=5, n=1000 We want to find How many children weigh between 40kg and 55 kg?

Q: A certain machine makes electrical resistors having a mean resistance of 50 ohms and a standard…

A: Let, X= resistance Given that X follows a normal distribution with mean=50 and standard deviation=4…

Q: The students in an AFDA class have a mean height of 66 inches and a standard deviation of 7 inches.…

A: Mean(µ) = 66Standard deviations (σ) = 7

Q: A set of data items is normally distributed with a mean of 80 and a standard deviation of 9 .…

A: Given A set of data is normally distributed with mean of 80 and standard deviation of 9 and x=71.so,…

Q: The installation of a radon abatement device is recommended in any home where the mean radon…

A: a)   Given that the radon abatement device is recommended in any home if the mean radon…

Q: In a mango farm of 250 trees, the mean harvest is 96.5 kilos of fruit per tree with a standard…

A: Given,sample size(n)=250mean(μ)=96.5standard deviation(σ)=8.4

Q: The diameters of watermelons at a local supermarket are normally distributed with a mean of 10…

A: Let X denote diameters of watermelons at a local supermarket. Given that X follows Normal(mean = 10,…

Q: For a mean of 70 and a standard deviation of 8, find standardized score for a value of 80. O - 1.25…

A: From the provided information, Mean (µ) = 70 Standard deviation (σ) = 8

Q: The mean height of Grade 11 students at a certain University is 150 cm and the standard deviation is…

A: Given that: Mean height: μ=150 cm Standard deviation: σ=12 cm Number of students: n=11 a. greater…

Q: In an exam for a statistics class, the class average is 68 with a standard deviation 4. If a student…

A: Given mean μ= 68, standard deviation σ= 4 Let X: score of the students = 75

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: On a standardized exam, the scores are normally distributed with a mean of 650 and a standard…

A:

Q: The heights of American men are normally distributed with a mean of 65.3 inches and a standard…

A: We have given that  Mean(µ) = 65.3Standard deviations (σ) = 2.6X ~ N (µ, σ )= N(65.3, 2.6) z-score…

Q: A livestock company reports that the mean weight of a group of young steers is 1106 pounds with a…

A:

Q: A population has a standard deviation of 18 on average how much difference should exist for a random…

A: From the provided information, Population standard deviation (σ) = 18 Sample size (n) = 36

Q: Given a scenario where n=100 and p=0.8, find the standard deviation.

A: In this case the sample size is n = 100 and p = 0.8.

Q: The birth weights for twins are normally distributed with a mean of 2353 grams and a standard…

A: Given that, Mean = 2353Standard deviation = 647

Q: Given a distribution with a mean of 117 and standard deviation of 42, find a value with a z-score of…

A: Consider that X is a random variable and the given distribution follows normal distribution mean 117…

Q: A population has a standard deviation of 18 on average how much difference should exist for a random…

A: A population has a standard deviation of 18.

Q: On a construction site, the amount of dirt scooped by a forklift machine is normally distributed…

A:

Q: "The weights of 1,000 children, in average, is 46kg with standard deviation of 11kg. Suppose the…

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

Q: Given that the mean weight of senior high school students is 65kg with a standard deviation of 10.…

A: Given information Population mean µ = 65 kg Standard deviation σ = 10 We have to determine the…

Q: On an exam, Tom scored 8 points above the mean and had a z-score of +2.00. The standard deviation…

A: Given: z-score=2 Score above the mean=8

Q: A set of data items is normally distributed with a mean of 40 and a standard deviation of 8. Convert…

A: Given:  Random variable x follow normal distribution with mean mu=40 ,sd=8  Then z score:…

Q: A given distribution has a population mean, μ, of 106 and a population standard deviation, σ, of 11.…

A: Mean = 106 Standard deviation = 11 Raw score = 104

Q: A given set of data has a specific standard deviation. Describe what will happen to the standard…

A: Answer: The standard deviation of new data is remains same as original data. As a general rule, the…

Q: In a study where scientists wanted to compare two different techniques for measuring the amount of k…

A: From the given information, the claim of the problem is the true average difference between the…

Q: The results of a calculus exam are normally distributed with a mean of 76 and a standard deviation…

A:

Q: A person in the U.S. eats about 25 pounds of M&M's per year with a standard deviation of 3 pounds.…

A: Solution: Given  μ= 25 Pounds  Population meanσ= 3 Pounds Population standard deviations Assumed…

Q: On a standardized exam, the scores are normally distributed with a mean of 450 and a standard…

A:

Q: The mean score of a competency test is​ 82, with a standard deviation of 2. Between what two values…

A: Given that : Mean (u) = 82 S. D. (sgma ) = 2 Assume data set is nell shapped i.e  standard normal.

Q: John beale of stanford, ca, recorded the speeds of car driving past his house, where the speed limit…

A: Given: μ=23.84σ=3.56 a) The Z score is obtained as below: z=x-μσ=20-23.843.56=-3.843.56=-1.08 Thus,…

Q: A person in the U.S. eats about 25 pounds of M&M's per year with a standard deviation of 3 pounds.…

A: Assume that a person in the U.S. eats of M&M's per year follow normal distribution. μ=25σ=3 Let…

Q: m and 5.50 m. What is the standard deviation

A: Introduction: The Standard Deviation in descriptive statistics is the degree of dispersion or…

Q: Q2) A certain machine makes electrical resistors having a mean resistance of 60 ohms and a standard…

A: Given information: μ=60, σ=2

Q: A mean of 200 and a standard deviation of 50. Find P60, the score which separates the lower 60% form…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.