In a study of environmental lead exposure and IQ, the data was collected from 148 children in Boston, Massachusetts. Their IQ score an age 10 approximately follow a normal distribution with a mean of 115.9 and standard deviation of 14.2. Suppose one child had an IQ of 74. A) Calculate the lower fence for the IQ data, which is the lower limit value that the IQ score can be without being considered an outlier. B) Then, calculate the probability of obtaining an IQ score value of 74 or less.

In a study of environmental lead exposure and IQ, the data was collected from 148 children in Boston, Massachusetts. Their IQ score an age 10 approximately follow a normal distribution with a mean of 115.9 and standard deviation of 14.2. Suppose one child had an IQ of 74. A) Calculate the lower fence for the IQ data, which is the lower limit value that the IQ score can be without being considered an outlier. B) Then, calculate the probability of obtaining an IQ score value of 74 or less.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Consider a sample with a mean of 500 and a standard deviation of 100. What are the z-scores for the…

A: The mean is 500 and the standard deviation is 100.

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…

Q: The weight of trucks traveling on a particular section of I-475 has a population mean of 15.8 tons…

Q: If a sample has a mean of 150 and a standard deviation of 9, what is the value in the data set that…

A: Given,mean(μ)=150standard deviation(σ)=9Z-score=1.58

Q: In 1999, the murder rates (per 100000) for the 50 states and the District of Columbia had a mean of…

A: Given mean is 5.9 and standard deviation 6.3 sample size is 5

Q: A federal study showed that 63.8%of occupants involved in a fatal car crash wore seat belts. Ofthose…

A: Define the events: E : Event that the occupant was ejected from the vehicle A: Event that the…

Q: Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest…

A: The standard normal z score formula is the ratio of (X – Mean) to the standard deviation it is given…

Q: Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest…

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

Q: Suppose 18% of movie-goers say that horror is their favorite movie genre. If a random sample of…

A: Obtain the mean number of movie-goers that prefer horror movie genre. The mean number of movie-goers…

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

A: Mean = 243 feet SD = 54 feet Find the value of z to get answers.

Q: In 1999, the murder rates (per 100,000) for the 50 states and the District of Columbia had a mean of…

Q: A final exam in Math150 has a mean of 73 with standard deviation 7.8. If 24 students are randomly…

Q: A survey found that women's heights are normally distributed with a mean62.2in. and standard…

A: It was stated that a survey found that women's heights are normally distributed with a mean62.2in.…

Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a…

A: The mean is 500 and the standard deviation is 100.

Q: A Calculus professor surveys her students to find out how many hours they spend studying each week.…

A: Given, Mean =10.5 Standard deviation = 2.71 Empirical rule: For a normal distribution, the empirical…

Q: A statistics professor announces that 15% of the grades he gives are As. The results of the final…

A: It is given that the mean and standard deviation are 83 and 6, respectively.

Q: In a study of work patterns, data from 669 subjects were collected. For the time spent in child…

A: We have given that, Let X be the random variable from normal distribution with mean (μ) = 23.08,…

Q: Based on Aircraft Safety Council of Country PQR, an average of 18 aircraft accidents occurred each…

A: Given,an average aircraft accidents occurred each year is 18so an average aircraft accidents…

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: What is the raw z-score?

A: Given information Population Mean = mu= 120 Standard deviation = s= 50 Raw score = x =65 Z score = ?

Q: Suppose a population has a mean happiness score of 75 and a standard deviation of 15. Researcher A…

Q: If a sample has a mean of 48 and a standard deviation of 3.2, what is the value in the set that…

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

A: Let, X=the distance of fly balls hit to the outfield (in baseball) Given that X is normally…

Q: A final exam in science 160 has a mean of 73 with a standard deviation of 7.8. If 25 students are…

A: Given information- Population mean, µ = 73 Population standard deviation, σ = 7.8 Sample size, n =…

Q: Consider a data set that has a mean of 18.4 and a standard deviation of 7. According to Chebyshev's…

A: The mean is 18.4 and the standard deviation is 7.

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

Q: Assume that the heights of American men are normally distributed with a mean of 69.1 inches and a…

A: From the given information we find the solution

Q: study indicates that 18- to 24- year olds spend a mean of 115 minutes watching video on their…

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

Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a…

A: normal distributionμ = 500σ = 100P(570<x<640) = ?

Q: Suppose a claim is made that the mean age of members of a golf club is 52 years. The population…

A: Given: μ = 52 σ = 6 n = 50 X = 56 Formula Used: Test-statistic Z = X-μσn

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

Q: The SAT Math scores have a bell-shaped distribution with a Mean of 567 and a Standard Deviation of…

A: We have given that, Let the SAT scores are normally distributed with mean (mu) = 567 and standard…

Q: Suppose the test scores in a class are normally distributed with a mean of 70 and a standard…

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

A: GivenMean =253Standard deviation =45 a)Let X be distribution of distance of fly balls hit to…

Q: (a) Var(X + Y ) = Var(X)+ Var(Y) (b) Ε(XY) - (EX) (EYΥ) (c) E(X + Y ) = EX+ EY

A: Since we answer up to three subparts of a problem, we'll be answering the first three sub parts…

Q: If only the upper 30% of a normally distributed class passed a quiz for which the mean was 70 and…

A: According to the given information in this question we need to find the lowest score a student could…

Q: In its fuel economy economy guide, the EPA gives a variety of data on 2016 model year vehicles. If…

A: Let X denote the highway gas mileage is approximately normally distributed with mean 23.0 mpg and…

Concept explainers

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.

Question

A) Calculate the lower fence for the IQ data, which is the lower limit value that the IQ score can be without being considered an outlier.

B) Then, calculate the probability of obtaining an IQ score value of 74 or less.

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

In a research study, conducted by the National Institute of Health, 25 individuals were sampled measuring their triglyceride levels. If the distribution of triglyceride levels for 25 to 55 year old females has a mean of 211 mg/dl and a standard deviation of 46 mg/dl, what is the probability that our sample mean will be above 240?
Twenty-six percent of all automobiles undergoing an emissions inspection at a certain inspection station fail the inspection. Suppose 20 randomly selected cars are tested. Round all answers three decimal places. 1)Find the mean number of cars which will fail the inspection.2) Find the standard deviation of the number of cars that will fail the inspection.
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 247 feet and a standard deviation of 53 feet. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 192 feet? P(fewer than 192 feet) = % b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 204 feet? P(more than 204 feet) = %
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 245 feet and a standard deviation of 54 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? PP(fewer than 204 feet) = b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? PP(more than 234 feet) =
A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 7.1 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 6.1, 8.1, 9.1, 10.1, 7.1, 11.1, and 12.1 pounds. What is the sample standard deviation?
The mean IQ of 200,000 current and past University of Manitoba students has been found to be 81.9. The standard deviation was found to be 13.1. The student enrollment at the University of Manitoba in 2016 was 29,987. The minimum IQ to be able to graduate from the University of Winnipeg has been found to be 104. Of the 29,987 students at the University of Manitoba in 2016, how many would be expected to be smart enough to graduate from the University of Winnipeg? Assume a Gaussian distribution.
Suppose that on a certain section of I-95, with a posted speed limit of 65 miles per hour, the speeds of all vehicles have a bell-shaped distribution with a mean of 72 mph and a standard deviation of 3 mph. Find the percentage of vehicles with the following speeds on this section of I-95: greater than 75 mph.
A car insurance company has determined that 9% of all drivers were involved in a car accident last year. Among the 10 drivers living on one particular street, 3 were involved in a car accident last year. If 10 drivers are randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year? O a. O b. O C. O d. 0.4435 0.9548 0.0541 0.0452
A study of commuting times reports the travel times to work of a random sample of 1068 employed adults in Chicago. The mean is x = 54.0 minutes and the standard deviation is s = 60.9 minutes. What is the standard error of the mean?
A recent report indicated a typical family spend $650 per month on food. Assume the distribution of food expenditures for a family of five follows a normal distribution, with mean of $650 and standard deviation of $120. A sample of 64 is taken. a) What percentage of the families spends more than $675 per month on food? b) What percentage of the families spends less than $660 per month on food? c) What percentage of the families spends between $660 and $670 per month on food? d) What percentage of the families spends less than $650 or more than $675 per month on
The weight of trucks traveling on a particular section of Highway 2H has a population mean of 15.8 tons and a population standard deviation of 4.2 tons. What is the probability a state highway inspector could select a sample of 51 trucks and find the sample mean to be 14.3 tons or less?