The most common intelligence quotient (IQ) scale is Normally distributed with a mean of \\( 100 \\) and a standard deviation of \\( 15 . \\) Many school districts across the country seek to identify "gifted and talented" children for special enrichment programs. Typically, these children must have IQ scores in the top \\( 5 \\)%. What is the minimum score to qualify a child for these programs?

The most common intelligence quotient (IQ) scale is Normally distributed with a mean of \\( 100 \\) and a standard deviation of \\( 15 . \\) Many school districts across the country seek to identify "gifted and talented" children for special enrichment programs. Typically, these children must have IQ scores in the top \\( 5 \\)%. What is the minimum score to qualify a child for these programs?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 7PPS

See similar textbooks

Similar questions

A person’s IQ must be in the upper 2% of the population to be considered into the Honor Society. If the mean score is 100 and the standard deviation is 15, what score must a person have to qualify for the Honor Society?
In order to be accepted into a certain top university, applicants must score within the top 5% on the SAT exam. Given that the exam has a mean of 1000 and a standard deviation of 200, what is the lowest possible score a student needs to qualify for acceptance into the university?
The mean and standard deviation for the quality grade point averages of a random sample of 28 senior high school students are calculated to be 2.6 and 0.3 respectively. The point estimate for the mean is
According to a report published by the USDA 3 years ago, a typical American consumes an average of 26 pounds of ice cream per year. A researcher at the USDA would like to determine if the average amount of ice cream consumed each year by a typical American has changed since the original report was published. The researcher collected data from a random sample of 65 Americans and found that the mean amount of ice cream consumed each year by the sample was 25.54 pounds with a standard deviation of 1.64 pounds. Using α=0.02, test the hypothesis that the mean amount of ice cream consumed each year by a typical American is different than 26 pounds. Use the p-value method. State the null and alternative hypothesis for this test. H0= H1= Determine the test statistic for the hypothesis test. Round the solution to four decimal places. =
Loretta, who turns eighty this year, has just learned about blood pressure problems in the elderly and is interested in how her blood pressure compares to those of her peers. Specifically, she is interested in her systolic blood pressure, which can be problematic among the elderly. She has uncovered an article in a scientific journal that reports that the mean systolic blood pressure measurement for women over seventy-five is 134.7 mmHg, with a standard deviation of 5.7mmHg. Assume that the article reported correct information. Complete the following statements about the distribution of systolic blood pressure measurements for women over seventy-five. According to Chebyshev's theorem, at least /89 (about 89%) of the measurements lie between mmHg and mmHg. (Round your answer to 1 decimal place.)
Loretta, who turns eighty this year, has just learned about blood pressure problems in the elderly and is interested in how her blood pressure compares to those of her peers. Specifically, she is interested in her systolic blood pressure, which can be problematic among the elderly. She has uncovered an article in a scientific journal that reports that the mean systolic blood pressure measurement for women over seventy-five is 133.7 mmHg, with a standard deviation of 6.9 mmHg. Assume that the article reported correct information. Complete the following statements about the distribution of systolic blood pressure measurements for women over seventy-five. a. According to Chebyshev's theorem, at least 36% of the measurements lie between _? mmHg and _?mmHg. (Round your answer to 1 decimal place.) b. According to Chebyshev's theorem, at least _?% of the measurements lie between 119.9 mmHg and 147.5 mmHg.
Loretta, who turns eighty this year, has just learned about blood pressure problems in the elderly and is interested in how her blood pressure compares to those of her peers. Specifically, she is interested in her systolic blood pressure, which can be problematic among the elderly. She has uncovered an article in a scientific journal that reports that the mean systolic blood pressure measurement for women over seventy-five is 134.1mmHg, with a standard deviation of 5.9 mmHg. Assume that the article reported correct information. Complete the following statements about the distribution of systolic blood pressure measurements for women over seventy-five. (a)According to Chebyshev's theorem, at least ________% of the measurements lie between 122.3 mmHg and 145.9 mmHg. (b)According to Chebyshev's theorem, at least 56% of the measurements lie between __________ mmHg and mmHg. (Round your answer to 1 decimal place.)
Loretta, who turns eighty this year, has just learned about blood pressure problems in the elderly and is interested in how her blood pressure compares to those of her peers. Specifically, she is interested in her systolic blood pressure, which can be problematic among the elderly. She has uncovered an article in a scientific journal that reports that the mean systolic blood pressure measurement for women over seventy-five is 132.6 mmHg , with a standard deviation of 6.9 mmHg . Assume that the article reported correct information. Complete the following statements about the distribution of systolic blood pressure measurements for women over seventy-five. (a)According to Chebyshev's theorem, at least 56% of the measurements lie between mmHgandmmHg. (Round your answer to 1 decimal place.) (b)According to Chebyshev's theorem, at least ▼(Choose one) of the measurements lie between 118.8 mmHg and 146.4 mmHg .
The sample mean weight of 100 chimpanzees was measured to be 82.4 pounds, with a standard deviation of 12.6 pounds. Using a 1% level of significance, what could we claim about the population mean weight for all chimpanzees so that it will fail to be rejected?
a highly selective boarding school will only admit students who place at least 1.5 standard deviations above the mean on a standardized test that has a mean of 200 and a standard deviation of 26 what is the minimum score that an applicant must make on the test to be accepted?
Suppose the scores of students on an exam are normally distributed with a mean of 337 and a standard deviation of 95. According to the empirical rule, what percentage of students scored between 147 and 527 on the exam
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1478 and a standard deviation of 292. The local college includes a minimum score of 689.6 in its admission requirements.What percentage of students from this school earn scores that satisfy the admission requirement?