● Question 19A study was conducted on students from a particular high school over the last 8 years. The followinginformation was found regarding standardized tests used for college admitance, Scores on the SATtest are normally distributed with a mean of 1004 and a standard deviation of 199. Scores on theACT test are normally distributed with a mean of 19.7 and a standard deviation of 5. It is assumedthat the two tests measure the same aptitude, but use different scales.If a student gets an SAT score that is the 36-percentile, find the actual SAT score.SAT score=Round answer to a whole number.What would be the equivalent ACT score for this student?ACT score =Round answer to 1 decimal place.If a student gets an SAT score of 1482, find the equivalent ACT score.ACT ScoreRound answer to 1 decimal place.

Let X be the student gets an SAT score which follows normal distribution with mean 1004 and standard…

Answered: A study was conducted on students from…

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...

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The points scored by teams in the first round of the Statistics Games have a mean of 135 points and a standard deviation of 27 points. A random sample of 36 teams is taken. What is the mean and standard deviation of the sampling distribution of sample means? A The mean is 22.5, and the standard deviation is 4.5. B. The mean is 22.5, and the standard deviation is 27. C. The mean is 135, and the standard deviation is 4.5. D. The mean is 135, and the standard deviation is 27.
The following data represents the number of blogs that a sample of students state they follow. 12, 3, 10, 9, 0, 1, 8, 7, 3, 10, 19 Calculate the standard deviation.
The scores of individual students on the American College Testing (ACT), a college readiness assessment, have a Normal distribution with a mean of 18.6 and a standard deviation of 6.0. At Northside High, 36 seniors take the test. Assume the scores at this school have the same distribution as national scores. What is the mean of the sampling distribution of the sample mean score for a random sample of 36 students? 0 1 0 6
Is it worth pursuing a doctoral degree in education if you already have an undergraduate degree? One way to help make this decision is to look at the mean incomes of these two groups. Suppose that 15 people with bachelor’s degrees in education were surveyed. Their mean annual salary was $⁢31,500 with a standard deviation of $⁢7900. Seventeen people with doctoral degrees in education were found to have a mean annual salary of $⁢47,500 with a standard deviation of $⁢6900. Assume that the population variances are not the same. Construct a 99% confidence interval to estimate the true difference between the mean salaries for people with doctoral degrees and undergraduate degrees in education. Let Population 1 be the salaries for people with doctoral degrees and Population 2 be the salaries for people with undergraduate degrees. Round the endpoints of the interval to the nearest whole number, if necessary.
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The mean annual incomes of certified welders are normally distributed with the mean of $50,000. The ship building association wishes to find out whether their welders earn more or less than $50,000 annually. A study conducted using 100 certified welders showed that their annual income is $50,250 with a sample standard deviation of $1050. What is the test statistic for this test? a. 2.381 b. 1.673 c. 1.367 d. 2.869
The college physical education department offered an advanced first aid course last summer. The scores on the comprehensive final exam were normally distributed, and the z-scores for some of the students are shown below. Robert 1.05 Juan 1.51 Haley −1.95 Joel 0.00 Jan −0.67 Linda 1.57 (a) If the mean score was ? = 151 with standard deviation ? = 16, what was the final exam score for each student?
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A large corporation employs 19185 individuals. The average income of all employees is $70616, with a standard deviation of $19414 and is skewed to the right. Consider this to be the population distribution. You are given a data set consisting of the incomes of 120 randomly selected employees.
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