### Educational Content on Statistical Concepts#### Problem Set**7. Normal Curve and Percentiles**- Among freshmen at a certain university, scores on the Math SAT followed a normal curve, with an average of 550 and a standard deviation (SD) of 100. Fill in the blanks: - (a) A student who scored 400 on the Math SAT was at the ____th percentile of the score distribution. - (b) To be at the 75th percentile of the distribution, a student needed a score of about ____ points on the Math SAT.**8. True or False, and Explain Briefly**- (a) If you add 7 to each entry on a list, that adds 7 to the average.- (b) If you add 7 to each entry on a list, that adds 7 to the SD.- (c) If you double each entry on a list, that doubles the average.- (d) If you double each entry on a list, that doubles the SD.- (e) If you change the sign of each entry on a list, that changes the sign of the average.- (f) If you change the sign of each entry on a list, that changes the sign of the SD.**9. True or False:**Which of the following are true/false? Explain or give examples.- (a) The median and the average of any list are always close together.This problem set aims to test and expand your understanding of fundamental statistical concepts such as percentiles, averages, standard deviations, and the effects of arithmetic operations on these measurements. Consider each statement and determine the truthfulness based on your understanding and knowledge of statistical properties.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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I need help explaining parts a and b.
A sample of 900 computer chips revealed that 68% of the chips fell in the first 1000 hours of their use. The companies promotional literature states that 67% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is different from the stated percentage. Find the value of the test statistic. Round your answer to two decimals.
When you are done, click here to see a summary of your score Question with last attempt is displayed for your review only In a certain school district, it was observed that 29% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 130 out of 373 students are only children. The school district administrators want to know if the proportion of only children in the special program Is significantly different from the proportion for the school district. Test at the a 0.05 level of significance. What is the hypothesized population proportion for this test? P=0.34 (Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.) Based on the statement of this problem, how many tails would this hypothesis test have? one-tailed test two-tailed test Choose the correct pair of hypotheses for this situation: (A) (C) Ho p 0.29 0.29 (В) Но:P 0.29 Ho: p 0.29 H: p 0.29 (D)…
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A runner states that his average time for running a mile is 6.5 minutes. Given the following times from 8 recent mile runs, test the claim that his actual average is not what he states it to be at the a = 0.05 level of significance. 6.25 6.6 6.8 7.2 6.3 7.0 6.5 6.75
You want to conduct a study on the proportion of Penn State students who miss class when it is raining. Suppose here is the data you collect for students who live on-campus versus students who live off-campus: Never Miss Sometimes Miss Always Miss On-Campus 20 12 13 Off-Campus 45 14 22 a. For on-campus students (only), estimate the true difference in proportions for those who never miss class versus those who always miss class, when it is raining. Place a bound on the error of estimation. b. Estimate the true difference between the proportions of on-campus students who always miss class versus the proportion of off-campus students who always miss class, when it is raining. Place a bound on the error of estimation.
If a person’s z-score equalas 2.08, what is their percentile? Thank you.
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Can you solve for the p-value and is H0 rejected or not rejected?
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The first pic is the question, since I’ve been receiving some incorrect answers from the tutors, I included an example problem in the second pic.

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7. Among freshmen at a certain university, scores on the Math SAT followed the normal curve, with an average of 550 and an SD of 100. Fill in the blanks; explain briefly. (a) A student who scored 400 on the Math SAT was at the th pe