AMAA 8CRef Clalms thất she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with p=511 The tacherobtains a random sample of 2000 students, puts them through the review class, and finds that the mean math score of the 2000 students is 519 with a standard deviation of 117. Complete parts (a) through (d) belowYes, because every increase in score is practically significantO No, because the score became only 1.57% greater.(d) Test the hypothesis at the a =0.10 level of significance with n= 350 students. Assume that the sample mean is still 519 and the sample standard deviation is still 117. Is a sample mean of 519 significantly more than 511? Conduct a hypothesis test usingthe P-value approachFind the test statistic.(Round to two decimal places as needed.)Find the P-valueThe P-value is(Round to three decimal places as needed.)Is the sample mean statistically significantly higher?O YesO NaWhat do you conclude about the impact of large samples on the P-value?O A. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences.O B. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences.OC. As n increases, the likelihood of rejecting the null hypothesis increases However, large samples tend to overemphasize practically insignificant differencesO D. As n increases, the likelihood of rejecting the null hypothesis increases However, large samples tend to overemphasize practically significant differences A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with p=511. The teacherobtains a random sample of 2000 students, puts them through the review class, and finds that the mean math score of the 2000 students is 519 with a standard deviation of 117. Complete parts (a) through (d) below.(a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below.O A. Ho =511, H, >511OB. Ho H<511, H,i>511OC. Ho u>511, H, u511OD. Ho =511, H, u511(b) Test the hypothesis at the a=0.10 level of significance. Is a mean math score of 519 statistically significantly higher than 511? Conduct a hypothesis test using the P-value approach.Find the test statistic(Round to two decimal places as needed)Find the P-valueThe P-value is(Round to three decimal places as needed)Is the sample mean statistically significantly higher?O YesO No(c) Do you think that a mean math score of 519 versus 511 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance?

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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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A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1482 and the standard deviation was 315. The test scores of four students selected at random are 1910, 1200, 2210, and 1390. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1910 is (Round to two decimal places as needed.)
In a large section of a statistics class, the points for the final exam are normally distributed, with a mean of 69 and a standard deviation of 8. Grades are assigned such that the top 10% receive A's, the next 20% received B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D. The lowest score that would qualify a student for an A is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a B is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a C is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a D is nothing. (Round up to the nearest integer as needed.)
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A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with u = 520. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 525 with a standard deviation of 110. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below. O A. Ho: H= 520, H,: µ> 520 %3D B. Ho: μ 520 С. Но: и> 520, Hа: p#520 D. Ho: и%3D520, Hа: p#520 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 525 statistically significantly higher than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = %3D
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