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 µ = 517.The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean math score of the 1800 students is 523 with a standard deviation of 118. Complete parts (a) through (d) below.(a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below.A. H₂ μ<517, H₁: μ>517B. Ho: u>517, Hu#517C. Ho: "=517, H:u>517D. H₁: μ=517, H₁: µ #517(b) Test the hypothesis at the α = 0.10 level of significance. Is a mean math score of 523 statistically significantly higher than 517? Conduct a hypothesis test using the P-value approach.Find the test statistic.to =(Round to two decimal places as needed.)Find the P-value.The P-value is(Round to three decimal places as needed.)Is the sample mean statistically significantly higher?YesNo

Answered: Image /qna-images/answer/532215cd-95a9-4b0b-8c92-a026c8cdd4fd.jpg

Answered: A math teacher claims that she has…

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 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
A notable indicator of a baby's health is the weight gained in the first year of the baby's life. Assume that the population of all such weight gains for baby boys is approximately normally distributed. A study claimed that the mean of this population is 4.93 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of 16 baby boys, and you record the weight each gained in their first year. Follow the steps below to construct a 99% confidence interval for the population mean of all the weight gains for baby boys in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Sample standard Number of baby boys Sample mean deviation Take Sample 16 5.496 1.873 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for…
In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in her class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, she decides to convert the test scores into z-scores relative to the mean and standard deviation of the students in the class. The mean test score in her upcoming class is 49, and the standard deviation is 20.7. The teacher now wants to identify those students who may need extra help. She decides to look at students who have z-scores below z = -2.00 Identify the test score corresponding to a z-score of below z = -2.00. Round to the nearest whole number.
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 µ = 524. The teacher obtains a random sample of 2000 students, puts them through the review class, and finds that the mean math score of the 2000 students is 532 with a standard deviation of 117. Complete parts (a) through (d) below. Find the P-value. The P-value is (Round to three decimal places as needed.) Check answer Clear all Help me solve this View an example Get more help. At a # Type here to search U (?) 4:40 PM 6/18/2022 B 8 96°F Sunny
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 H = 525. 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 530 with a standard deviation of 119. Complete parts (a) through (d) below. C. Yes, because every increase in score is practically significant. D. No, because the score became only 0.95% greater. (d) Test the hypothesis at the a = 0.10 level of significance with n= 400 students. Assume that the sample mean is still 530 and the sample standard deviation is still 119. Is a sample mean of 530 significantly more than 525? Conduct a hypothesis test using the P-value approach. Find the test statistic. to =0 (Round to two decimal places as needed.) %3D Find the P-value. The P-value is (Round to three decimal…
For college-bound seniors in 2018, SAT math scores are normally distributed with a mean of 515 and a standard deviation of 116. You suspect that seniors in the Auraria Campus are much brighter than the country as a whole, so you decide to conduct a test. In a random sample of 25 seniors, you find the mean SAT math score to be 555. You assume that the standard deviation of math scores in Auraria Campus are the same as the national standard deviation of a = 116. Is this sufficient evidence to conclude that Auraria Campus seniors are smarter? Take a -0.05.
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A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1539 and the standard deviation was 315. The test scores of four students selected at random are 1940, 1290, 2240, and 1420. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1940 is. (Round to two decimal places as needed.) The Z-score for 1290 is. (Round to two decimal places as needed.) The Z-score for 2240 is. (Round to two decimal places as needed.) The Z-score for 1420 is. (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The unusual value(s) is/are. CD (Use a comma to separate answers as needed.) OB. None of the values are unusual.
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1458 and the standard deviation was 312. The test scores of four students selected at random are 1860, 1220, 2150, and 1340. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1860 is (Round to two decimal plaes as needed.)
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