college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggeststhat a student is ready for college-level mathematics. To achieve this goal, the company recommends that studentstake a core curriculum of math courses in high school. Suppose a random sample of 250 students who completedthis core set of courses results in a mean math score of 24.4 on the college entrance exam with a standard deviationof 3.1. Do these results suggest that students who complete the core curriculum are ready for college-levelmathematics? That is, are they scoring above 24 on the mathematics portion of the exam? Complete parts a)through d) below.The appropriate null and alternative hypotheses are Ho24 versus H₁: " >24b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply.A. The students were randomly sampled.B. The sample data come from a population that is approximately normal.LC. The students' test scores were independent of one another.D. The sample size is larger than 30.E. A boxplot of the sample data shows no outliers.F. None of the requirements are satisfied.c) Use the P-value approach at the a=0.10 level of significance to test the hypotheses in part (a).Identify the test statisticto = (Round to two decimal places as needed.)CLFIL

Given, X ¯=24.4s=3.1n=250μ=24α=0.10 The null and alternative hypothesis are H0:μ=24H1:μ>24 this…

A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 250 students who completed this core set of courses results in a mean math score of 24.4 on the college entrance exam with a standard deviation of 3.1. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 24 on the mathematics portion of the exam? Complete parts a) through d) below. TILB The appropriate null and alternative hypotheses are Ho: = 24 versus H₁: P > 24 b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply. A. The students were randomly sampled B. The sample data come from a population that is approximately normal. C. The students' test scores were independent of one another. D. The sample size is larger than 30. E. A boxplot of the sample data shows no outliers. F. None of the requirements are satisfied. c) Use the P-value approach at the a= 0.10 level of significance to test the hypotheses in part (a). Identify the test statistic. to = (Round to two decimal places as needed.)

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 7PPS