MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A college entrance exam company determined that a score of 20 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 20.5 on the college entrance exam with a standard deviation of 3.3. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 20 on the math portion of the exam? Complete parts a) through d) below. a) State the appropriate null and alternative hypotheses.
Transcribed Image Text:O C. Yes, the population is normally distributed.
O D. It is impossible to determine using the given information.
Are the sampled values independent of each other?
O A. No, because students from the same class will affect each other's performance.
B. Yes, because each student's test score does not affect other students' test scores.
O C. Yes, because the students each take their own tests.
O D. No, because every student takes the same test.
c) Use the P-value approach at the a= 0.10 level of significance to test the hypotheses.
P-value =
(Round to three decimal places as needed.)
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- Given Information :
A college entrance exam company determined that a score of 20 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 20.5 on the college entrance exam with a standard deviation of 3.3.
Null and Alternative Hypotheses
The following null and alternative hypotheses need to be tested:
Ho: Average score on the mathematics portion of the exam is equal to 20 .
=
Ha: Average score on the mathematics portion of the exam is above 20 .
>
This corresponds to a right-tailed test, for which a t-test for one mean, with unknown population standard deviation will be used.
For a t-test for one mean, the sampling distribution used for the t-test statistic (which is the distribution of the test statistic under the assumption that the null hypothesis is true) corresponds to the t-distribution, with n-1 degrees of freedom
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