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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 college entrance exam company determined that a score of

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

21.5

on the college entrance exam with a standard deviation of

3.4.

Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above

on the math portion of the exam? Complete parts a) through d) below.

a) State the appropriate null and alternative hypotheses. Fill in the correct answers below.

The appropriate null and alternative hypotheses are

H0:

muμ

equals=

2121

versus

H1:

muμ

greater than>

2121.

b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply.

The students' test scores were independent of one another.

Your answer is correct.

The students were randomly sampled.

Your answer is correct.

The sample size is larger than 30.

Your answer is correct.

None of the requirements are satisfied.

c) Use the P-value approach at the

α=0.05

level of significance to test the hypotheses in part (a).

Identify the test statistic.

nothing

(Round to two decimal places as needed.)

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