A company determined that a score of 24 on the mathematics portion of the test s

Question

A company determined that a score of 24 on the mathematics portion of the test 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 24.3 on the college entrance test 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 24 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: mu x overbarx equals= greater than> less than or equals less than< greater than or equals nothing versus H1: x overbarx mu greater than or equals less than or equals equals= less than< greater than> nothing. 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 size is larger than 30. C. The students' test scores were independent of one another. D. None of the requirements are satisfied. c) Use the P-value approach at the alphaequals=0.100.10 level of significance to test the hypotheses in part (a). Identify the test statistic. t 0t0 equals= nothing (Round to two decimal places as needed.) Identify the P-value. P-valueequals= nothing (Round to three decimal places as needed.) d) Write a conclusion based on the results. Choose the correct answer below. Do not reject Reject the null hypothesis and claim that there is is not sufficient evidence to conclude that the population mean is greater less than 24.

Explanation / Answer

a)
the appropriate null and alternative hypotheses
H0: mu <= 24
H1: mu > 24

b)
A. The students were randomly sampled.
B. The sample size is larger than 30.
C. The students' test scores were independent of one another.

c)
test statistics, t = (24.3 - 24)/(3.3/sqrt(250)) = 1.4374

p-value = 0.0753

Do not reject the null hypothesis

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