Question

Answer question (c) the p-value

A college entrance exam company determined that a score of 25 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 150 students who completed this core set of courses results in a mean math score of 25.4 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 25 on the math portion of the exam? Complete parts a through d below. test statistic is to Because the rest bct the null hypoth A. Yes, the sample size is larger than 30 OB. No, neither of these conditions are true. O C. Yes, the population is normally distributed OD. It is impossible to determine using the given information. Are the sampled values independent of each other? A Yes, because each student's test score does not affect other students' test scores OB. No, because students from the same class will affect each other's performance. OC. No, because every student takes the same test. OD Yes, because the students each take their own tests. c) Use the P-value approach at the 0.05 level of significance to test the hypotheses. P.value (Round to three decimal places as needed.)

Answer 1

Sample size = n = 150

Sample mean = $\bar{x}$ = 25.4

Standard deviation = s = 3.3

Population mean = $\mu$ = 25

c)

P-value = P(T > t)

Here population standard deviation is unknown so we have to use t-test statistic.

The test statistic is

エー

0.4 25.4 - 25 3.3 150 0.2694 =1.48 0.26

Degrees of freedom = n - 1 = 150 - 1 = 149

P-value = P(T > t) = 0.070