Question

A college entrance exam company determined that a score of 2424 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 150150 students who completed this core set of courses results in a mean math score of 24.624.6 on the college entrance exam with a standard deviation of 3.43.4. Do these results suggest that students who complete the core curriculum are ready for​ college-level mathematics? That​ is, are they scoring above 2424 on the math portion of the​ exam? Complete parts​ a) through​ d) below

Answer 1

Solution :

= 24

=24.6

S =3.4

n = 150

a ) This is the right tailed test .

The null and alternative hypothesis is ,

H0 :    = 24

Ha : > 24

b ) The students were randomly sampled.

c ) Test statistic = t

= ( - ) / S / n

= (24.6-24) / 3.4 / 150

= 2.1614

Test statistic = t = 2.1614

P-value =0.0161

= 0.05  

P-value <

0.0161 < 0.05

d ) Reject the null hypothesis .

There is sufficient evidence to conlude that the population mean is above 24

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