Question

The mean SAT score in mathematics, L, IS $12. The standard deviation of these scores is 48. A special preparation course claims that its graduates will score higher, on average, than the mean score 512. A random sample of 70 students completed the course, and their mean SAT score in mathematics was 527. At the 0.05 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also 48. Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. The null hypothesis: The alternative hypothesis: H : The type of test statistics (Choose one) 000000 X 6 ? The value of the test statistics (Round to at least three decimal places.) The p-value: (Round to at least three

last part to the question:
can we support the preparation courses claim that its graduates score is higher in SAT?

Answer 1

The null hypothesis H0: Mean is not greater than 512

The alternative hypothesis H1: Mean is greater than 512

Then use z-test

z=x-Mean/s.d

=2.615

P value

=p(z>2.615)

=0.0045

since P value

=0.0045<0.05

Reject H0

Conclusion: There is sufficient evidence of mean is greater than 512.