Question

The mean SAT score in mathematics, μ, is 551. The standard deviation of these scores is 33, A special preparation course claims that its graduates will score higher, on average, than the mean score 551. A random sample of 43 students completed the course, and their mean SAT score in mathematics was 556 Assume that the population is normally distributed. 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 33 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. (If necessary, consult a list of formulas.) The null hypothesis: The alternative hy The type of test statistic: l (Choose one) # The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) Can we support the preparation course's claim that its graduates score higher in SAT? Yes No

Answer 1

Here, we apply the test for population mean using the z test statistic .

z = ($\hat{x}$ - $\mu$)/$\sigma$/$\sqrt{n}$

given $\hat{x}$ = 556 ,  $\mu$ = 551   $\sigma$= 33 n= 43