The mean SAT score in mathematics,
μ
, is
559
. The standard deviation of these scores is
39
. A special preparation course claims that its graduates willscore higher, on average, than the mean score
559
. A random sample of
50
students completed the course, and their mean SAT score inmathematics was
561
. At the
0.05
level of significance, can we conclude that the preparationcourse does what it claims? Assume that the standard deviation ofthe scores of course graduates is also
39
.
Perform a one-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimalplaces, and round your responses as specified in the table. (Ifnecessary, consult a list of formulas.)
The null hypothesis: | H0: | The alternative hypothesis: | H1: | The type of test statistic: | | | | | | | | 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 graduatesscore higher in SAT? | Yes | No | |
| |
