The mean SAT score in mathematics, , is 559 The standard deviation ...

The mean SAT score in mathematics, Î¼ , is 559 . The standard deviation of these scores is 39 . A...

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Question

Statistics

The mean SAT score in mathematics,
Î¼
, 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

Answer & Explanation Solved by verified expert

3.6 Ratings (419 Votes)

SolutionGivenClaim Graduates will score higher on average than the meanscore 559Sample size n 50Sample mean Level of significance 005Part 1 The null See Answer

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