The mean SAT score in mathematics, µ, is 539. The standard deviation of these scores is 39. A special preparation course claims that its graduates will score higher, on average, than the mean score 539. A random sample of 80 students completed the course, and their mean SAT score in mathematics was 544. 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 39. 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.)

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The mean SAT score in mathematics, µ, is 539. The standard deviation of
these scores is 39. A special preparation course claims that its graduates
will score higher, on average, than the mean score 539. A random sample
of 80 students completed the course, and their mean SAT score in
mathematics was 544. 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 39.
圖
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.)
Transcribed Image Text:The mean SAT score in mathematics, µ, is 539. The standard deviation of these scores is 39. A special preparation course claims that its graduates will score higher, on average, than the mean score 539. A random sample of 80 students completed the course, and their mean SAT score in mathematics was 544. 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 39. 圖 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:
H, :0
S
", :0
The alternative hypothesis:
圖
D=0
OSO
The type of test statistic:
(Choose one)
O<O
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?
O Yes
O No
믐
Transcribed Image Text:The null hypothesis: H, :0 S ", :0 The alternative hypothesis: 圖 D=0 OSO The type of test statistic: (Choose one) O<O 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? O Yes O No 믐
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