on average, than the mean score  593 . A random sample of  50  students completed the course, and their mean SAT score in mathematics was  606 . 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  44 . Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis  H0  and the alternative hypothesis  H1 . H0: H1: (b) Determine the type of test statistic to use.   ▼(Choose one)   (c) Find the value of the test statistic. (Round to three or more decimal places.)

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, on average, than the mean score 
593
. A random sample of 
50
 students completed the course, and their mean SAT score in mathematics was 
606
. 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 
44
.

Perform a one-tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)

(a) State the null hypothesis 
H0
 and the alternative hypothesis 
H1
.
H0:
H1:
(b) Determine the type of test statistic to use.
  ▼(Choose one)
 
(c) Find the value of the test statistic. (Round to three or more decimal places.)
 
(d) Find the p-value. (Round to three or more decimal places.)
 
(e) Can we support the preparation course's claim that its graduates score higher in SAT?
 
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