The mean SAT score in mathematics,  μ , is  500 . The standard deviation of these scores is  34 . A special preparation course claims that its graduates will score higher, on average, than the mean score  500 . A random sample of  19  students completed the course, and their mean SAT score in mathematics was  507 . Assume that the population is normally distributed. At the  0.1  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  34 . 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. The null hypothesis: H0:   The alternative hypothesis: H1:   The type of test statistic: (Choose one)ZtChi squareF             The value of the test statistic: (Round to at least three decimal places.)   The critical value at the  0.1  level of significance: (Round to at least three decimal places.)   Can we support the preparation course's claim that its graduates score higher in SAT?

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The mean SAT score in mathematics, 
μ
, is 
500
. The standard deviation of these scores is 
34
. A special preparation course claims that its graduates will score higher, on average, than the mean score 
500
. A random sample of 
19
 students completed the course, and their mean SAT score in mathematics was 
507
. Assume that the population is normally distributed. At the 
0.1
 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 
34
.

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.

The null hypothesis:
H0:
 
The alternative hypothesis:
H1:
 
The type of test statistic: (Choose one)ZtChi squareF      
     
The value of the test statistic:
(Round to at least three decimal places.)
 
The critical value at the 
0.1
 level of significance:
(Round to at least three decimal places.)
 
Can we support the preparation course's claim that its graduates score higher in SAT?
 
Yes
 
 
No
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