The Childhood Autism Rating Scales (CARS), for the population at large, has a mean of 33.  A social worker is interested in knowing whether a new therapy technique employed with Autistic Children lowers their scores on the CARS.  She takes a random sample of 11 children with Autism, has them undergo the new therapy technique for three months, and finds their scores to be the following on the CARS:  32.01, 33.22, 30.99, 31.64, 33, 32.50, 33.67, 33.11, 31.54, 31.99, 32.  Test the null hypothesis at the .01 level of significance.

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The Childhood Autism Rating Scales (CARS), for the population at large, has a mean of 33.  A social worker is interested in knowing whether a new therapy technique employed with Autistic Children lowers their scores on the CARS.  She takes a random sample of 11 children with Autism, has them undergo the new therapy technique for three months, and finds their scores to be the following on the CARS:  32.01, 33.22, 30.99, 31.64, 33, 32.50, 33.67, 33.11, 31.54, 31.99, 32. 

Test the null hypothesis at the .01 level of significance.

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