13. An education organization claims that the mean SAT scores for male athletes and male non-athletes at a college are different. A random sample of 26 male athletes at the college has a mean SAT score of 1783 and a standard deviation of 218. A random sample of 18 male non-athletes at the college has a mean SAT score of 2064 and a standard deviation of 186. At 0.05, can you support the organization's claim? Interpret the decision in the context of the original claim. Assume the populations are normally distributed and the population variances are equal.

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13. An education organization claims that the mean SAT scores for male
athletes and male non-athletes at a college are different. A random sample
of 26 male athletes at the college has a mean SAT score of 1783 and a
standard deviation of 218. A random sample of 18 male non-athletes at the
college has a mean SAT score of 2064 and a standard deviation of 186. At
0.05, can you support the organization's claim? Interpret the decision in
the context of the original claim. Assume the populations are normally
distributed and the population variances are equal.
Transcribed Image Text:13. An education organization claims that the mean SAT scores for male athletes and male non-athletes at a college are different. A random sample of 26 male athletes at the college has a mean SAT score of 1783 and a standard deviation of 218. A random sample of 18 male non-athletes at the college has a mean SAT score of 2064 and a standard deviation of 186. At 0.05, can you support the organization's claim? Interpret the decision in the context of the original claim. Assume the populations are normally distributed and the population variances are equal.
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