(Solution) - On a standard test of motor coordination a sports psychologist -(2025 Original AI-Free Solution)

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On a standard test of motor coordination, a sports psychologist found that the population of average bowlers had a mean score of 24, with a standard deviation of 6. She tested a random sample of 30 bowlers at Fred?s Bowling Alley and found a sample mean of 26. A second random sample of 30 bowlers at Ethel?s Bowling Alley had a mean of 18. Using the criterion of p = .05 and both tails of the sampling distribution, what should she conclude about each sample?s representativeness of the population of average bowlers?