The average amount of time boys and girls aged seven to 11 spend playing sports each day is believed to be the same. A study is done and data are collected, resulting in the data in the table below. Each populations has a normal distribution. Test the claim at a 0.05 level of significance. Sample Size (n) Mean Time (hrs) Sample Standard Deviation Population 1: Girls 9 2 0.866 Population 2: Boys 16 3.2 1.000 Ho : μ1 μ2 Ha : μ1 ≠ μ2 t - Test Statistic = (Round to 2 decimals) p - Value = (Round to 4 decimals) Conclusion: There is sufficient evidence to (reject OR not reject) the claim
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