解决这些问题---T-Test Practice Dataset 1 Questions 1.) What is the null and alternative hypothesis? a.) H0: There is a significant difference between the two groups in regards to their mean; Ha: There is not a significant difference between the two groups in regards to their mean. b.) H0: There is not a significant difference between the two groups in regards to their mean; Ha: There is a significant difference between the two groups in regards to their mean. 2.) What is the test statistic? 3.) What is the resultant two-tailed p-value? a.) p > .10 b.) .10 > p > .05 c.) .05 > p > .01 d.) .01 > p 4.) Which of the following is the correct interpretation of the results? a.) There was no significant difference between the groups. b.) There was a significant difference between the groups. Group A's mean was larger. c.) There was a significant difference between the groups. Group B's mean was larger.

视频信息

答案文本 复制

视频字幕 复制

在T检验中，我们需要设定假设。零假设H0通常表示两组均值之间没有显著差异，即μA等于μB。备择假设Ha表示两组均值之间存在显著差异，即μA不等于μB。因此正确答案是选项b。 T检验统计量用于衡量两组均值差异的显著性。计算公式是两组样本均值的差除以标准误差。分子是两组均值的差，分母是合并标准误差的平方根。由于题目没有提供具体的数据集，我们无法计算出具体的T统计量值。 双尾P值是指在零假设为真的条件下，观察到当前T统计量或更极端值的概率。在双尾检验中，我们考虑分布两端的尾部区域。P值越小，表示观察到的差异越不可能是由随机变异造成的。由于题目没有提供数据集，我们无法计算T统计量，因此也无法确定P值的具体范围。 The interpretation of t-test results depends on comparing the p-value with the significance level. If the p-value is less than the significance level, we reject the null hypothesis and conclude there is a significant difference between groups. If the p-value is greater than or equal to the significance level, we fail to reject the null hypothesis. To determine which group has a larger mean, we need to compare the sample means of both groups. Since no dataset is provided, we cannot perform these calculations and comparisons, so we cannot determine the correct interpretation. 总结这道T检验练习题：我们成功回答了第一个问题关于假设设定，零假设是两组均值无显著差异，备择假设是两组均值有显著差异。但是由于缺少实际的数据集，我们无法计算检验统计量、确定P值范围，也无法对结果进行正确解释。完整的T检验需要遵循四个步骤：设定假设、计算统计量、确定P值、解释结果。在实际应用中，必须有数据才能进行有效的统计推断。