he manager of a large resort hotel, has been receiving complaints from some guests that they are not being provided with prompt service upon approaching the front desk. In particular, he is concerned that the desk staff might be providing female guests with less prompt service than their male counterparts. For a sample of 35 male guests, he found that it takes an average of 15.2 seconds, with a standard deviations 5.9 seconds for them to be greeted after their arrival at the front desk. For a sample of 37 female guests, the mean and standard deviation are 17.4 seconds and 6.4 seconds, respectively. Assuming the two population are independent and the population variances are equal, hypotheses examine whether the population mean time for serving female guests might actually be greater than that of serving male-guests. Suppose that the pooled variance is 37.9729. The test statistic is
he manager of a large resort hotel, has been receiving complaints from some guests that they are not being provided with prompt service upon approaching the front desk. In particular, he is concerned that the desk staff might be providing female guests with less prompt service than their male counterparts. For a sample of 35 male guests, he found that
it takes an average of 15.2 seconds, with a standard deviations 5.9 seconds for them to be greeted after their arrival at the front desk. For a sample of 37 female guests, the
The test statistic is
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