Question: A large multinational corporation has hired a team of HRM consultants to evaluate the effectiveness of the human resource management practices at one of its divisions. The consultants are famous for having developed a proprietary scale that measures employee engagement. To assess the level of engagement among the employees at the division, a number of workers are sampled at random and administered an extensive questionnaire. Based on the responses to the questionnaire, each of the employees interviewed are assigned an ENG score by the consultants that measures engagement on a scale of one to fifty. The following printout shows one part of the statistical analysis performed by the consultants on the data they obtained:

In the questions that follow, let y be the mean of the population of ENG scores for workers at the division, and let \({{\sigma }^{2}}\) be the population variance, so \(\sigma \) denotes the population standard deviation. Similarly, let y denote the mean of the sample of ENG scores, and let \({{s}^{2}}\) denote the sample variance, so s denotes the sample standard deviation.

Give the value of the test statistic for the hypothesis test performed in the printout.