Reference no: EM13977637

Comparing dexterity-test scores of workers on the day shift versus those on the night shift, the production manager of a large electronics plant finds that a sample of 37 workers from the day shift have an average score of 73.1, with a standard deviation of 12.3. For 42 workers from the night shift, the average score was 77.3, with a standard deviation of 8.4. Assuming the population standard deviations are equal, use the 0.05 level of significance in comparing the average scores for the two upon approaching the front desk. In particular, she is concerned that desk staff might be providing female guests with less prompt service than their male counter- parts. In observing a sample of 34 male guests, she finds it takes an average of 15.2 seconds, with a standard deviation of 5.9 seconds, for them to be greeted after their arrival at the front desk. For a sample of 39 female guests, the mean and standard deviation are 17.4 seconds and 6.4 seconds, respectively. Assuming the population standard deviations to be equal, use the 0.05 level of significance in examining whether the population mean time for serving female guests might actually be no greater than that for serving male guests. Using the appropriate statistical table, what is the most accurate statement we can make about the p-value for the test?