A store manager at a local supermarket wished to determine whether its 9 junior staff would be eligible to receive a Christmas bonus. The contractual agreement between the junior staff and management is that they will receive the bonus if all members of staff work the same number of hours. The manager looks at the accounts for the most recent 30-day period to determine if it is likely they will receive the bonus for the upcoming Christmas. Summary data is presented below (the number of hours worked is provided in brackets).
Janelle (35.5)
Daniel (41.5)
Jemma (46.5)
Tiffany (38.5)
Annabelle (46)
Emma (33)
Lauren (39.5)
Samuel (39)
Adam (40.5)
A 10% level of significance is to be used.
Calculate the value of the test statistic (2 decimal places).
On the basis of this test, is it likely that the junior staff will receive the bonus? (Type yes/no)