A random set of 14 female high schools seniors was selected and weighed. The weights (in kg) are listed below.
55, 62, 50, 52, 65, 65, 55, 46, 48, 48, 53, 53, 46, 60
You may take as known that the population is normally distributed with a standard deviation of 12 kilograms. State a hypothesis test appropriate to determine if there is enough evidence to conclude that the mean weight for this population exceeds 52 kilograms. Then give each of the following:
A. The value of the standardized test statistic:
B. The p-value: