I am completely lost in completing this assignment.

Here are the questions and the file is attached:

Unless otherwise stated, use p = .05 in all your answers.

1. A human resource specialist interviewed eight applicants for a position. Their interview scores are: 67, 55, 88, 74, 69, 81, 72, 70.
   1. What is the value of SE_M?
   2. Are the scores of this group representative of the population of applicants for whom ? = 66.0?
   3. Does the human resource specialist need to interview more applicants or should she choose from among the eight applicants already interviewed?
2. Another group of interviewees scored 52, 58, 64, 65, 67, 68, 69, 70.
   1. Are their scores significantly different from those in item 1?
   2. Is this group significantly better or significantly worse than the first group?
3. A shift manager at a manufacturing plant gathers data on the number of units workers assemble during 2 different shifts over 10 different days. If the number of units assembled by each shift varies greatly from day to day, what impact will that have on the likelihood of a significant difference between the two shifts?
4. A filling station operator tracks the number of gallons sold per hour during her eight-hour shift. They are as follows: 375, 400, 425, 425, 490, 500, 510, 530. If the mean number of gallons sold per hour for a week is ? = 500, are the data from this shift representative of the whole week?