Complete this exercise using the Seven Steps to Hypothesis Testing learned in class. The new director of a local YMCA

[answerhappygod]

Complete this exercise using the Seven Steps to Hypothesis
Testing learned in class.   
The new director of a local YMCA has been told by a former
director that the average member has belonged for 8.7 years.
Examining a random sample of 15 membership files, he finds the mean
length to be 7.2 years with a standard deviation of 2.5 years.
Assuming the population is approximately normally distributed, and
using the 0.05 level, does this result suggest that the actual mean
length of membership may be some value other than 8.7 years?
I.DETERMINE AND STATE THE NULL HYPOTHESIS (HO) & THE
ALTERNATIVE HYPOTHESIS (H1).
II.STATE THE LEVEL OF SIGNIFICANCE, α.
III. DETERMINE THE SAMPLING DISTRIBUTION OF THE APPROPRIATE
STATISTIC AND STATE THE TEST STATISTIC.
IV. DETERMINE & STATE THE DECISION RULE.
V.CALCULATE THE VALUE OF THE TEST STATISTIC.
VI. MAKE THE DECISION – STATING THE LEVEL OF SIGNIFICANCE.
VII. DRAW THE CONCLUSION:1. IN REGARD TO THE ORIGINAL PROBLEM
STATEMENT.2. ALWAYS IN TERMS OF THE ALTERNATIVE HYPOTHESIS (H1).3.
IF THE DECISION WAS TO REJECT HO, A STRONG CONCLUSION CAN BE MADE.
4. IF THE DECISION WAS TO FAIL TO REJECT HO, A WEAK CONCLUSION MUST
BE MADE.