It is known that in certain district the police officers have a mean physical fitness rating of 73 on a 100- point physical endurance rating scale and the standard deviation of 8. A new police chief wants to find out if in his district the police officers have a larger mean physical fitness rating. Therefore, he selects a random sample of 69 local police officers and finds that the mean is 74. Was he right?(show work: NULL and ALTERNATIVE HYPOTHESIS; summarize the data into a single TEST STATISTICS and determine the likelihood the TEST STATISTICS would be if the NULL is TRUE using test statistics or p-value approach. DECISION ABOUT NULL AND CONCLUSION ABOUT ORIGINAL QUESTION)
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