Emilio has played ten rounds of golf this season. His mean score is 80 and standard deviation is 4. Assume Emilio's golf scores are normally distributed.

a) Find the 95% confidence interval of Emilio's mean golf score

b)Find the 95% confidence interval of Emilio's mean golf score if the standard deviation was 8 instead of 4

c) Emilio's most recent golf score is 75. He claims that his game has improved and hid latest score should determine whether he qualifies for entry in the tournament, should the tournament accept his claim?

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