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In: Statistics and Probability

According to a website, the average number of dimples in a golf ball is 336 dimples....

According to a website, the average number of dimples in a golf ball is 336 dimples. I collect a random sample of golf balls, and my sample has a mean of 335.4 dimples and a standard deviation of 8.3 dimples. I want to test if the average number of dimples in all golf balls is actually less than the reported 336 dimples. I run a simulation and I get a p-value of 0.154.

A) Assign appropriate symbols to the given numbers in the problem--336, 335.4, and 8.3.

B) Write the appropriate null and alternative hypotheses in words and in symbols. (Ho: ?, Ha: ?)

C) Write a complete sentence in context to interpret the exact meaning of the p-value IN CONTEXT. (format: "If we assume BLANK then the probability of BLANK is BLANK.)

D) What conclusion should I make IN CONTEXT about average number of dimples in golf balls based on this p-value? (format: we have strong evidence that...)

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