In: Statistics and Probability
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...)