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# A hypothesis test to determine mean driving distance of golfers.

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Golf course designers are concerned that the old courses are becoming obsolete because new equipment enables golfers to hit the ball so far. One designer believes the new course need to build with the expectation that players will be able to hit the ball more than 250 yards on average. A sample of 29 golfers was tested and their mean distance was 256 yards with standard deviation of 15. is this significant at the 5% level?

##### Solution Summary

The following demonstrates the process for constructing a hypothesis test to determine if the mean distance for hitting a golf ball is different than 250 yards. A t-test is used with a sample size of 29 golfers.

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Golf course desighers are concerned that the old courses are becoming obsolete because new equiptment enables golfers to hit the ball so far. One designer beleives the new course need to build witht he expectation that players will be able to hit the ball more than 250 yards on average. A sample of 29 golfers was tested and their mean distance ...

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###### Education
• BSc , Wuhan Univ. China
• MA, Shandong Univ.
###### Recent Feedback
• "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
• "excellent work"
• "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
• "Thank you"
• "Thank you very much for your valuable time and assistance!"

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