Most companies that make golf balls and golf clubs use a one-armed robot named "Iron Byron" to test their balls for length and accuracy, but because of swing variations by real golfers, these test robots don't always indicate how the clubs will perform in actual use. One company in the golfing industry is interested in testing its new driver to see if has greater length off the tee than the best-selling driver. To do this, it has selected a group of golfers of differing abilities and ages. Its plan is to have each player use each of the two clubs and hit five balls. It will record the average length of the drives with each club for each player. The resulting data for a sample of 10 players is: Player New Club 236.4 Leading Club 237.2 200.4 240.8 259.3 218.9 200.6 1 2 202.5 245.6 4 257.4 223.5 6. 205.3 266.7 240 278.9 211.4 258.9 236.5 280.5 206.5 6. 10 Based on these sample data, what is the point estimate for the difference between the mean distance for the new driver versus the leading driver? A) 233.4 B) -3.45 C) 1.55 D) 2.81

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.