Managerial Report for Golf Equipment Inc.
After testing both the current and new golf balls, I have done some statistical testing to analyze which golf balls are better. I have found that the current golf balls travel a mean distance of 270.28 feet. The new golf balls travel a mean distance of 267.50 feet. The standard error for the current balls is 1.38 feet. The standard error for the new balls is 1.56 feet. The standard deviation for the current balls is 8.75 feet. The standard deviation for the new balls is 9.90 feet.
The null hypothesis is M1=M2, which means the two balls provide the same results for golfers. The alternative hypothesis is M1 does not equal M2. This means that one of the golf balls travels farther than the other.
After analyzing the statistics I have found that the p-value is .18. Since the p-value is greater than 0.05, which is the level of significance, so we accept the null hypothesis and conclude that the two means are equal. We do not reject the null hypothesis, which means the two golf balls provide the same results for golfers. The golf balls are the same.
There is 95% probability that the true population mean is between 267.47 and 273.07 (current golf ball) while 264.33and 270.66 (new golf ball). By their confidence intervals, we can say that there is no significance difference between the driving distances of current ball and new ball.
I would recommend keeping the current golf balls. It would cost more money to produce and make changes to new golf balls to make them more effective than the current golf balls.