An experiment was conducted to determine whether the price of a golf club affected the distance a golfer could hit a golf ball. A sample of 60 golfers were randomly assigned to one of two groups, c or e. The 30 golfers in group c were given a club and told the price of the club was cheap; the 30 golfers in group e were given the same club and told the price of the club was expensive. In reality, there was no difference in price. The golfers used their assigned clubs to hit a golf ball as far as they could. The distance, in yards, that each golfer hit the golf ball was recorded, and the mean distance calculated for each group. A two-sample t-test for a difference in means will be conducted

The data was collected using random assignment, the golfers were assigned randomly to the two groups.
The data was also collected using random selection.
The distribution of the difference in the sample means will be normally distributed as well according to the central limit theorem.

What is a t-test?

A t-test simply means a type of inferential statistic that is used to determine if there is a significant difference between the means of two groups,

From the complete question, the data was collected using random assignment, the golfers were assigned randomly to the two groups, it was also collected using random selection and the distribution of the difference in the sample means will be normally distributed.

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