"A handgrip dynamometer is used to measure the maximum isometric strength of the hand and forearm muscles. The score for ten individuals are listed below separately for dominant and nondominant hand. A high score means a stronger grip. Assume dynamometer measurements are normally distributed for both dominant and non-dominant hands. At the 0.1 significance level, test the claim that on average an individual’s dominant hand is stronger than their non-dominant hand."

The perimeter of a stage is 116 feet. it is 17 feet wide. how long is it?

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).