A researcher wishes to know if golf scores own clubs are lower with the new clubs. Eight golfers were asked to submit their latest scores on their favourite golf courses. These golfers were each given a set of newly designed clubs. After playing with the new clubs for a few months, the golfers were again asked to submit their latest scores on the same golf courses. The results are summarized below. Golfer 12 3 4 56|7 8 Own clubs 77 80 69 73 73 72 75 77 New clubs 72 81 68 73 75 70 73 75 (d = own clubs – new clubs) (a) List out the difference, d, and give a point estimate for the difference in mean and standard deviation. (b) State a suitable null hypothesis, alternative hypothesis and tail test. (c) Calculate the test statistic, t*. (d) Determine the degree of freedoms and critical value for a = 0.025. Test, by using critical value method at the 2.5% level of significance, the hypothesis that on average golf scores are lower with the new clubs. (e)
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
please answer questions c,d,e.
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