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We do not use critical values at all in our course so please avoid using them...

Question

We do not use critical values at all in our course so please avoid using them...

1. A track coach is trying to determine if a new training program will lead to better standing long jump results. She selectsPage 3 (#1 continued) iii. Find the p-value of your test statistic. You are required to graph the test statistic on its corre

We do not use critical values at all in our course so please avoid using them when giving me explanations, as they can cause confusion on my end between your explanation and what im learning on my course

1. A track coach is trying to determine if a new training program will lead to better standing long jump results. She selects 20 of her athletes, tests their standing long jump distances, then has them take part in a 12-week training program. After they complete the program, she tests their standing long jump distances. (The distances below are recorded in meters.) Before After 2.35 2.34 2.42 2.48 2.26 2.29 2.58 2.62 2.62 2.64 2.16 2.18 2.40 2.44 2.62 2.67 2.35 2.39 2.47 2.44 (a) Construct a 90% confidence interval for the mean difference in jump distance (after-before). [5 pts] (6) The creators of the program claim that their program significantly increases jump distance. Test this claim at the 5% significance level. i. Define the parameter(s) and state the hypotheses: [3pts] ii. Find the observed sample statistic (using your calculator) and the test statistic (using a formula). Use proper notation for the sample statistic ( X or p ), and clearly identify your test statistic as either a z-score or a t-score. [4pt]
Page 3 (#1 continued) iii. Find the p-value of your test statistic. You are required to graph the test statistic on its corresponding distribution, shade the appropriate area, and provide correct calculator documentation. Box final answer. [3pt] iv. Make a generic decision about H. [2pt] v. Make a conclusion in context. [2pt] c) Do you have any concerns about this hypotheses test? Clearly answer "Yes" or "No." Explain your answer [2 pts]

Answers

Let us denote the difference

d = after - before

1. a)

Let à denotes the sample mean of difference, s denotes the sample standard deviation of difference and n denotes the sample sb) parameter : population mean of difference = \mu_d

Let ud denotes the population mean of differnce. Hypotheses : To test null hypothesis Hofd = 0 against alternative hypothesis


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