Question 662405: A high school physical education teacher believes that students learning to play golf as part of their senior physical education class improve their scores in the second round of two-round competitions, because they are less nervous after the first round. He collected the golf scores of 12 randomly selected physical education students (see table below).
Student | Round 1 | Round 2
1 | 89 | 84
2 | 90 | 85
3 | 87 | 89
4 | 95 | 89
5 | 86 | 81
6 | 84 | 76
7 | 102 | 101
8 | 103 | 90
9 | 83 | 81
10 | 88 | 91
11 | 91 | 88
12 | 79 | 80
Is there evidence that students on average perform better in the second round of golf? (Remember that in golf lower scores are better).
(a) Use a parametric test to answer this question by completing the following (parts i. to v. are to be completed without the aid of SPSS):
i. State appropriate hypotheses (define any symbols used).
ii. State (but do not check) the assumptions for carrying out this test. Describe the assumptions in the context of this question.
iii. Calculate the value of a suitable test statistic for this test.
iv. Calculate the p -value of this test.
v. Interpret the p -value and describe the outcome of the test in the context of this question.
(b) If the assumptions for the test in part (a) were not satisfied, what alternative test could you perform? Perform this non-parametric test without the aid of SPSS by completing the following:
(i) State appropriate hypotheses.
(ii) Calculate the value of a suitable test statistic for this test. Clearly explain how you calculated the test statistic.
(iii) Calculate the p -value of this test.
(iv) Interpret the p -value and describe the outcome of the test in the context of this question.
(c) Compare the results from part (a)v and (b)iv. Do the results agree and why might they differ?
Unsolved 2012-10-03 19:20:33 This is Statisics/ Data analysis. if domeone could please hep me understand this and how to do it, it would be very much appriecated.
A random sample of 120 donations at the Toowoomba blood bank indicates that 18 were type B blood.
(a) If there is no reason to believe that blood type influences whether a person in Toowoomba becomes a donor, estimate, with 90% confidence, the population proportion of adults with type B blood in Toowoomba.
(b) Check the procedure you used in part (a) is appropriate by checking all the necessary conditions, assumptions and/or ‘rules of thumb’.
(c) What is the minimum sample size required if we wish to estimate the population proportion of adults with type B blood, to within plus or minus 3%, with 95% confidence? Use a conservative method in determining the sample size.
Unsolved 2012-10-03 19:10:44 I hope this is the right place, if not could someone point me in the right direction. Please help i really don't know what to do.
Consider the quadratic function f (x) = –x^2 + 5x – 2. The average rate of change of this function between any two points (x, f (x)) and (x + h, f (x + h)) can be calculated using the so-called difference quotient
f(x+h)–f(x)/h
where h is known as the step size (or the increment).
(a)Use this difference quotient to calculate the average rate of change of this quadratic function between
(i)x = 2 and x = 2.1
(ii)x = 2 and x = 2.01
(iii)x = 2 and x = 2.001
(iv)x = 2 and x = 2+ h
Do NOT round your answers. Note that your answer to part (iv) will be an algebraic expression, not a numerical value. Simplify this expression.
(b)Use your answer to part (a)(iv) to answer the following question:
As h approaches 0, what numerical value does
f(2+h)–f(2) /h
approach?
(c)Now use calculus to find
(i)The derivative function f '(x)
(ii)The value f '(2)
(d)Compare f '(2) with your answer to part (b). Explain why these two values are equal or not equal.
(e)Draw the graph of the function for the domain 0 ≤ x ≤ 5 . On your graph roughly draw by hand the tangent line passing through the point (2, f (2)) . What is the gradient of this tangent line?
Answer by lynnlo(4176)   (Show Source):
You can put this solution on YOUR website! we are here to help you understand your homework,we can not do all of your work for you,you need to try to do something on your work
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