STA2020F 2006 TEST 1

STA2020F 2006 TEST 1 - STA2020F 2006 Class Test 1 Date 30th...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
STA2020F 2006 Class Test 1 Date: 30 th March 2006 Time: 1 hour 30 minutes Total marks: 60 Instructions: Answer all the questions in your blue answer book. Your answer should be T or F for each question in section A and a written answer for section B. There is no penalty for incorrect answers in section A. A formula sheet and the relevant statistical tables are provided at the end of this test paper. SECTION A : Total marks 8 State whether each of the following statements is true (T) or false (F). Each question carries 1 mark . 1) If we reject a null hypothesis at the 5% level of significance then we may or may not reject it at the 6% level of significance. 2) If the significance level of a test is stated as 3%, then a p-value of 0.025 would lead us to reject the alternate hypothesis for the test. 3) An article in an anthropology journal reports a p-value of 0.043 for testing H 0 : μ = 0 against H 1 : μ 0. If the authors had instead reported a 95% confidence interval for μ , then the interval would not have contained zero. 4) A 95% confidence interval for μ is given by (3, 5). If we were testing H 0 : µ = 3.2, then we would not reject the null hypothesis. 5) If you were testing whether the mean STA100S mark for the students in the 2005 class was the same for male and female students, the appropriate null and alternate hypotheses would be: H 0 : μ male ≠ μ female and H 1 : μ male = μ female . 6) If you were testing whether the mean STA100S mark for the students in the 2005 class was the same for male and female students, at the 10% level of significance, and you obtained a p-value of 0.075, you would conclude that there was a difference in the mean marks for males and females. 7) If you were testing whether the mean STA100S mark for the students in the 2005 class was the same for male and female students, at the 10% level of significance, and you obtained a p-value of 0.075, then the 90% confidence interval for the difference in mean marks would contain zero. 8) One of the advantages of using ANOVA instead of multiple t-tests to test for a difference between population means, is that the overall probability of making a type I error is reduced. 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
SECTION B : Total marks 52 Question 1: The recent power cuts experienced in Cape Town have been a source of frustration for everyone. One particular STA2020F lecturer has been determined to save power at home and has taken various power-saving measures to try and accomplish this. In order to measure how well she is doing in terms of power saving, she takes daily readings on her electricity meter over a period of 6 weeks and records the power consumption (in
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 08/04/2011 for the course STA 2020F taught by Professor - during the Spring '11 term at University of Cape Town.

Page1 / 11

STA2020F 2006 TEST 1 - STA2020F 2006 Class Test 1 Date 30th...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online