
	Trending ▼ ICSE CBSE 10th ISC CBSE 12th CTET GATE UGC NET Vestibulares ResFinder

GCE JUN 2008 : AS, S2: Statistics2

4 pages, 17 questions, 0 questions with responses, 0 total responses,

	gce	+Fave Message
	Profile Timeline Uploads Q & A

Home > gce >

Instantly get Model Answers to questions on this ResPaper. Try now!
NEW ResPaper Exclusive!

Formatting page ...

ADVANCED General Certificate of Education 2008 Mathematics assessing Module S2: Statistics 2 AMS41 Assessment Unit S4 [AMS41] MONDAY 16 JUNE, AFTERNOON TIME 1 hour 30 minutes. INSTRUCTIONS TO CANDIDATES Write your Centre Number and Candidate Number on the Answer Booklet provided. Answer all seven questions. Show clearly the full development of your answers. Answers should be given to three significant figures unless otherwise stated. You are permitted to use a graphic or scientific calculator in this paper. INFORMATION FOR CANDIDATES The total mark for this paper is 75 Figures in brackets printed down the right-hand side of pages indicate the marks awarded to each question or part question. A copy of the Mathematical Formulae and Tables booklet is provided. Throughout the paper the logarithmic notation used is ln z where it is noted that ln z loge z AMS4S8 3171 Answer all seven questions. Show clearly the full development of your answers. Answers should be given to three significant figures unless otherwise stated. 1 The marks of ten students in English Literature and Mathematics are given below in Table 1. Table 1 English Literature (x) 48 71 60 55 59 67 73 71 50 78 Mathematics (y) 55 75 61 67 78 69 69 77 57 71 Summary statistics for these data are: x = 632 y = 679 x 2 = 40894 y 2 = 46685 xy = 43427 (i) Find the product moment correlation coefficient for these data. (ii) Comment on the value obtained in part (i). 2 [5] [1] In linear regression one of the variables is called the explanatory or independent variable. (i) Explain clearly what this means. Illustrate your answer with an example. [3] Alison carries out an experiment to find the regression equation between two variables x and y. The summary statistics of her experiment are given below: n=8 x = 220 y = 544.5 x 2 = 7100 (ii) Find the regression equation of y on x. AMS4S8 3171 y 2 = 39755.67 xy = 16653.5 [6] 2 [Turn over 3 Paul is interested in the mean time for his bus journey to work. He records the time, x minutes, for fifty journeys and the results are as follows: x = 1925 x 2 = 74285 (i) Calculate an estimate for the population variance of journey times. (ii) Find a 95% confidence interval for the mean time of the journey. [5] (iii) What assumption has been made when calculating the answer to part (ii)? 4 [2] [1] The heights (to the nearest centimetre) of a sample of ten eighteen-year-old students at a large American college are as follows: 174 177 182 179 170 175 177 178 180 176 (i) Calculate an estimate for the population variance of eighteen-year-old students at this college. [2] (ii) Find the standard error of the mean. [2] It is reported that the national average height of eighteen-year-olds is 176 cm. (iii) Assuming Normality, test (at a 5% level) whether the mean height of eighteen-year-old students at this college exceeds the national average. [9] 5 A popular breakfast cereal is sold in boxes which state that the mass of the cereal inside is 500grams. A random sample of 60 boxes of cereal had mean contents 501.4 grams. It is known that the population variance for this cereal is 15 gram2. Assuming Normality, test at 5% level whether the mean differs from the value stated. AMS4S8 3171 3 [10] [Turn over 6 Four runners are taking part in a 4 by 400 metres relay race. The times taken by each runner are independent and Normally distributed with parameters (in seconds) as given in Table 2 below. Table 2 Runner Mean Standard Deviation A 47.6 0.6 B 48.2 0.9 C 50.3 0.7 D 49.8 1.2 (i) Find the expected mean and variance of the total time for the race. (ii) Find the probability that the race is run in over 3 minutes 18 seconds. [5] (iii) Find the probability that runner B runs their 400m faster than runner A. 7 [4] [7] A soft drinks company produces drinks in bottles marked as containing 330 ml. In fact the factory bottling machines are set so that the volumes in the bottles are Normally distributed with mean 335 ml and standard deviation of 3 ml. The bottles are sold in supermarkets in packs of six. (i) Find the distribution of X6, the mean volume of a bottle of a six-pack. [3] (ii) Find the probability that a six-pack chosen at random has average bottle content of less than 334 ml. [5] Mike buys four six-packs. (iii) Find the probability that exactly two of the six-packs have average bottle contents of less than 334 ml. [5] S 1/07 531-009-1 [Turn over

Formatting page ...

Additional Info : Gce Mathematics June 2008 Assessment Unit S4 Module S1: Statistics2
Tags : General Certificate of Education, A Level and AS Level, uk, council for the curriculum examinations and assessment, gce exam papers, gce a level and as level exam papers , gce past questions and answer, gce past question papers, ccea gce past papers, gce ccea past papers

gce chat

Horizontal lines at:
Guest Horizontal lines at:
AutoRM Data:
Box geometries: