OCR S2 2010 January — Question 3

Exam BoardOCR
ModuleS2 (Statistics 2)
Year2010
SessionJanuary
TopicApproximating Binomial to Normal Distribution
TypeSingle probability inequality

3 In a large town, 35\% of the inhabitants have access to television channel \(C\). A random sample of 60 inhabitants is obtained. Use a suitable approximation to find the probability that 18 or fewer inhabitants in the sample have access to channel \(C\). 480 randomly chosen people are asked to estimate a time interval of 60 seconds without using a watch or clock. The mean of the 80 estimates is 58.9 seconds. Previous evidence shows that the population standard deviation of such estimates is 5.0 seconds. Test, at the 5\% significance level, whether there is evidence that people tend to underestimate the time interval.