PSY 233.3: Statistical Methods in Behavioural Sciences I Assignment 6 Question 1 (2 marks) 94 receipts were collected for customer purchases. The mean sale amount was $33.25 with a standard deviation of $6.45. Construct a 96% confidence interval for the mean sales. Question 2 (2 marks) If = 5.5 centimeters for the height of hogs, how large does a sample have to be to estimate the height of all hogs to within 0.5 centimeters, if we want to be 95% confident in our results? Question 3 (3 marks) 26 data values were collected for liters of gas pumped. The mean amount was found to be 45 L with a standard deviation of 7 L. Construct a 99% confidence interval for the mean number of liters pumped. Question 4 (3 marks) Out of 560 deaths in the home, 140 of them are due to falls. Find: a) ???? b) ????$ c) The maximum error of estimate, E, assuming a 98% confidence level. d) Construct a 98% confidence interval about the true population proportion, p. Question 5 (2 marks) Suppose we want to estimate, with a maximum error of 0.025, the true proportion of all people in Canada who think there will be a war in the next ten years, and we want 95% confidence in our results. How many people must be surveyed? Question 6 (3 marks) You are going to conduct a survey and you want to be 95% confident that your sample percentage is within 2 percentage points of the true value, A previous poll suggests that this should be 80%. How many people must you survey