01. Q2. 0.3. In total, there are five members in a famil : la) List all possible samples of three members each. lb) Compute the proportion of female for each of these samples. lc) Find the sampling distribution of )3 {sample proportion of female) when the sample size is 3. id) Calculate the sampling error using a value from the sample proportion obtained in (b). The mean wage for all 400 employees who work at a large company is $40 and the standard deviation is 55 However, the population distribution of wages for all employees in this company is skewed to the left. la) Calculate the mean and standard deviation of f [sample mean) for a sample of size of ii) 25 and (ii) 50. lb) Show graphically the shape of the population distribution. lc) Describe graphically the shape of its sampling distribution for a sample of size of ii) 25 and (ii) 50. The following hypothetical data set of the speeds (in miles per hour) for a sample of 10 cars traveling on the Dhaka - Chittagong highway: 68 " 80 65 75 78 73 78 82 79 Assuming that the speeds of all cars traveling on this highway have a normal distribution with a standard deviation of 6.25. (Note: "' indicates the value of 5'h and 6'\" digits of your [0) (a) Calculate the mean speed for this sample lb) What is the point estimate of mean speed of all cars? it) Construct a 95% confidence interval for the mean speed of all cars traveling on this highway and comment on the result. (d) What is the margin of error for the estimate? The End