Q2. Suppose that the distribution of the time spent working per week by all university students of Dhaka city has a skewed-to-the-left distribution with a mean of 20 hours and a standard deviation of...

Introduction to Statistics (Bus-172)

Extracted text: Q2. Suppose that the distribution of the time spent working per week by all university students of Dhaka city has a skewed-to-the-left distribution with a mean of 20 hours and a standard deviation of 4.6 hours. Suppose a random sample of 36 university students is selected. (a) What type of shape did you assume for the sampling distribution for sample mean and on what ground? Write down two properties of the type of distribution you assumed. (b) What is the probability that the mean time spent working per week for this sample of students will be between 18 hours and 21 hours? (c) Show both the population distribution and sampling distribution of sample mean in a single graph. (d) If one university student is randomly chosen from all such students, what is the probability that the student will work at least 24 hours per week?