a. A random sample of 180 students from a private kindergarten produces mean weight of 46.3kg with sample standard.deviation 4.7. Construct a 95% confidence interval for the mean weights of all students at the kindergarten. [6 marks] b. A random sample of older people were asked "Would you like to turn back to younger years if you were given the opportunity for a second time?" of the 250 people surveyed, 195 of them said that they would do so. Find the value of p-hat and q-hat. [2 marks] Answer up to 2 decimal places. Show your works