X Untitled X + X C File G 2 of 3 Q + Q [ Page view A Read aloud ) Add text Draw Highlight Erase 503 SECTION B Instruction: Complete ALL questions from this section. Question 1 A. Carrots entering a packaging plant have an average length of 20.7cm, and standard deviation of 3.2cm. If the lengths are approximately normally distributed, calculate the probability that: 1 . carrots received will be shorter than 20.7cm ii. they will receive a carrot longer than 24cm carrots received will be between 19 and 22cm B. A publisher wants to estimate the mean length of time (in minutes) all adults spend reading newspapers. To determine this estimate, the publisher takes a random sample of 15 people and obtains the following results: 11, 9, 8, 10, 10, 9, 7, 1 1, 11, 7, 6, 9, 10, 8, 10 Assume that the population of times is normally distributed and o = 1.58. 1. Find the point estimate of the population mean. ii. Construct the 95% confidence interval for the mean population length reading time and interpret it. iii. What is the margin of error? iv. How can we reduce the margin of error? Question 2 A. Males and females were asked what they would do if they received US$100 by mail, 9 C ENG () O 9:10 am Mostly cloudy US 25/5/2022