please help me to solve these questions correctly

Please show all norkiggs clearly Question 1 One year ago, a book store calledA Likely Story expanded its stock to include children's books. In a review of this expansion, the owner of A Likely Story would like to know how many children's books are sold on average each day. He randomly selected 45 days from the past year and mooted the number of books sold on those particular days. The sample average was found to be 28.3 books, with a standard deviation of 4.1. (a) (5 marks) Construct and interpret a 99% confidence interval to estimate the population mean number of children's books sold per day at A Likely Story. (b) (3 marks) Assuming a 99% level of condence, what sample size would he required to achieve a margin of error of 0.5 books? (c) (9 marks) The industry standard sales statistics for a successful book seller is known to be an average of 27.1 children's books per day. At the 0.10 level of signicance, is there evidence that the population mean number of children's books sold at A Likely Story is different? Question 2 (4 marks) The Good-Guys Car Dealership has tracked the number of used cars sold, which is normally distributed, at its downtown dealership. Consider the following data as representing the sample of cars sold in each of the 8 weeks that the dealership has been open. 3 5 2 '3' 1 B 9 0 Construct a 94% confidence interval for the proportion of selling more than 5 cars in a week. Question 3 A pre-school teacher has to prepare her students' progress report for the coming department meeting. She believes that that average time taken by her current students to read \"The Gingerbread Mon" story has improved by an average of at least 5 minutes. The following is the data collected 12 of her students, shows the rst and second reading time (in minutes):- Student ID A1 A2 A3 lsl reading 20 23 24 2an reading 21 13 2f] (9 marks) Assist the pie-school teacher to investigate if her believe is two so that she can report it to her superiors