Answer the following questions. 1 In a primary school, there are two standard classes with 35 and 40 students. respectively. Within the first class. 18 students are female, whereas within the second class, 22 are female. Assuming that the data follows the normal distribution, find the 95% confidence interval of the difference between the female proportions of the two classes. 2 The mean kilometers travelled for a random sample of 20 cars in a car park is 54.275 km with a variance of 13.282. Construct a 97% confidence interval for the variance.248 Statistics and Probability 5 A kitchen cabinet manufacturer is interested in comparing assembly times for two assembly processes. A random sample of five kitchen cabinets is selected and the assembly time (in minutes) on each cabinet of each process is recorded, as shown in the table below. Cabinet Process 1 Process 2 120 145 165 160 U A W N- 95 90 110 115 85 80 Based on the data, can the manufacturer conclude, at the 10% level of significance, that the mean assembly times for the two processes differ?Chapter 7 Assessment 247 4 The average amount of time male and female college students spend playing computer games each day is believed to be the same. A random sample of 15 male students yield a mean of 5 hours with a standard deviation of 2.5 hours, whereas a random sample of 10 female students give a mean of 4 hours with a standard deviation of 3.5 hours. Is there a difference in the average amount of time male and female students play computer games each day? Test at the 5% level of significance.3 A town uses thousands of street light bulbs each year. The brand of bulb the town currently uses has a mean life of 1,500 hours. A supplier claims that its new brand of street light bulbs (with the same cost) has a mean life of more than 1.500 hours. The mayor has decided to purchase the new brand if the test evidence supports the supplier's claim at the 0.025 level of significance. Suppose 100 bulbs of the new brand were tested with the following results: > = 1,620 hours and s = 162 hours. Will the mayor of the town purchase the new brand of street light bulbs?Statistics and Probability - SY2122-2T 07 Hypothesis Testing 07 eLMS Activity: The Ghost of an Innocent Man Instructions \"The Ghost of an Innocent Man\" Have you ever wondered about criminal cases that results in wrong decisions? Relate your answer to the fact that we are humans who can make mistakes in judgment. What do you think is worse: to convict an innocent man or set the guilty free? CONVECTif-JG THE i-'s'NOCENT Shown in the picture is the cover of the book written by Brandon L. Garrett, a law professor who examined the cases of 250 wrongfully convicted people. Task: Read the online book review \"The Wrongful Conviction as a Way of Life\" by Jeffrey Rosen. You may also search for more online resources that can help you learn about real-life situations that are like the contents of this article. Then write your point of View on this subject matter in two (2) to three (3) paragraphs. Include in your discussions your understanding of how it relates to the concepts you have learned in the steps of hypothesis testing