OF S & M O W PP & G ( S S V A G It B a A G W G TS GE Box W X u a S CI GLARE + C a www-library-In-edu-hk.lingnan.idm.oclc.org/sites/default/files/restrict_file/examination/3y/18191/BUS1102_18191.pdf Update : BUS1102_18191.pdf 2 / 18 1 - 109% + Student number: Part I Analysis Questions You are required to answer ALL questions Question 1: [10 Marks] In NL University, the height of students has a mean of 166cm and a standard deviation of 17cm. One hundred students are randomly selected a) With reference to this sample of 100 students, what is the standard deviation of the sampling distribution of the sample mean of heights? [2 marks] b) What is the probability that the sample mean of heights will be less than 160cm? [4 marks] C ) What is the probability that the sample mean of heights will more than 185cm? [4 marks] Answer: login.html W NG CHI HANG....docx receipt_LUE 100....pdf LUE 1001 writing....pdf image_6487327.JPG Show all XOF S & M O W PP & G ( S S V A G It B a A G W G TS GE Box W X u a S c GLA H RE + C a www-library-In-edu-hk.lingnan.idm.oclc.org/sites/default/files/restrict_file/examination/3y/18191/BUS1102_18191.pdf Update : BUS1102_18191.pdf 3 / 18 109% Question 2 [15 marks] The staff union wants to estimate the amount of overtime works (OT) per month of employees in a very large company. Assume the population is normally distributed and based on a previous study, the population standard deviation is 15hr per month. A survey will be conducted to collect the amount of OT works per month in hours. a) How many respondents should the staff union select if they want to estimate the mean hours of OT works per month within lhr with 95% confidence? [5 marks] b) Due to resource limitation, the staff union decided to take a sample of 500 respondents. This yields a mean OT works of 44hrs per month. Construct a 95% confidence interval of the mean of this OT works per month for this very large company. [5 marks] c) The staff union also wants to estimate the proportion of staff who needs to have OT works in a month. In this sample of 500 respondents, 10% of the respondents indicated that they need to work overtime in a month. Construct a 95% confidence interval of the proportion of respondents who need to work OT in a month. [5 marks] Answer: login.html W NG CHI HANG....docx receipt_LUE 100....pdf LUE 1001 writing...pdf image_6487327.JPG Show all XOF S & M O W PP & G (4 S S VA Git B a A GW & G T S GE Box W X u S a:| cl GL A H RE + C a www-library-In-edu-hk.lingnan.idm.oclc.org/sites/default/files/restrict_file/examination/3y/18191/BUS1102_18191.pdf Update : BUS1102_18191.pdf 5 / 18 1 - 109% + Question 3: [16 marks] A local media reported that the average spending on one lunch for university students in HK is HK$53. According to your observations, you suspect that the mean spending of LU students should be lower. In order to confirm your belief, you randomly selected 20 LU students. This group of 20 student has a mean pending on one lunch of HK$51 with a standard deviation of HK$5. Based on the collected data, if you are willing to take a 5% risk of making a type I error, what conclusion will you make after you have conducted a hypothesis test? Support your answer with reasons. (Assuming the spending on one lunch of LU students is normally distributed). Answer: login.html W NG CHI HANG....docx receipt_LUE 100....pdf LUE 1001 writing....pdf image_6487327.JPG Show all XOF S & M O W PP & G (4 S S VA Git B a A GW & GT S GE Box @ W| | a:| cl GL A H RE + C a www-library-In-edu-hk.lingnan.idm.oclc.org/sites/default/files/restrict_file/examination/3y/18191/BUS1102_18191.pdf Update : BUS1102_18191.pdf 6 / 18 109% Question 4: [16 Marks] A pressure group has been monitoring the percentages of monthly donation to charitable organization in HK. It is suspected that the percentage of monthly donation of donors who are in the age group of 25-35 years old has been dropping. Over the years, the percentage of donation generated from this age group has been 27%. A random sample of 100 donors of 25-35 years old was selected. It is found that the percentage of monthly donation for charitable organization in this sample is 24%. Is there enough evidence to conclude that the percentage of monthly donation of 25-35 years old donors in HK has been decreasing? Assuming a 5% significance level is used. Answer: login.html W NG CHI HANG....docx receipt_LUE 100....pdf LUE 1001 writing....pdf image_6487327.JPG Show all X