Please answer for all question

2 BBMEDBIOE 1. Maxis would like to improve their call center service quality and the management has set a goal to the call center's employees to solve customer issues less than 15 minutes. The following sample data contain the time, in minutes, to answer 30 incoming calls to a Maxis helpdesk services call center: 16 12 15 1D 13 5 25 15 9 23 1? 1 1 (3) Construct a frequency table with 5 classes. [7 marks] (b) Compute the sample mean for the data. [5 marks] (c) Calculate the sample variance for the data. [9 marks] (d) Find the sample standard deviation. [3 marks] 2. (a) The following table presents the results of the sample of 1,000 households surveyed in terms of their purchase behaviour for large TVs. Assumed that the first survey was done asking whether the respondents would plan to buy large TVs in the previous month. After one month, the researchers went back to the same respondents and check whether the respondents actually purchased the large TVs. Therefore, the planned behaviour and actual behaviour are dependent on each other. Planned to Actually Purchased Total Purchase Yes No Yes 200 50 250 No 100 650 750 Total 300 700 1000 Based on the table above, draw a tree diagram showing all possible outcomes. (b) Out of 200 numbers of flights departing from Kuala Lumpur International Airport 2 (KLIA 2), 4 departures are delayed. If the delayed departure appears to be Binomial distributed, find the probability for the following cases. (i) Compute the probability that there are THREE delayed departures out of 200 flights. [5 marks] (ii) Compute the probability that there are LESS THAN TWO delayed departures out of 200 flights. [6 marks] A3 BBM203/03 3. (a) In a survey conducted to determine the monthly medical costs in Maybank Berhad, 40 employees were randomly sampled and a sample mean of RM45 was obtained. Assuming that the standard deviation is RM7. (i) Compute the population mean of the medical costs for Maybank Berhad will lie with 90% confidence level. [6 marks] (ii) Compute the population mean of the medical costs for Maybank Berhad will lie with 95% confidence level. [6 marks] (b) McDonald Malaysia claims that the mean weight of each chicken wing is 102 grams. A quality controller suspected that the chicken wings supply from certain companies did not comply with the required weight and send smaller size chicken wings. A random sample of 70 chicken wing gives a sample mean of 100 grams and the sample standard deviation is 5 grams. (i) Based on the study above, write the null and alternative hypotheses. [3 marks] (ii) Calculate the value of the test statistic. [4 marks] (iii) At the 5% significance level, discuss whether McDonald Malaysia's claim supported by the data? [6 marks]