Description

This BUS105 TOA has solutions on the following:

A study by the ministry of manpower found that the median monthly salary of a woman in full time work was 16.3 percent less than a man in full time work in 2018. Jerry a student at suss would like to understand whether this is consistent with his observation. He collected a sample of annual salary data from online survey distributed through various social media platform.

State the values of three measures of location and three measures of dispersion for annual salaries of both male and female workers in the sample. Explain which of the three location measures is the most appropriate.

• Interpret the results to examine gender gap in annual salaries in 2021.

Describe the interquartile range and explain whether there are outliers in both male and female samples.

Question 2

1. a) a tennis match requires that a player win three of five sets to win the match. If a player wins the first two sets, what is the probability that the player wins the match, assuming that the player has a 80% chance to win each set? Binomial distribution
2. Question 2 b. The mean amount of time students spend per week on the learning system is 5.4 hrs. Assume the spent per week on the learning system follows the normal distribution with a standard deviation of 1.6 hrs. (using the TI-84 calculator)

   (i) Identify the share of students who spend less than 5 hrs per week on the learning system

3. (iii)  the teaching and learning center built a forecasting model. To test the validity of the model, they select a random sample of 49 students. What is the probability that the mean time this group of students spends on the learning system per week is less than 5 hrs?
4. According to the ninth world happiness report 2021 compiled by the Gallop World Poll team, Singapore is the happiest country in Southeast Asia followed by Thailand. To understand how happiness is associated with age, gender, and health, Mr Tan surveyed 114 people in Singapore, and collected data on happiness, age, gender, and self-reported health. Table 4-1 shows the variable names and notes. Table 4-2 shows the regression output obtained using The linear equation that shows the relationship between happiness and age,gender and health is given by:
5. QUESTION 4 (B): Mr tan wants to Estimate the average happiness level of a man aged 40 with good health. What is your estimate of the average happiness level of this group of people?