This is statictic for business and social sciences STA404

QUESTION 1 (5 marks) The gym owner wants to investigate the duration taken by all his customers who have reduced their 5 Kg of weight. He chooses all regular customers who wear Adidas sports shoes as his sample. The respondents have to answer all the questions in the first section, consisting of the demographic profile such as gender, age, hometown, income, and marital status, while only specific questions in the second section.

i) State the sample and sampling frame for the above study. (2 marks)

ii) What is the scale of measurement for the variable of interest in this study? (1 mark)

iii) What is the sampling technique used in this study? (1 mark)

iv) What is the method used by the gym owner to collect the data from his respondents? (1 mark)

QUESTION 2 (5 marks)

The following data shows the frequency of sellers updating a new WhatsApp status promoting their product last month.

30 28 21 15 23 21 27 28 21 19 23 27 28 17 18

25 28 30 30 29 28 26 22 30 29 28 27 26 25 20

i) On average, how frequent are the sellers updating their status promoting their product last month? (1 mark)

ii) Find a 90% confidence interval for a mean. (4 marks