Question 1 A bank offers three types of welcoming gifts to VISA card applicants. Gift A: $400 supermarket coupon Gift B: a 2-persons tea set voucher Gift C: 8 sets of movie tickets Based on the table below, construct a 95% confidence interval estimate of the population proportion of applicants choose $400 supermarket coupon. The choice made by a random sample of 40 applicants is as follow: В A В C A A C A B A A В A C В B A A В A В A В A C A A A A A В A A B Question 2 In a city, according to a 1990 demographic report based on the census result, the average daily spending on food per person is $75. In 2020, a random sample of 28 persons in the same city is selected and the daily spending ($) on food for each interviewee is recorded as follow: 55.0 59.5 62.5 65.5 68.5 69.0 70.0 70.0 82.0 82.5 83.5 85.0 86.0 86.5 86.5 87.0 87.0 87.0 89.0 92.5 93.0 94.5 94.5 96.0 98.0 102.5 108.5 110.5 (a) Find the point estimate for the population mean daily spending on food per person in year 2020. (b) It is assumed that the spending is normally distributed. Construct a 90% confidence interval estimate for the population mean daily spending on food per person in year 2020. (c) Is there sufficient evidence to conclude that the population mean daily spending on food per person in 2020 is higher than 1990? Test at 1% level of significance. (State clearly the null hypothesis, alternatively hypothesis, rejection region, test statistics and conclusion.) ABACA

Equations and inequalities describe the relationship between two mathematical expressions.

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.