II. (15%) A news article reports that, according to their survey, consumers spend, on average, NT$3000 per month on soft drinks. The article states that the standard error of the mean is $20. Suppose the population standard deviation is $500. (a) How large was the sample used in the study?

V. (20%) A teacher wants to investigate whether the distance (kilometers) between home and school for the students affect the number of days that students are absent per semester. Here is the output of the regression table estimated by the researcher: | Coefficients: | | | | | | | --- | --- | --- | --- | --- | --- | | | Estimate | Std. Error | t value | | | | (Intercept) | 8.09783 | 0.80882 | 10.012 | | | | x | -0.34420 | 0.07761 | -4.435 | | | | Analysis of Variance | | | | | | | SOURCE | DF | SS | MS | F | p-value | | Regression | 1 | 32.699 | 32.699 | 19.67 | 0.002 | | Residual Error | 8 | 13.301 | 1.663 | | | | Total | 9 | 46.000 | | | | (a) Use days to denote the number of days that students are absent and use distance to denote the distance between student's home and school. What is the least squares regression model estimated by the researcher? What is the sample size?

II. (15%) A news article reports that, according to their survey, consumers spend, on average, NT$3000 per month on soft drinks. The article states that the standard error of the mean is $20. Suppose the population standard deviation is $500.

(a) How large was the sample used in the study?

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