Question

The following table shows data on average per capita (per person) wine consumption and heart disease rate in a random sample of 10 countries.

Yearly wine consumption in liters	Death from heart disease
2.5	221
3.9	167
2.9	131
2.4	191
2.9	220
0.8	297
9.1	71
2.7	172
0.8	211
0.7	300

1. Compute a correlation coefficient (r) between these two variables and interpret it.

2. H0 and Ha hypothesis

3.t statistic

4. p value

5.Does the data provide convincing evidence that there is a linear relationship between the
amount of alcohol consumed and the heart disease death rate? Carry out an
appropriate test at a significance level of 0.05.

6.The collaborative study of 479 children found that babies younger than 2 years old who slept with a light on were at increased risk of developing myopia - nearsightedness - later in childhood (published in the May 13, 1999, issue of Nature, see the table below).

Expose to light before age 2	% nearsighted between age 2-16
slept in darkness	10%
night light in bedroom	34%
room light in bedroom	55%

Was it reasonable conclusion? Choose either Yes or No and then explain statistical grounds. (Hint: after the publication of this study, there were many other studies on this issue. One of them was about a strong link between nearsighted parents and nearsighted children.)

Answer 1

1) Let X denotes the yearly wine consumption in litres and Y denotes the death .