2. The country wise spread of COVID-19 depends upon various factors. Consider India

as a representative country. We want to understand how dierent is India with the

world average. [download data from Our World In Data's Coronavirus data source,

which is updated daily and is freely available.]

(a) First, calculate the average daily conrmed COVID-19 cases for the world and

India, during the sample period given. It would help plotting the trends for India

and the world. You must specify the null and the alternative hypothesis.

(b) Second, formulate a hypothesis which compares India's daily average conrmed

COVID-19 cases to that of the world.

(c) Third, Assume that your test is one in which population mean, is based on

world population. Calculate the p-values for your hypothesis.

(d) Fourth, What can you claim about your null hypothesis at = 0:05? What is

your conclusion? Repeat the preceding hypothesis test using the critical value

approach.

(e) Fifth, Assume that your test is one in which population mean, is based on

India's standard deviation in the sample i.e. s. Calculate the p-values for your

hypothesis. What can you claim about your null hypothesis at = 0:05? What

is your conclusion? Repeat the preceding hypothesis test using the critical value

approach.