A group of university students collect a random sample of 10 cans ofWhite Lightning Colafrom stores around Norway. According to the packaging, each container is supposed to contain 330 ml of soda. The amount of soda, measured in milliliters, in each of the 10 cans can be found in the table below:

i. 1 2 3 4 5 6 7 8 9 10

volume: 331 329 328 328 328 329 331 329 328 329

a)Find the sample mean and sample variance of the sample.

Test at a 10% level of significance whether the mean content of a can of White Lightning Cola is less than 330 ml. Assume that the amount of soda in a randomly selected can is normally distributed.

b)State necessary assumptions, hypotheses and the test variable.

c)State the critical value and decision rule.

d)Calculate the test statistic and draw conclusion.