Perform a two-tailed test. Then fill out the table. Please refer to the attachement to complete.

A new sleeping pill is advertised to increase the daily sleeping time of insomniacs by an average ot 2.8 hours, with a variance of 0.19. 2 government group conducts an independent study on the new pill, claiming that the actual variance, 0' , of increase in sleeping time is different from the advertised variance. The government group tests 15 insomniacs, chosen at random, with new pill. The insomniacs report a mean daily sleeping increase of 2.9 hours, with a variance of 0.39. Is there enough evidence to conclude, at the 0.05 level of significance, that the government group is correct? Assume that the increase in the sleeping time provided by the new pill is normally distributed. Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: The alternative hypothesis: The type of test statistic: (Choose one) C The value of the test statistic: (Round to at least three decimal places.) The two critical values at the 0.05 level of signicance: (Round to at least three decimal Can we support the claim that the variance of increase in sleeping time using the new pill is different from the one advertised