A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 25 of them were given multivitamin tablets daily which contain 3 grams of vitamin C and various other vitamins and minerals. The remaining 25 volunteers were given placebo tablets. For each individual, the length oi time taken to recover from cold is recorded. At the end of the experiment following data are obtained: _ ..,...,............... 4.7, 5.6, 4.1, 7.2, 5.5, 1.7, 4.2, 5.0, 7.1, 6.9, 5.8, 2.4, 7.1, 9.5, 5.0, 5.1, 5.5, 5.9, 4.6, 3.3, 3.3, 7.7, 4.8, 6.4, Treated with multivitamin 4_9 3.8, 4.5, 4.5, 6.6, 5.2, 3.9, 3.3, 4.5, 4.0, 5.3, 6.7, 6.4, 7.6, 4.5, 7.9, 6.5, 6.1, 2.4, 5.4, 3.1, 3.4, 4.6, 6.0, 5.9, Treated with placebo 23 ' Send data Bk toExcel It is known that the population standard deviation of recovery time from cold is 1.8 days when treated with multivitamin, and the population standard deviation of recovery time from cold is 1.5 days when treated with placebo tablets. It is also known that both populations are appr0ximately normally distributed. The researchers claim that the mean recovery time, H1 , of the patients treated with multivitamin is not equal to the mean recovery time F2, of the patients who are treated with placebo tablets. At the 0.1 level of significance, is there enough evidence to support this claim? 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: (Choose one) : The type of test statistic: The value of the test statistic: (Round to at least three decimal places.) The two critical values at the 0.1 level of signicance: (Round to at least three decimal places.) Can we suppoxt the researchels' claim that the mean recovery time when treated with multivitamin is not equal to the mean recovery time when heated with piacebo? mm