Medical researchers are interested in determining the relative effectiveness of two drug treatments on patients with a chronic mental illness Treatment 1 has been around for many years while treatment 2 has recently been developed based on the latest research The researchers chose two independent test groups The first group had 14 patients all of whom received treatment 1 and had a mean time until remission of 169 days with a standard deviation of 7 days The second group had 11 patients all of whom received treatment 2 and had a mean time until remission of 161 days with a standard deviation of 5 days Assume that the populations of times until remission for each of the two treatments are normally distributed with equal var ance F Can we conclude at the 0 01 level of significance that the mean number of days until remission after treatment 1 is greater than the mean number of days until remission after treatment 2 Perform a one tailed test Then complete the parts below Carry your intermediate computations to three or more decimal places and round your answers as specified in the table If necessary consult a list of formulas a State the null hypothesis Ho and the alternative hypothesis H Ho O H 0 b Determine the type of test statistic to use Choose one c Find the value of the test statistic Round to three or more decimal places 0 d Find the p value Round to three or more decimal places 0 e Can we conclude that the mean number of days before remission after treatment 1 is greater than the mean number of days before remission after treatment 2 P xl O S X 0 0 0 0 P p 0 0 OSO 020 ola 0