A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Use a 0.05 significance level for both parts. What is the test statistic t? (round to two decimal places), What is the p- value? ( round to three decimal places), state the conclusion for the test?, Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean ? < mean1 -mean 2 < ?

Treatment Placebo

mean mean₁ mean₂

n 25 38

xbar 2.37 2.65

s .99 .65