1) Test the claim that the treatment population has a smaller mean than the placebo population, using the α=0.01 significance level and assuming that the populations are normally distributed. Set...

1) Test the claim that the treatment population has a smaller mean than the placebo population, using the α=0.01 significance level and assuming that the populations are normally distributed. Set things up in terms of (treatment group)-(placebo group). Treatment group: n=5, x=69, s=5.6. Placebo group: n=10, x=78, s=5.3. (a) The test statistic is (give at least three digits after the decimal point). (b) What is the conservative estimate for the degrees of freedom? df = (c) The P-value is (give at least three digits after the decimal point). (e) Is there sufficient evidence to warrant the rejection of the claim that the treatment and placebo populations have the same mean?