Snow totals at 2 Stations with different elevations The table below contains observations of ten snowfall events (in feet) at two locations (high and low elevations). Event # High elevation Station A Low elevation Station B 1 57.60 31.50 2 45.65 29.35 3 38.50 22.35 32.75 20.85 31.95 18.35 28.50 11.50 27.65 10.95 26.80 10.15 25.25 8.75 10 23.75 7.45 The Sample Means and SDs are as follows: High Elevation Station A: Mean of 33.84, SD of 10.66 Low Elevation Station B: Mean of 17.12, SD of 8.70 1) Perform a two-sample t-test (for independent samples) on this data set to evaluate whether snow totals are significantly greater at the higher elevation station. 2) Is this a one-tailed OR two-tailed test? Explain. 3) State your null and research/alternate hypotheses. 4) Find the degrees of freedom. What are your t-critical values at the 5% and 1% levels? Test these hypotheses at BOTH the 5% and 1% significance level What is your calculated t-value? 5) State your conclusion at the 5% level Include statements about whether you rejected or failed to reject your Null hypothesis etc. Is there a statistically significant increase in snowfall at the higher elevation station at the 5% level? 6) State your conclusion at the 1% level. Include statements about whether you rejected or failed to reject your Null hypothesis etc. Is there a statistically significant increase in snowfall at the higher elevation station at the 1% level