1)Does your favorite genre of metal predict your prowess at zombie-killing computer games? Dr. Levine attended a glam metal show, and convinced 26 attendees to play a zombie computer game - they had an average of 54.65 kills, with a standard deviation of 5.98. Afterwards, Dr. Levine attended a death metal show and had 30 attendees play the same game - they had an average of 57.82 kills, with a standard deviation of 5.01. Based on these data, are glam metal fans worse at the game? Assume an alpha level of .001.

a.Write the null and research hypotheses, both in symbols and full sentences. Specify whether this is a one-tailed or two-tailed test. (0.25pt)

b.Calculate the t-score. Be sure to show your work. (0.5pt)

c.Estimate the p-value, and compare it with . Are your results significant?

(Note: you do not need to provide a full interpretation!). (0.25pt)