A popular music magazine has speculated that the average length of a song on iTunes is 3.75 minutes with a standard deviation of 0.75 minutes. A randomly selected song of a particular new type of music is 5 minutes. Based on this one case, what can you conclude about whether this new type of music is longer than other types of songs on iTunes? (Use the .05 significance level.)
a) Use (and label) the five steps of hypothesis testing.
b) Sketch the distributions involved.
c) Would the conclusion be different if you utilized the .01 level of significance? Why or why not?
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