A popular music magazine has speculated that the average length of a song on one of today's popular CDs is 3.75 minutes with a standard deviation of .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 popular songs in general? (Use the .05 level.)
a. Use the five steps of hypothesis testing.
b. Sketch the distributions involved.
c. Explain the logic of what you did (be sure your explanation includes the overall logic of hypothesis testing, including each of the five steps).
d. Would the conclusion be different if you utilized the .01 level of significance?

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The Answer of A popular music magazine has speculated that the average length of a song on one of today's popular CDs is 3.75 minutes with a standard deviation of .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 popular songs in general? (Use the .05 level.)
a. Use the five steps of hypothesis testing.
b. Sketch the distributions involved.
c. Explain the logic of what you did (be sure your explanation includes the overall logic of hypothesis testing, including each of the five steps).
d. Would the conclusion be different if you utilized the .01 level of significance?

A Popular Music Magazine Has Speculated That the Average Length