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sara is a big hip-hop music fan. her friend matt is a big rap music fan. they each have a huge library of songs in their digital music libraries. they each randomly sample 50 songs from their libraries and record the lengths of the songs selected. the average of the selected hip-hop songs was
x1 = 230
seconds with a sample standard deviation of 4 seconds. the average of the selected rap songs was
x2 = 255
seconds with a sample standard deviation of 6 seconds. they would like to know if the average length of hip-hop songs is different than the average length of rap songs.
(a)
what are the appropriate null and alternative hypotheses for this test?
h0: μ1 − μ2 < 0
ha: μ1 − μ2 > 0
h0: μ1 − μ2 = 0
ha: μ1 − μ2 > 0
h0: μ1 − μ2 = 0
ha: μ1 − μ2