Question

Sara is a big hip-hop music fan. Her friend Matt is a big rap music fan. They each have a huge Ibrary of songs in their detal music baries. They each randomly sample so songs from the Ibraries and record the lengths of the songs selected. The average of the selected hip hop songs was X 235 seconds with a sample standard deviation of 4 seconds. The average of the selected rap songs was X, - 240 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? Они на «о NM - My > 0 OH: M-20 NiMH 0 O No: 2 = 0 "Mi H2 = 0 Оно" . - На чо Ma Mị - Ma < 0 (b) Calculate the test statistic. (Round your answer to two decimal places.) (c) Assume for purposes of this study, the degrees of freedom are 80. At a 5% significance level, what is the critical value for the test? (Round your answer to two decimal places. Just give the value of the critical value, no negative or positive sign)

Answer 1