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From the albums available on Spotify, it was determined that Megan thee Stallion's song lengths had a mean of 176.74 seconds and a standard deviation of 7.54 seconds. Suppose a random sample of 4 songs were taken out of her 47 released songs.
a) What is the probability that a SRS of 4 songs would contain an average that exceeded 185 seconds?
b) Name a potential drawback to the small sample size of only 4 songs?
The song Savage (Remix) by Megan thee Stallion featuring Beyonce swept the nation with its rhythm and lyrics that transcended age, had a song length of 242 seconds.
c) Compared to her other songs, does this song alone provide convincing evidence that the true average amount of seconds of her songs exceed Spotify's claim?
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