Part 1: A trip to the Rock and Roll Hall of Fame In 2005, the Irish...
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Part 1: A trip to the Rock and Roll Hall of Fame In 2005, the Irish band U2 was inducted into the Rock and Roll Hall of Fame. When we look at the distribution of song lengths, in seconds, across all of U2's albums, we see a distribution that is approximately Normal in shape, with a mean of 263.2 seconds and a standard deviation of 65.1 seconds, as shown below. 263.2 Please use this information to answer Questions I through 8. 393.4 1. The song "Desire" is 178 seconds long. This means "Desire" is at the percentile. 2. The song "The Unforgettable Fire" is 295 seconds long. What percentage of U2 songs have lengths that are greater than (or larger than) 295 seconds? 3. The song "Two Hearts Beat as One" is 240 seconds long. What percentage of U2 songs have lengths that are shorter than (or less than) 240 seconds? 4. The song "So Cruel," which is 349 seconds long, is at the percentile. 5. What percentage of U2 songs are between 178 and 295 seconds long? 6. A U2 song that is at Q in the distribution would be approximately seconds long. 7. The U2 song that cuts off the bottom (or lower) 3% of the distribution is approximately seconds long 8. The U2 song that cuts off the top (or upper) 5% of the distribution is approximately seconds long. Part 1: A trip to the Rock and Roll Hall of Fame In 2005, the Irish band U2 was inducted into the Rock and Roll Hall of Fame. When we look at the distribution of song lengths, in seconds, across all of U2's albums, we see a distribution that is approximately Normal in shape, with a mean of 263.2 seconds and a standard deviation of 65.1 seconds, as shown below. 263.2 Please use this information to answer Questions I through 8. 393.4 1. The song "Desire" is 178 seconds long. This means "Desire" is at the percentile. 2. The song "The Unforgettable Fire" is 295 seconds long. What percentage of U2 songs have lengths that are greater than (or larger than) 295 seconds? 3. The song "Two Hearts Beat as One" is 240 seconds long. What percentage of U2 songs have lengths that are shorter than (or less than) 240 seconds? 4. The song "So Cruel," which is 349 seconds long, is at the percentile. 5. What percentage of U2 songs are between 178 and 295 seconds long? 6. A U2 song that is at Q in the distribution would be approximately seconds long. 7. The U2 song that cuts off the bottom (or lower) 3% of the distribution is approximately seconds long 8. The U2 song that cuts off the top (or upper) 5% of the distribution is approximately seconds long.
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To answer the questions we can use the given mean standard deviation and the properties of the normal distribution Here are the solutions 1 To find the percentile of the song Desire which is 178 secon... View the full answer
Related Book For
Statistics Unlocking The Power Of Data
ISBN: 9780470601877
1st Edition
Authors: Robin H. Lock, Patti Frazer Lock, Kari Lock Morgan, Eric F. Lock, Dennis F. Lock
Posted Date:
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