The mean length of all 282 songs taken off a band\'s albums/CDs was 4.07 minutes
ID: 3291012 • Letter: T
Question
The mean length of all 282 songs taken off a band's albums/CDs was 4.07 minutes, with a standard deviation of 0.63 minutes. The distribution of song length is right-skewed. The program manager of a radio station wishes to play an uninterrupted block of the band's songs using a random sample of 26 songs from these 282. He finds the mean length of the 26 songs to be 3.89 minutes and the standard deviation of the 26 songs to be 0.67. Complete parts a
a. From the problem statement, which of the values 4.07, 0.63, 3.89, and 0.67 are parameters and which are statistics?
The value 4.07 is a ______
The value 0.63 is a ______
The value 3.89 is a ______
The value 0.67 is a ______
Explanation / Answer
Parameters are those measurements that provide the summary of entire population while sample statistics are the numbers that summarize data from a sample.
In our question statement:
The population consists of all 282 songs taken off a band's albums/CDs. The mean length of all these songs was 4.07 minutes with a standard deviation of 0.63 minutes.
Out of this population, a random sample of 26 songs is taken. The mean length of these sample 26 songs is 3.89 minutes and the standard deviation of the sample 26 songs is 0.67
Hence,
The value 4.07 is a __Parameter____
The value 0.63 is a __Parameter____
The value 3.89 is a __Statistic___
The value 0.67 is a ___Statistic___
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