Question

In: Statistics and Probability

A marketing company for the Music Industry wanted to see if there was a relationship between...

  • A marketing company for the Music Industry wanted to see if there was a relationship between listening to music and ACT Scores. After polling if ACT takers for frequency of listening to music. They wanted to compare the ACT score of 269 frequent music listeners with the population mean for the ACT to see if there is a statistically significant difference. The ACT population mean is 21.51 with a standard deviation of 5.319. The 269 frequent music listeners had a mean ACT score of 21.32.
  • State the null and alternative hypotheses:
  • Calculate the z-statistic (Zo):
  • Should you reject or fail to reject the null hypothesis and why if your level of significance is .05 (α = .05)?
  • Why?
  • What does this mean?

Solutions

Expert Solution

Answer:

Let denotes the population mean for the ACT of frequent music listeners.

So, there is no statistically significant difference.

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orchestra answered 1 year ago
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