## Related questions with answers

Music streaming services are the most popular way to listen to music. Data gathered over the last 12 months show Apple Music was used by an average of 1.65 million households with a sample standard deviation of 0.56 million family units. Over the same 12 months Spotify was used by an average of 2.2 million families with a sample standard deviation of 0.30 million. Assume the population standard deviations are not the same. Using a significance level of .05, test the hypothesis of no difference in the mean number of households picking either service.

Solution

VerifiedWe are given two samples.

The first sample from a Apple population has size $n_1=12$, the mean of the sample is $\bar x_1=1.65$, sample standard deviation is $s_1=0.56$.

The second sample from a Spotify population has size $n_2=12$, the mean of the sample is $\bar x_2=2.2$, sample standard deviation is $s_2=0.3$.

We need to conclude if the Apple population mean is equal to the Spotify population mean.

To solve this problem we are going to apply **six-step hypothesis-testing procedure**.

*How can we state the null hypothesis and alternate hypothesis?*

*Which test statistics we are going to use?*

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