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 1.85 million households with a sample standard deviation of 0.50 million family units. Over the same 12 months Spotify was used by an average of 2.29 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 0.02, test the hypothesis of no difference in the mean number of households picking either service. Find the degrees of freedom for unequal variance test. (Round down your answer to nearest whole number.) State the decision rule for 0.02 significance level: H0: μApple = μSpotify; H1: μApple ≠ μSpotify. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) Test the hypothesis of no difference in the mean number of households picking either variety of service to download songs. rev: 10_12_2017_QC_CS-102203 Next Visit question map Question 1 of 11 Total1 of 11 Prev
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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 1.85 million households with a sample standard deviation of 0.50 million family units. Over the same 12 months Spotify was used by an average of 2.29 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 0.02, test the hypothesis of no difference in the mean number of households picking either service.
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Find the degrees of freedom for unequal variance test. (Round down your answer to nearest whole number.)
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State the decision rule for 0.02 significance level: H0: μApple = μSpotify; H1: μApple ≠ μSpotify. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
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Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
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Test the hypothesis of no difference in the mean number of households picking either variety of service to download songs.
rev: 10_12_2017_QC_CS-102203
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