The General Social Survey polled a sample of 1056 adults in the year 2015, asking them how many hours per week they spent on social media. The sample mean was 4.52 hours with a standard deviation of 3.61 hours. The survey was polled again in the year 2019, a sample of 2048 adults has the sample mean of 5.28 with a standard deviation of 4.36. Can we conclude that the mean number of hours per week spent on social media increased between 2015 and 2019?

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The General Social Survey polled a sample of 1056 adults in the year 2015, asking them how many hours per week they spent on social media. The sample mean was 4.52 hours with a standard deviation of 3.61 hours. The survey was polled again in the year 2019, a sample of 2048 adults has the sample mean of 5.28 with a standard deviation of 4.36. Can we conclude that the mean number of hours per week spent on social media increased between 2015 and 2019?

Expert Solution
Step 1

From the provided information,

Statistics homework question answer, step 1, image 1

Step 2

The hypotheses can be constructed as:

H0: µ1 = µ2

H1: µ1 < µ2

The pooled standard deviation can be obtained as:

Statistics homework question answer, step 2, image 1

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