Reference no: EM132580714

In March 2016, it was reported that key American brands had experienced a decrease in interactions with Instagram posts from 4.96 interactions at the end of 2014 to 3.10 interactions by the end of 2015. With consistent samples sizes of 10,000 in December 2014 and also in December 2015, the sample standard deviations were 37 interactions for 2014 and 28 interactions in 2015. Julian Gottke, writing for Quintly, seemed to indicate that the decrease from 4.96 interactions to 3.10 interactions was not a big deal. To test whether this decrease was statistically significant, a one-tail hypothesis test of the means of two independent populations using the t statistic was ordered.

Use a one-tail hypothesis test to answer the specific question posed above. Please use clearly either 6-step or 5-step hypothesis testing for comparing the means of the two independent populations.

At a level of significance of 0.05, was this decrease in interactions statistically significant using a one-tail hypothesis test (comparing the means of two independent populations)?

Please show a full set of 5- or 6- step two-sample, one-tail hypothesis testing.