A financial analyst is comparing the performance of two investment portfolios, Portfolio A and Portfolio B. The analyst collects data on the annual returns of both portfolios for the past five years and wants to determine if there is a significant difference in the mean annual returns of the two portfolios. The data is summarized in the following table:

Portfolio	Sample size	Sample mean	Sample standard deviation
A	5	10.2%	2.3%
B	5	8.8%	1.8%

Assuming that the annual returns of both portfolios follow a normal distribution, perform a hypothesis test to determine if there is a significant difference in the mean annual returns of the two portfolios at a 5% level of significance. Show all calculations and clearly state your conclusion.

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