(b) Is there a significant relationship between the two variables? Use α = 0.05 for the level of significance.

VI. (20%) A financial adviser wants to compare the mutual fund performance between two countries. 30 mutual funds from each country were randomly selected and the annual return for the funds were collected for the analysis. The descriptive statistics of the two samples are shown below: | | COUNTRY A | COUNTRY B | | --- | --- | --- | | SAMPLE SIZE | 30 | 30 | | SAMPLE MEAN | 16.23 | 15.70 | | STANDARD DEVIATION | 3.52 | 3.31 | Conduct a hypothesis test to test whether the mutual funds from Country A have a higher annual return than the mutual funds from Country B. At the 0.05 level of significance, what is your conclusion? You may use reasonable approximations in your calculation.

(b) Is there a significant relationship between the two variables? Use \(\alpha = 0.05\) for the level of significance.

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