An investor on the Australian Securities Exchange (ASX) wants to check if there is a significant difference in dividend yields between stocks which have market capitals of over one billion dollars and stocks which have market capitals in the range 100 million to one billion dollars. To check, the investor randomly picks samples of stocks and records their dividend yields for the financial year ending in 2020, as given in the following table. Each dividend yield is followed in parentheses by the corresponding ASX code of the company. Use ???? = 0.05 to test if there is a significant difference between the mean dividend yields of these two groups of stocks. Assume normality.

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Dividend yield (%) of stocks each with market capital of over one billion dollars 4.3 (WES) 1.1 (NCM) 3.4 (RIO) 5.9 (WPL) 3.8 (FMG) 4.6 (ORI) 4.6 (AMP) 2.2 (STO) 5.6 (SUN) 5.3 (CCL) 3.4 (IPL) 4.9 (CBA) 3.6 (SHL) 33 (ВНР) 4.2 (LLC) 5.1 (TOL) 3.1 (JHX) 4.8 (MGR) 0.0 (QAN) 5.3 (SVW) Dividend yield (%) of stocks each with market capital between 100 million and one billion dollars 2.3 (ARP) 0.0 (ISU) 5.1 (BKN) 3.0 (GWA) 3.8 (SIP) 2.2 (ENE) 7.2 (SXL) 5.5 (MGX) 8.65 (SDM) 0.0 (APN) 3.5 (CIN) 5.4 (MRM) 5.5 (UXC) 6.3 (HLO) 4.2 (MMS) 0.0 (EWC) 6.3 (WAM) 6.1 (CAB) 0.9 (FNP)