Question: Calculate the standardized test statistic (z) for the following hypothesis test. The samples are random, independent, and from a normally distributed population. Express your answer to 3 decimal places. Claim: \(\mu_{1}=\mu_{2} ; \quad \alpha=0.01\)

Sample statistics: \(\overline{x_{1}}=16 \quad \sigma_{1}=3.4 \quad n_{1}=30\) and \(\overline{x_{2}}=14 \quad \sigma_{2}=1.5 \quad n_{2}=30\)

The standardized test statistic for this hypothesis test is _______________________________

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