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The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. Test H_(0):mu=9 vs H_(a):mu!=9 when the sample has n=80, bar(x)=11.2, and s=0.88 with SE=0.10. Find the value of the standardized z-test statistic. Round your answer to two decimal places.

The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution.\newlineTest H0:μ=9 \boldsymbol{H}_{0}: \mu=9 vs Ha:μ≠9 \boldsymbol{H}_{a}: \mu \neq 9 when the sample has n=80,x‾=11.2 n=80, \overline{\boldsymbol{x}}=11.2 , and s=0.88 s=0.88 with SE=0.10 S E=0.10 .\newlineFind the value of the standardized z z -test statistic.\newlineRound your answer to two decimal places.

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Q. The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution.\newlineTest H0:μ=9 \boldsymbol{H}_{0}: \mu=9 vs Ha:μ≠9 \boldsymbol{H}_{a}: \mu \neq 9 when the sample has n=80,x‾=11.2 n=80, \overline{\boldsymbol{x}}=11.2 , and s=0.88 s=0.88 with SE=0.10 S E=0.10 .\newlineFind the value of the standardized z z -test statistic.\newlineRound your answer to two decimal places.
  1. Identify formula for z-test: Step 11: Identify the formula for the z-test statistic.\newlineThe z-test statistic is calculated using the formula: z=(xˉ−μ)/SEz = (\bar{x} - \mu) / \text{SE}.\newlineHere, xˉ\bar{x} is the sample mean, μ\mu is the population mean under the null hypothesis, and SE\text{SE} is the standard error of the mean.
  2. Plug in values: Step 22: Plug in the values into the formula.\newlineGiven values are xˉ=11.2\bar{x} = 11.2, μ=9\mu = 9, and SE=0.10SE = 0.10.\newlineCalculation: z=11.2−90.10z = \frac{11.2 - 9}{0.10}.
  3. Perform calculation: Step 33: Perform the calculation to find the z-value. z=11.2−90.10=220.10=220z = \frac{11.2 - 9}{0.10} = \frac{22}{0.10} = 220.

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