As a researcher, I want to test a hypothesis that the population mean is less than 125. I collect some sample data. The sample contains

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1. As a researcher, I want to test a hypothesis that the population mean is less than 125. I collect some sample data. The sample contains 100 items. I find that the sample mean is 120 and the sample standard deviation is 20.
   1. Perform a test of hypothesis at a significance level of 0.10
   2. Perform a test of hypothesis at a significance level of 0.05
   3. Perform a test of hypothesis at a significance level of 0.01

For each of the above parts, state the null and the alternate hypothesis.State the rejection region in terms of standardized values. Find the test statistic value. Find the p-value. State your decision using the critical value approach and express your reason for your decision. Also state your decision using the p-value approach and again, express the reason for your decision. Use the Hypothesis Testing template, work out the complete solution with all the steps with explanations in Excel with Excel functions and formulas ONLY.