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Ch 11: Assignment - Introduction to Hypothesis Testing 4. Determining the value of the sample mean just large enough to reject the null Consider a normally distributed random variable X, with a standard deviation 0 = 3. Suppose you are interested in testing the following. Ho: p $225,H1: p >225 Use the Distributions tool to help you answer the questions that follow. Standard Normal DIstrIbutIan Mean = 0'0 Standard Deviation = 10 You use a random sample of size n = 36 and a significance level of a = 0.05. What value of y is just large enough to reject the null hypothesis? O 263.24 O 1.645 165.32 O 225.82 The mean of your actual sample is x= 220.00. Therefore, you V the null hypothesis and V infer that u > 225