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3. You wish to test the following claim (Ha) at a significance level of a = 0.001. Hazy = 90.2 Hazy > 90.2 You believe

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You wish to test the following claim (Ha) at a significance level of a = 0.001. Hazy = 90.2 Hazy > 90.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 474 with a mean of M = 91.8 and a standard deviation of SD = 17.7. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = C] What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = C] The test statistic is... A in the critical region A not in the critical region This test statistic leads to a decision to... A reject the null A accept the null A fail to reject the null As such, the final conclusion is that... A There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 90.2. A There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 90.2. A The sample data support the claim that the population mean is greater than 90.2. A There is not sufficient sample evidence to support the claim that the population mean is greater than 90.2. You wish to test the following claim (H a) at a significance level of a = 0.02. H04. = 89.5 Hum 72 89.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 346 with mean 5: = 90.9 and a standard deviation of s = 7.9. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = [3 What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = C] The p-value is... A less than (or equal to) a A greater than a This test statistic leads to a decision to... A reject the null A accept the null A fail to reject the null As such, the final conclusion is that... A There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.5. A There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.5. A The sample data support the claim that the population mean is not equal to 89.5. A There is not sufficient sample evidence to support the claim that the population mean is not equal to 89.5

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