A simple random sample of 50 measurements is taken from a population whose standard deviation is known to be 10. Assume that the sample is large enough for the Central Limit Theorem to apply. We are testing a null hypothesis that the population mean is 60 against the alternative that it is not equal to 60, using a significance level of a = 0.05. The sample mean is 63. What do you conclude? (a) conclude that the population mean could be 60 because the P-value is less than 0.05 (b) conclude that the population mean is not 60 because the P-value is between 0.025 and 0.05 (c) conclude that the population mean is not 60 because the P-value is less than 0.01 (d) conclude that the population mean is not 60 because the P-value is bet ween 0.01 and 0.025 (e) conclude that the population mean could be 60 because the P-value is greater than 0.05
A simple random sample of 50 measurements is taken from a population whose standard deviation is known to be 10. Assume that the sample is large enough for the Central Limit Theorem to apply. We are testing a null hypothesis that the population
(a) conclude that the population mean could be 60 because the P-value is less than 0.05
(b) conclude that the population mean is not 60 because the P-value is between 0.025 and 0.05
(c) conclude that the population mean is not 60 because the P-value is less than 0.01
(d) conclude that the population mean is not 60 because the P-value is bet ween 0.01 and 0.025
(e) conclude that the population mean could be 60 because the P-value is greater than 0.05
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