SOLUTION: Calculate the p-value of the test to determine that there is sufficient evidence to infer each research objective.
Research objective: The population mean is greater than 0.
σ
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Question 1196806: Calculate the p-value of the test to determine that there is sufficient evidence to infer each research objective.
Research objective: The population mean is greater than 0.
σ=10, n=100, x-bar= 1.5
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the research objective is that the population mean is greater than 0.
the null assumption is therefore that the population mean is not greater than 0.
the sample mean is 1.5
the sample size = 100
the sample standard deviation is 10
the standard error = standard deviation / sqrt(sample size) = 10/10 = 1
t-score = (x - m) / s = (1.5 - 0) / 1 = 1.5
p-value to the right of this t-score at 99 degrees of freedom (sample size - 1) = .064.
the results are not significant at right tailed alpha of .05 because the test alpha is greater than that.
alternate hypothesis that population mean is greater than 1.5 is therefore rejected.
the results from the t-test calculator at https://www.statskingdom.com/130MeanT1.html confirm this.
see below:
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