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