Math  /  Data & Statistics

Questionhe U.S. Department of Health has suggested that a healthy total cholesterol measurement should be 200mgdL200 \frac{\mathrm{mg}}{\mathrm{dL}} or less. Records from 50 randomly and independently selected eople from a study conducted by the agency showed the results in the technology output given below. Test the hypothesis that the mean cholesterol level is more than 200 using a ignificance level of 0.05 . Assume that conditions are met.
One-Sample T Test of μ=200\mu=200 vs >200>200 \begin{tabular}{rrrrcc} N & Mean & StDev & SE Mean & T & P \\ 50 & 208.17 & 40.78 & 5.77 & 1.42 & 0.081 \\ \hline \end{tabular}
Determine the null and alternative hypotheses. Choose the correct answer below. A. H0:μ=200H_{0}: \mu=200 B. H0:μ=200H_{0}: \mu=200 C. H0:μ<200H_{0}: \mu<200 Ha:μ>200H_{a}: \mu>200 Ha:μ200\mathrm{H}_{\mathrm{a}}: \mu \neq 200 Ha:μ200H_{a}: \mu \geq 200 D. H0:μ>200H_{0}: \mu>200 E. H0:μ=200H_{0}: \mu=200 F. H0:μ200H_{0}: \mu \neq 200 H. . 1 < mn H. . 1 < 20n20 n H. "=2mn"=2 \mathrm{mn} (1) Time Remaining: 01:25:23 Next

Studdy Solution
The correct answer is A.
We fail to reject the null hypothesis (H0:μ=200H_0: \mu = 200) because our p-value (0.0810.081) is greater than our significance level (0.050.05).

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