Researchers check the sodium content in fast food meals. A random sample of n1 = 60 meal purchases at Burger King showed an average sodium level of ?̅ = 1600 mg and standard deviation was ? = 450 mg. Another random sample 11 of n2 = 75 meal purchases at McDonald’s showed that they had an average sodium content of ?̅2 = 1480 mg and standard deviation was ?2 = 600 mg. Do these data indicate that there is a difference in mean sodium content for meal purchases at Burger King and McDonald’s? Set up relevant hypotheses; show that sample sizes are appropriate for this test; calculate a test statistic (write out the formulas you are using), degrees of freedom, and P-value; and put conclusions in context. Round t-statistic to 1 decimal place and p-value to 3 decimal places. Use a significance level of .05. Show work. Hypotheses: Address appropriateness of size: t statistic = degrees of freedom = P-value= Conclusion:
Practice question #10
Researchers check the sodium content in fast food meals. A random sample of n1 = 60 meal purchases at Burger King showed an average sodium level of ?̅ = 1600 mg and standard deviation was ? = 450 mg. Another random sample 11 of n2 = 75 meal purchases at McDonald’s showed that they had an average sodium content of ?̅2 = 1480 mg and standard deviation was ?2 = 600 mg. Do these data indicate that there is a difference in mean sodium content for meal purchases at Burger King and McDonald’s? Set up relevant hypotheses; show that
Hypotheses:
Address appropriateness of size:
t statistic =
degrees of freedom =
P-value=
Conclusion:
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