Question```latex
A health organization would like to determine if there is a difference in COVID mean recovery times between individuals who are 30 years old or younger and individuals who are older than 30 years old. The organization randomly selects 45 individuals who are 30 years old or younger who recovered from COVID and 50 individuals who are older than 30 years old who recovered from COVID-19. The table below summarizes the sample results for each group:
\begin{tabular}{|l|l|l|l|}
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& Sample Size & Mean & Standard Deviation \\
\hline
30 years old or younger & 45 & 13 \text{ days} & 15 \text{ days} \\
\hline
Older than 30 years Old & 50 & 3 \text{ days} & 2 \text{ and } 3 \text{ days} \\
\hline
\end{tabular}
Test the claim that there is a difference in COVID mean recovery times between individuals who are 30 years old or younger and individuals who are older than 30 years old at a 5\% significance level.
D. State the null and alternative hypothesis.
E. State the P-value.
F. State your conclusion.
Studdy Solution
State your conclusion based on the P-value.
- If the P-value is less than , reject the null hypothesis.
- If the P-value is greater than , fail to reject the null hypothesis.
Assuming the P-value is very small (as expected with a large t-value like 4.42), we reject the null hypothesis.
Conclusion: There is significant evidence to suggest that there is a difference in COVID mean recovery times between individuals who are 30 years old or younger and individuals who are older than 30 years old.
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