Ten subjects, all homeless, are exposed to the Ebola-Shiva virus. Five are not t

Question

Ten subjects, all homeless, are exposed to the Ebola-Shiva virus. Five are not treated with any type of antibiotics. Five are treated with the antibiotics to treat a viral infection.
The number of days for the patients to display symptoms related to the Ebola-Shiva virus are listed below.
Untreated: 37, 42, 31, 29, 49
Treated: 49, 55, 79, 62, 68
2) Test the following claims about the mean and standard deviation of the untreated group. Use a 0.05 level of significance.
A) It will take 30 days to display symptoms of the Ebola-Shiva virus.
Step 1: Write hypothesis
H0: U
H1: U   Step 2: Gather data and identify type of test
Step 3: Find the P-value and test statistic using TI.
Step 4: Test hypothesis and state conclusion
B) The Ebola-Shiva virus will have a standard deviation of less than 7 days to display symptoms.
Step 1: Write hypothesis
H0: O
H1: O
Step 2: Gather data and identify type of test and critical value(s).   Step 3: Find 2 and P-Value.
Step 4: Test hypothesis and state conclusion
3. Test the following claims about the mean and standard deviation of the treated group. Use a 0.05 level of significance.
It will take more than 30 days to display symptoms of the Ebola-Shiva virus.
Step 1: Write hypothesis
H0: U
H1: U
Step 2: Gather data and identify type of test.
Step 3: Find the P-Value and the test statistic using the TI
Step 4: Test hypothesis and state conclusion
B) The Ebola-Shiva virus will have a standard deviation of more than 7 days to display symptoms. Use a 0.05 significance level.
Step 1: Write hypothesis
Ho: O
H1: O
Step 2: Gather data and identify type of test and critical value(s).
Step 3: Find 2 and P-Value
Step 4: Test hypothesis and state conclusion

Explanation / Answer

Null hypothesis: There is no significant diference between two sample means with respect to days shown symtoms of virus.

Alternative hypothesis: There is a significant diference between two sample means with respect to days shown symtoms of virus.

the t test statistic for the two means is t = 3.6428 and df -4

the p value is 0.0219

we conclude that there is a significant difference bewteen two sample means

thanks

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