In: Statistics and Probability
I need to have this done within 1 hour and a half. Thank YOU!:)
17. Minnesota Department of Health wants to test the claim that variability in COVID-19 within Minnesota is greater than 12.75. For this, they took a sample of 25 days data and found that the mean is 215 and standard deviation was 14.17. At alpha=5% what will be the decision?
Question 17 options:
Reject H0 at alpha =5% |
|
Do not reject H0 at alpha=5% |
|
We do not have enough information to make decision |
21. To test the claim that mean weight is not equal to 156.3 lbs., a sample of 14 people showed that the sample mean was 172.55 and the sample standard deviation (s) was found to be 26.33 lbs. Find the p value for this test (note that population standard deviation sigma is unknown so that this is t-test).
Question 21 options:
6.2% |
|
1.9% |
|
3.8% |
|
4.4% |
|
2.6% |
Solution:
17) Given
n= 25 sample size
population variance
. Sample mean
s = 14.17 sample standard deviations
. Level of significance.
To test the hypothesis
.
Vs.
Test statistic
Test statistic
P Value = 0.196832 from online P value calculator
P Value = 0.1968
Decision : P Value
Fail to reject Ho.
Do not reject Ho at
Conclusion : Fail to reject Ho ,. there is insufficient evidence to conclude that the variability in covid 19 within mineseta is greater than 12.75
21) Given that
n= 14 sample size
lbs population mean.
.lbs Sample mean .
s = 26.33 lbs Sample Standard deviations.
To test the hypothesis
Test statistic
t = 2.3092264
Test statistic t = 2.3092
P Value = 0.038004 from online P value calculator
P Value = 3.8%
3.8 % is the correct option