In: Statistics and Probability
On March 29th the number of confirmed cases of the Covid-19 per state was obtained from the internet. A random number generator was used to get the sample data on the sheet named Sample data
What is the lower boundary on the 95% confidence interval for the whole number average of confirmed Covid 19 cases in the country?
What is the upper boundary on the 95% confidence interval for the whole number average of confirmed Covid 19 cases in the country?
The actual number of mean confirmed covid-19 cases in the United States is 2580. Did your confidence interval capture the mean? Why or why not?
Sample Data
State Cases |
760 |
90 |
1,119 |
108 |
1653 |
154 |
2651 |
294 |
759 |
265 |
429 |
1,092 |
718 |
548 |
56 |
919 |
149 |
738 |
3,540 |
3,407 |
2,651 |
3,491 |
342 |
2,651 |
760 |
4,257 |
5,733 |
214 |
760 |
660 |
What is the lower boundary on the 95% confidence interval for the whole number average of confirmed Covid 19 cases in the country?
The lower boundary on the 95% confidence interval is 815.
What is the upper boundary on the 95% confidence interval for the whole number average of confirmed Covid 19 cases in the country?
The upper boundary on the 95% confidence interval is 1,917.
The actual number of mean confirmed covid-19 cases in the United States is 2580. Did your confidence interval capture the mean? Why or why not?
The 95% confidence interval is between 815 and 1917. The confidence interval does not contain 2580. This is because the sample is not the true representation of the population as a random number generator was used to get the sample data.
1,365.600 | mean State Cases |
1,475.688 | std. dev. |
269.423 | std. error |
30 | n |
29 | df |
815 | confidence interval 95.% lower |
1,917 | confidence interval 95.% upper |
551 | margin of error |
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