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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