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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