Question

In: Statistics and Probability

On March 29th the number of confirmed cases of the Covid-19 per state was obtained from...

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

Solutions

Expert Solution

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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