Question

a) Find a 95% Confidence Interval on the mean of the number of new cases, μ .b)Find a 99% Confidence Interval on the mean of the number of new cases, μ .

Selected Date	Number of new cases
2020-04-26	12
2020-04-27	13
2020-04-28	13
2020-04-29	5
2020-04-30	0
2020-05-01	12
2020-05-02	23
2020-05-03	23
2020-05-04	11
2020-05-05	1

Answer 1

Since we know that





Sample size (n) = 10
Standard deviation (s) = 7.8464
Confidence interval(in %) = 95

Required confidence interval = (11.3-5.6131, 11.3+5.6131)
Required confidence interval = (5.6869, 16.9131)


b) Confidence interval(in %) = 99

Required confidence interval = (11.3-8.0636, 11.3+8.0636)
Required confidence interval = (3.2364, 19.3636)
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