1. Assume that the number of cases of COVID-19 per day are normally distributed with a mean of 5000 and a standard deviation of 250 on any given day. Enter your answers in decimal form rounded to 4 decimal places (i.e. 0.0003 instead of 0.03%). (a) What is the probability that on that day there will at most 4,600 cases? (b) What is the probability that on that day there will be between 4,800 and 5,500 cases? (c) What is the probability that on that day there will be at least 5,600 cases?
1. Assume that the number of cases of COVID-19 per day are
Enter your answers in decimal form rounded to 4 decimal places (i.e. 0.0003 instead of 0.03%).
(a) What is the probability that on that day there will at most 4,600 cases?
(b) What is the probability that on that day there will be between 4,800 and 5,500 cases?
(c) What is the probability that on that day there will be at least 5,600 cases?
2. Assume that number of cases of COVID-19 per day in a city are normally distributed. A sample of 48 days revealed the average number of Cases to be 130 with a population standard deviation of 51.
Round your answer for part (a) to the nearest whole number.
(a) What is the point estimate for the population number of cases of that city per day?
Round your answer for part (b) to 3 decimal places.
(b) What is the critical value that will need to be used to calculate a 95% confidence interval?
Round your answers for part (c) to the nearest whole number.
(c) What is the 95% confidence interval for the number of COVID-19 cases per day:
<μ<<μ<
Round your answer for part (d) UP to the nearest whole number.
(d) Determine the minimum sample size (number of days) required if the precision of the estimation is to be within ±±12 (now with a 99% confidence level and the standard deviation remains the same).
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