Concept explainers
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
(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
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps with 7 images
- Suppose that the mean value of interpupillary distance (the distance between the pupils of the left and right eyes) for adult males is 65 mm and that the population standard deviation is 5 mm. (a) If the distribution of interpupillary distance is normal and a random sample of n = 25 adult males is to be selected, what is the probability that the sample mean distance xfor these 25 will be between 64 and 67 mm? (Round all your intermediate calculations to four decimal places. Round the answers to four decimal places.) P = What is the probability that the sample mean distance x for these 25 will be at least 68 mm? P = (b) Suppose that a sample of 100 adult males is to be obtained. Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the sample mean distance will be between 64 and 67 mm? (Round all your intermediate calculations to four decimal places. Round the answers to four decimal places.) P = Without assuming that…arrow_forwardA random sample of n = 25 is selected from a normal population with mean = 107 and standard deviation = 13. Find the probability that the sample mean deviates from the population mean u = 107 by no more than 5. (Round your answer to four decimal places.)arrow_forwardSuppose that the mean value of interpupillary distance (the distance between the pupils of the left and right eyes) for adult males is 65 mm and that the population standard deviation is 5 mm. (a) If the distribution of interpupillary distance is normal and a random sample of n = 25 adult males is to be selected, what is the probability that the sample mean distance x for these 25 will be between 63 and 67 mm?(Round all your intermediate calculations to four decimal places. Round the answers to four decimal places.) P = (b) Suppose that a sample of 100 adult males is to be obtained. Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the sample mean distance will be between 63 and 67 mm? (Round all your intermediate calculations to four decimal places. Round the answers to four decimal places.) P = Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the sample mean…arrow_forward
- 9. A person's level of blood glucose and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 85 and standard deviation of σ = 28. What is the probability that, for an adult after a 12-hour fast, x is more than 65?arrow_forwardPer the Barron's report the average weeks unemployed is 21.5 (population mean) with a population standard deviation of 5 weeks and a sample of 55. In the next five questions we will be calculating the probability that the sample of 55 will provide a mean within 1 week of the population mean. What is the probability to 4 decimals for (x<20.5)? Use the rounded standard error of the mean in calculations.arrow_forward
- A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON