Suppose that we have two normal populations with the means

Reference no: EM13473594

1. The heights of North American women are normally distributed with a mean of 64 inches and a standard deviation of 2 inches.

a. What is the probability that a randomly selected woman is taller than 66 inches?

b. A random sample of four women is selected. What is the probability that the sample mean height is greater than 66 inches?

c. What is the probability that the mean height of a random sample of 100 women is greater than 66 inches?

2. The number of pizzas consumed per month by university students is normally distributed with a mean of 10 and a standard deviation of 3.

a. What proportion of students consumes more than 12 pizzas per month?

b. What is the probability that in a random sample of 25 students more than 275 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of 25 students?)

3.Use the normal approximation without the correction factor to find the probabilities in the exercises 5, 6, and 7.

a. In a binomial experiment with n = 300 and p = .5, find the probability that is greater than 60%.

b. Repeat part (a) with p = .55

c. Repeat part (a) with p = .6

4. A commercial for a manufacturer of household appliances claims that 3% of all its products require a service call in the first year. A consumer protection association wants to check the claim by surveying 400 households that recently purchased one of the company's appliances. What is the probability that more than 5% require a service call within the first year? What would you say about the commercial's honesty if in a random sample of 400 households 5% report at least one service call? HW2 ISDS 361B 2 of 2

7. An accounting professor claims that no more than one-quarter of undergraduate business student will major in accounting. What is the probability that in a random sample of 1,200 undergraduate business students, 336 or more will major in accounting?

8. Suppose that we have two normal populations with the means and standard deviations listed here. If random samples of size 25 are drawn from each population, what is the probability that the mean of sample 1 is greater than the mean of sample 2?

Population 1: µ = 40, σ = 6

Population 2: µ = 38, σ = 8

9. A factory's worker productivity is normally distributed. One worker produces an average of 75 units per day with a standard deviation of 20. Another worker produces at an average rate of 65 per day with a standard deviation of 21. What is the probability that during one week (5 working days), worker 1 will outproduce worker 2?

10. The average North American loses an average of 15 days per year to colds and flu. The natural remedy echinacea reputedly boosts the immune system. One manufacturer of echinacea pills claims that consumers of its product will reduce the number of days lost to colds and flu by one-third. To test the claim, a random sample of 50 people was drawn. Half took echinacea, and the other halftook placebos. If we assume that the standard deviation of the number of days lost to colds and flu with and without echinacea is 3 days, find the probability that the mean number of days lost for echinacea users is less than that for nonusers.

Reference no: EM13473594

Questions Cloud

Frequent checks of unfilled orders follow poisson : new process inc. a large mail-order supplier of womens fashions advertises same-day service on every order.nbsp

H many disasters would you expect in first 25 flights : an air force study indicates that the probability of a disaster such as the january 28 1986 explosion of the space

Describe the contract made by china and the government of : answer the following questions at least in part in terms of mancur olsons analysis of special interests and selective

When we add subtract multiply and divide we discover there : when we add subtract multiply and divide we discover there are basic properties that govern what we can and cannot do.

Suppose that we have two normal populations with the means : 1. the heights of north american women are normally distributed with a mean of 64 inches and a standard deviation of 2

Explain how does the use of informal or conversational : q1. what are the characteristics of a communication that clearly conveys its message to the intended audience? how do

Describe three examples of the authors use of humorwhat : describe three examples of the authors use of humor.what important subjects are addressed in this excerpt? present two

There are 85 flags in paiges flag collection of these 30 of : there are 85 flags in paiges flag collection. of these 30 of the flags include red in the flags designs35 include white

Social roles are roles that people aquire themselves that : social roles are roles that people aquire themselves that allow them to fit in a certain social class. social roles are

User Account

All Pages