Statistics and Probability Answers

What is the probability that the mean weekly income of these 50 workers is less than 448 pesos?

The owner of the factory that sells a particular bottled fruit juice claimed that the

average capacity of their product is 250 ml. To test the claim, a consumer group gets

a sample of 100 such bottles, calculates the capacity of each bottle, and then finds

the mean capacity to be 248 ml. The standard deviation s is 5 ml. Use α = 0.03. Will

you reject or not to reject the claim.

A group of students got the following scores in a test: 6, 9, 12, 15, 18, and 21. Consider samples of size 3 that can be drawn from this population.

A. List all the possible samples and the corresponding mean.

B. Construct the sampling distribution of the sample means.

1.One-tailed test;variance is known,a=0.05,n=35

In a company having 80 employees, 60 earn 10.00 per hour and 20 earn $13.00 per hour. Determine the mean earning per hour.b would the answer in part (a) be the same if the 60 employees earn a mean hourly wage.

The owner of a restaurant that serves continental food wants to study characteristics of his customers. He decides to focus on two variables: the amount of money spent by customers and whether customers order dessert. The results from a sample of 60 customers are as follows: • Amount spent: X=$38.54, S= $7.26 • 18 customers purchased dessert. a. Construct a 95% confidence interval estimate of the population mean amount spent per customer in the restaurant.

Question:1

It is claimed that an automobile is driven in the average less than 20,000 km /year. To test this claim, a random sample of 100 auto-mobiles owners are asked to keep a record of the kilometers, they travel. Would you agree with this claim if the random sample showed an average of 23,500 kilometers and a standard deviation of 3900 kilometers. Use a 0.01 level of significance.

Question: 2

Test the hypothesis that the average content of containers of a particular lubricant is 10 liters if the contents of a random sample of 10 containers are 10.2, 9.7, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.3, and 9.8 litters.

Use a 0.01 level of significance and assume that the distribution is Normal.

Suppose that the average outstanding credit card balance for your professionals is P11,200 with a standard deviation of P2,600. In a simple random sample of 150 young professionals, what is the probability that the mean outstanding credit card balance does not exceeds P11,800?

X | 0 | 2 | 5 | 7 | 9

P(X) |0.1|0.2|0.3|0.2|0.2

1. What is the mean of the probability distribution?

a. 5.1

b. 5.5

c. 6.0

d. 4.0

2. What is the variance of the probability distribution?

a. 18.15

b. 2.26

c. 8.29

d. 2.88

our hypothetical population contains the scores 5, 7, 9, and 11. determine the mean and variance of the sampling distribution of the sample mean., given that samples contain two scores drawn from the population with replacement.