Statistics and Probability Answers

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.

Activity 2

Find the rejection region for each hypothesis test based on the information given.

1 H₂ μ = 121

Hah > 121 Η μ=986

2. Ho:μ=986 Ị Hai =27

HaiH <27

a= 0.01

a= 0.05 a= 0.05

n=34

known unknown

n=25 n=12

a known

ASSESSMENT

Perform as indicated

In numbers 1-5, find the critical valuets) and rejection remonts) for the type of z-test with level of significance a Include a graph with your answer

1 Left -tailed test, a=0.03

2 Right-tailed test = 0.05

3 Two-tailed test, a = 0.02

4 Two-tailed test, a = 0.10 5 Left-tailed test, a=0,09

In numbers 6-9, state whether each standardized test statistic z allows you to reject the null hypodesis Explain your reasoning

6. z=-1301 7 z=1203

8 2 1.280 9 2=1.286

10 A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no

more than 920 milligrams A random sample of 44 breakfast sandwiches has a mean sodium content of 925 milligrams Aanume the population standard deviation is 15 milligrams At a=0.10, do you have enough evidence to reject the restaurant's claim?

Activity 3 region

Find the critical value of each given problem. Skatch the curve and shade the wjection

1 14-90

The sample mean is 69 and simple size is 35 The population follows a normal distritsation with standard deviation 5 Usca w 0.05

2. A redaurant cashier claimed that the average amount spent by the endomers for dinner is P125.00 Over a month period, a sample of 50 customers was selected and it was found that the everage amount spent for dinner was P130.00 Using 005 level of significance can it be concluded that the average amount spent by customers is more than P125.00 Astose that the population standard deviation is 7.00