Question

In: Math

Answer the following questions and use Excel or this document to show your work. 1. Consider...

Answer the following questions and use Excel or this document to show your work.

1. Consider the following results for two samples randomly taken from two normal populations with equal variances.

	Sample I	Sample II
Sample Size	28	35
Sample Mean	48	44
Population Standard Deviation	9	10

a. Develop a 95% confidence interval for the difference between the two population means.

b. Is there conclusive evidence that one population has a larger mean? Explain.

Expert Solution

Part a)

Confidence interval :-

Z(α/2) = Z (0.05 /2) = 1.96

Lower Limit =
Lower Limit = -0.6998
Upper Limit =
Upper Limit = 8.6998
95% Confidence interval is ( -0.6998 , 8.6998 )

Part b)

To Test :-
H0 :- µ1 = µ2
H1 :- µ1 > µ2

Test Statistic :-

Z = 1.6681

Test Criteria :-
Reject null hypothesis if Z > Z(α)
Z(α) = Z( 0.05 ) = 1.64
Z > Z(α) = 1.6681 > 1.64
Result :- Reject Null Hypothesis

Decision based on P value
Reject null hypothesis if P value < α = 0.05 level of significance
P value = P ( Z < 1.6681 )
P value = 0.0476
Since 0.0476 < 0.05 ,hence we reject null hypothesis
Result :- Reject null hypothesis

There is sufficient evidence to support the claim that one population has a larger mean.

milcah answered 1 year ago

Answer the following questions and use Excel to show your work. The mean time required to...

Answer the following questions and use Excel to show your work. The mean time required to complete a certain type of construction project is 52 weeks with a standard deviation of 3 weeks. Answer questions 4–7 using the preceding information and modeling this situation as a normal distribution. 4. What is the probability of the completing the project in no more than 52 weeks? a) 0.25 b) 0.50 c) 0.75 d) 0.05 5. What is the probability of the completing...

Answer the following questions and use Excel to show your work. A student has an important...

Answer the following questions and use Excel to show your work. A student has an important exam coming up and is contemplating not studying for the exam in order to attend a party with his friends. The student must earn a minimum score of 70% on the exam in order to successfully maintain his desired GPA. Suppose the student knows in advance that the exam will consist of 20 multiple-choice questions with 4 possible answers for each question. Answer questions...

Answer the following questions and use Excel to show your work. Customers arrive at a supermarket...

Answer the following questions and use Excel to show your work. Customers arrive at a supermarket check-out counter with an average arrival rate of 9 customers per hour. Answer questions 8–10 using the preceding information and modeling this situation as a Poisson distribution. 8. What is the probability of less than 5 customers arriving at the supermarket check-out counter in a given 1-hour period? a) 0.054 b) 0.446 c) 0.359 d) 0.612 9. What is the probability of exactly 12...

Use the following information to answer the next three questions. Show ALL your work! Consider the...

Use the following information to answer the next three questions. Show ALL your work! Consider the cash flows from two mutually exclusive projects: Cash Flow Year Project A Project B 0 -$420,000 -$420,000 1 $150,000 $390,000 2 $230,000 $110,000 3 $321,000 $140,000 The appropriate discount rate is 11.7%. -Calculate the net present value (NPV) for both projects, and determine which project should be accepted based on NPV. Round both NPVs to the nearest dollar. -Calculate the internal rate of return...

Use the following information to answer the questions in this quiz. Please show your work by...

Use the following information to answer the questions in this quiz. Please show your work by submitting a Word, Excel, or JPEG file in the "Project 2 Drop Box". INFORMATION OLD MACHINE: Original Purchase Price $ 550,000.00 Original Life 10 YEARS Remaining Life 5 YEARS Straight line depreciation in use Salvage Value $ 50,000.00 Current Fair Market Value $ 260,000.00 INFORMATION NEW MACHINE A: Purchase Price $895,000.00 Estimated Life 5 YEARS Use Straight Line Depreciation Method Estimated Salvage Value...

SHOW YOUR WORK, DO NOT USE EXCEL Consider a portfolio consisting of the following two assets:...

SHOW YOUR WORK, DO NOT USE EXCEL Consider a portfolio consisting of the following two assets:  Stock A has E[RA] = 10% and ?? = 20%  Stock B has E[RB] = 20% and ?? = 40% Calculate the expected return and standard deviation of the portfolio under the four following sets of assumptions: (a) wA = 1/2 and wB = 1/2 and ???= 0 (b) wA = 1/2 and wB = 1/2 and ???= -1 (c) wA =...

Use MS Excel and turn in your XLS document. This work is to be turned in...

Use MS Excel and turn in your XLS document. This work is to be turned in individually. Compute the present value of a project that has a lifetime of 7 years. The total investment is 1.5 million dollars. The depreciation method is MACRS-GDS classified as 5 year property. The tax rate is 21%. 43% of the investment is financed with a loan at 7% per year, payable in 5 yearly payments. The positive cash flows in each one of the...

Create an excel workbook for the following questions. Answer these questions under your Solver work for...

Create an excel workbook for the following questions. Answer these questions under your Solver work for each respective problem. 1. Devos Inc. is building a hotel. It will have 4 kinds of rooms: suites where customers can smoke, suites that are non-smoking, budget rooms where the customers can smoke, and budget rooms that are non-smoking. When we build the hotel, we need to plan for how many rooms of each type we should have. The following are requirements for the...

Answer the following questions. Show all work leading to your answer. On a network with an...

Answer the following questions. Show all work leading to your answer. On a network with an IP address of 140.133.28.72 and a subnet mask of 255.248.0.0, what is the network ID? You have decided to create 254 subnets on your Class B network. What subnet mask will you use to accomplish this? What is the maximum number of hosts you can assign to any single subnet? Your workstation's IP address is 10.35.88.12, and your supervisor's workstation's IP address is 10.35.91.4....

1. Use the following data to answer the questions below. Show your work (x-mx^2 x y...

1. Use the following data to answer the questions below. Show your work (x-mx^2 x y (y-my)^2 (x-m)(y-m) 9 8 9 16 12 9 2 5 0 0 16 1 5 0 0 9 2 8 9 -9 16 9 2 9 -12 9 8 1 16 -12 Sum 68 5 5 Sum 50 Sum -21 x y 8 9 2 5 1 5 2 8 9 2 8 1 What is the covariance between Y and X What is...