4.48. An experiment was carried out on scale models in a wave tank to investigate how the choice of mooring method affected the bending stress produced in a device used to generate electricity from wave power at sea. The model system was subjected to the same sample of 18 sea states with each of the two mooring methods. The resulting data (root mean square bending moment in Newton meters) are
Sea state Method 1 Method 2
1 2.23 1.82
2 2.55 2.42
3 7.99 8.26
4 4.09 3.46
5 9.62 9.77
6 1.59 1.4
7 8.98 8.88
8 0.82 0.87
9 10.83 11.2
10 1.54 1.33
11 10.75 10.32
12 5.79 5.87
13 5.91 6.44
14 5.79 5.87
15 5.5 5.3
16 9.96 9.82
17 1.92 1.69
18 7.38 7.41

a. Conduct the appropriate hypothesis test using a 0.10 significance level.

b. Construct a 90% confidence interval for the true mean difference in bending stress.

c. What did you assume to do the analysis? Can you evaluate how well these data meet the assumptions? If yes, determine how comfortable you are with them. If not, explain why.

The solution provides step by step method for the calculation of testing of hypothesis and confidence interval for mean difference. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

1. What are the null and alternate hypotheses for this test? Why?
2. What is the critical value for this hypothesis test using a 5% significance level?
3. Calculate the test statistic and the p-value using a 5% significance level.
4. State the decision for this test.
5. Determine the confidenceinterval level that would be a

Assume that in a hypothesis test with null hypothesis = 13.0 at 0.05, that a value of 11.0 for the sample mean results in the null hypothesis not being rejected. That corresponds to a confidenceinterval result of
A. The 95% confidenceinterval for the mean does not contain the value 13.0
B. The 95% confidenceinterval for

Consider the following HypothesisTesting:
H0: δ1² = δ2²
Ha: δ1² ≠ δ2²
The sample size for sample 1 is 25, and for sample 2 are 21. The variance for sample 1 is 4.0 and for sample 2 is 8.2
a) at the confidence level of 0.98, what is your conclusion of this test?
b) What is the confidence

Need help setting up, understanding and solving this problem:
At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation σ = 180 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether

Use the traditional method to test the given hypothesis. Assume that the samples are independent and that they have been randomly selected
11) In a random sample of 500 people aged 20 24, 22% were smokers. In a random sample of 450 people aged 25 29, 14% were smokers. Test the claim that the proportion of smokers inthe two age

A. *HT* A test was conducted to compare the wearing quality of the tires produced by two tire companies. A random sample of 16 cars is equipped with one tire of Brand X and one tire of Brand Y (the other two tires on each car are not part of the test), and driven for 30 days. The following table gives the amount of wear in thous

I need help solving the following problems:
In this problem set you will get some practice performing hypothesis tests for two samples. If you use Statdisk to perform any portion of these analyses, please include the results, label them, and refer to them accordingly in your interpretations. Good luck and enjoy!
1. Ten

What is the relationship between a confidenceinterval and a single sample, two-tailed hypothesis test?
How are they the same? How are they different?
Review the definition of a single sample, two tailed test. Now review the structure of a confidenceinterval.
What are the assumptions and requirements for the use