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One of the characteristics of is what is known as compactness, which refers to the analysis of 3- D structure of tumor invasion. It is defined as the ratio of surface area to volume and the compactness quantifies tumor invasion / the tumours level of aggressiveness. A researcher wanted to look at the level of compactness in women at risk of metastasis. L.e. the cancer spreading, and from a sample of n=14 finds that the levels of compactness listed below had a standard deviation of 0.85. Assume that all conditions to construct the confidence interval are met.

One of the characteristics of is what is known as compactness, which refers to the analysis of 3- D structure of tumor invasion. It is defined as the ratio of surface area to volume and the compactness quantifies tumor invasion / the tumours level of aggressiveness. A researcher wanted to look at the level of compactness in women at risk of metastasis. L.e. the cancer spreading, and from a sample of n=14 finds that the levels of compactness listed below had a standard deviation of 0.85. Assume that all conditions to construct the confidence interval are met.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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One of the characteristics of is what is known as compactness, which refers to the analysis of D structure of tumor invasion. It is defined as the ratio of surface area to volume and the compactness quantifies tumor invasion / the tumours level of aggressiveness. A researcher wanted to look at the level of compactness in women at risk of metastasis. L.e. the cancer spreading, and from a sample of n=14 finds that the levels of compactness listed below had a standard deviation of 0.85. Assume that all conditions to construct the confidence interval are met. 10.5 9.7 10.0 10.1 10.3 10.9 8.5 9.9 8.8 10.1 9.4 9.8 12.0 10.0 A) Calculate and interpret the 95% CI for u. B) If the compactness stays near 9.4, then the tumours are not supposed to be aggressive. It's like a goldilocks situation in that it needs to be just right. The researcher does not believe the number is right. Perform the appropriate hypothesis test for HQ : μ=9.4 versus H1: μ#9.4 for a=0.05 without computing the test statistic. To get full marks, give a clearly stated conclusion for the researcher based on the results of the study. C) Assume that all conditions for testing the hypothesis are met with the current set up. Redo part B) using the appropriate test statistic under this assumption.
Transcribed Image Text:One of the characteristics of is what is known as compactness, which refers to the analysis of D structure of tumor invasion. It is defined as the ratio of surface area to volume and the compactness quantifies tumor invasion / the tumours level of aggressiveness. A researcher wanted to look at the level of compactness in women at risk of metastasis. L.e. the cancer spreading, and from a sample of n=14 finds that the levels of compactness listed below had a standard deviation of 0.85. Assume that all conditions to construct the confidence interval are met. 10.5 9.7 10.0 10.1 10.3 10.9 8.5 9.9 8.8 10.1 9.4 9.8 12.0 10.0 A) Calculate and interpret the 95% CI for u. B) If the compactness stays near 9.4, then the tumours are not supposed to be aggressive. It's like a goldilocks situation in that it needs to be just right. The researcher does not believe the number is right. Perform the appropriate hypothesis test for HQ : μ=9.4 versus H1: μ#9.4 for a=0.05 without computing the test statistic. To get full marks, give a clearly stated conclusion for the researcher based on the results of the study. C) Assume that all conditions for testing the hypothesis are met with the current set up. Redo part B) using the appropriate test statistic under this assumption.
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