The Next Questions Are Based on the Following Information

question 160

Essay

The Next Questions Are Based On The Following Information:
A company selling new econometrics computer software advertises that firms using this software obtain,on average during the first year,a yield of at least 10% on their initial investments.A random sample of 10 of the franchises that used the software produced the following yields for the first year of operation: 9.4,11.1,10.4,10.5,11.2,8.2,8.5,4.0,8.8,and 6.1.Assume that population yields are normally distributed.
-On the basis of a random sample the null hypothesis: H₀ : μ ≤ μ₀ is tested against the alternative: H₁ : μ > μ₀ and the null hypothesis is not rejected at the 10% significance level.Does this necessarily imply that μ₀ is contained in the 90% confidence interval for μ?

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Definitions:

Reef-Building Coral

Marine invertebrates in the order Scleractinia that produce calcium carbonate skeletons, forming the structure of coral reefs.

Mutualism

refers to a symbiotic relationship between two different species where both species benefit from the interaction, enhancing each other's growth, survival, or reproduction.

Zooxanthellae

Symbiotic algae that live inside corals and other marine organisms, providing nutrients through photosynthesis, which is essential for reef building.

Chemical Protection

The use of chemical substances to deter predators, parasites, or pathogens.