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The Manager of a Fast Food Restaurant Is Investigating the Average

question 101

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The manager of a fast food restaurant is investigating the average number of fries per Large-sized offered to customers, to assess quality control. The manager took a random sample of five Large-sized orders of fries, and counted the number of fries per serve, with the results given below: 7375836878\begin{array}{|r|r|r|r|r|}\hline73&75&83&68&78\\\hline\end{array} Assume that the number of French fries served at this fast food restaurant is normally distributed. Can we infer at the 5% significance level that the average number of fries served in a Large-sized order of fries at this fast food restaurant is over 70?


Definitions:

Pine Seed

The seed of a pine tree, often known as a pine nut, used for reproduction of the species and as a food source for wildlife and humans.

Triploid

An organism or cell having three sets of chromosomes instead of the usual two.

Conifers

A group of cone-bearing plants that include trees such as pines, spruces, and firs, characterized by needle-like leaves.

Tracheids

Long, thin cells found in the xylem of vascular plants, facilitating water transport and providing structural support.

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