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11. As the November temperatures begin to cool off a bit in Arizona, hiking becomes a popular outdoor sport attracting people
12. A survey of 100 families who booked a vacation at a Disney World resort is conducted to assess if the average stay is mor
13. The manager of a local coffee shop wished to learn about the distribution of the types of coffee ordered. Type of coffee
14. A grocery chain that focuses on providing many vegan options is trying to decide between two locations for expansion. Man
math   Statistics-And-Probability   
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Answer #1

q11

The test conducted here is to find if there is any association between the time and age of the hiker. For the relation we either use correlation or test of independence. Here since the time and age are two numerical data, we will use the

Test for Correlation

other tests like means or proportion are parametric test which is not required here. Slope test is used to test if the independent variable is a good predictor for the dependent variable.

q12

The sample is taken to test if the average stay is more than 4 days,. So the test is for unknown population parameter: mean. There is one sample only therefore we use

Test for Single Mean

q13

We have the categories of coffee. The observeds values are for the number of people ordering each of the type of coffee. The manager wants to test if all the coffee have equal frequency. That is if the observed values are significantly equal or that they follow uniform distribution. Therefore we are testing if the uniform distribution is fit for the freq of type of coffee. We use

Goodness of fit test

q14

The manager wants to expand and there are two choices. Depending upon the number of vegans in each area the expansion will be done. So the locals can be either vegan or they won't be. We can assume that this is binomial distribution where the proportion of vegans are compard for the two areas. THerefore we will use

Test for difference in proportions

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