Confidence Intervals for means:

www.wolframalpha.com (Enter "t-interval" in the search bar.)

Hypothesis Testing for Means

www.wolframalpha.com (Enter "t-test" in the search bar)

Suppose a sample of 18 randomly selected adults is chosen in Seattle. Data is collected on the number of hours spent cooking over a week by each of the selected adults and is shown below :

5.1 1.7 7.2 2.3 4.4 4.7 5.8 3.6 3.2

4.0 5.5 2.9 6.3 3.9 4.8 8.1 4.1 5.5

a) Find the mean, median and standard deviation of the data from the sample. Include units in your answers. (Feel Free to use technology to find these values).

B) Show that the necessary conditions (Randomization Condition, 10% Condition, Nearly Normal Condition) are satisfied to construct a confidence interval. Briefly explain/show how each of the three conditions are satisfied.

C) Using sample data, find the 96% confidence interval for the number of hours spent cooking over week by Seattle adults. (To show your work: Write Down the name of the calculator your are using and what values you are entering into the calculator.)

D) Explain what your interval from part (c) means and include units. (What exactly does it tell us about the adults in Seattle?)