# What confidence level and level of significance represent

How  many of the confidence intervals contain the sample mean x

SKU: Ques67 Category:

Our goal with this assignment is to better understand confidence intervals and hypothesis testing. especially what confidence level and level of significance represent.

First generate 100 columns each with 300 rows of random exponential data: [CaleI Random Data I Exponential… : columns “CI—C100”. number of rows: 300: scale 10: threshold=0.] So you will now have 100 samples all from the same exponential population (which has a mean µ = 10).

Now perform a hypothesis test to test the claim that the mean of the population mean µ is 10 (which it is): [Stat I Basic Statistics I I-sample-t; check “perform hypothesis test” with mean 10; select rows -C I —C1001
Fall 2014

Now print out that session  window (not all of the data!). We will finish by hand.

a. Circle (or highlight) the 95% confidence intervals which do not include the population mean is.

b. How many did you mark in part (a)?

c. Flow many should you expect to mark (as in part a) on the average?

d.How  many of the confidence intervals contain the sample mean x (Reread this question carefully.)

e.Put check marks √ on the right by the rows for which we would reject the null hypothesis at α = 0.10. (Hint: those are the rows with a p-value at most 0.10)

f.How many did you mark in part e?

g.How many should you expect to mark (as in part e) on the average?

h.Fold like a quiz. then put your name and class time on the front (like the title of a book).

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