Week014-CourseModule-Putting-it-Together-PST_l_v16_l5l_s1.pdf

Putting it Together
CK-12
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Printed: October 2, 2016
AUTHOR
CK-12

www. c k12 .org Chapter 1. Putting it Together
C
HAPTER
1
Putting it Together
Professor Reitz believes that she has more than 8
00
of snow on her deck, if she takes the following measurements
using a SRS, can she be 95% sure that the mean depth is greater than 8
00
?
7.92
00
, 8.3
00
, 7.98
00
, 8.12
00
, 8.31
00
, 8.05
00
, 8.27
00
Look to the end of the lesson for the answer.
Putting it Together
By now, you have learned all you need to know to test some real-life hypotheses. You know how to calculate the
mean of means, x , the sample standard deviation, σ , and how to reference z and t scores. You are familiar with
confidence intervals and confidence levels. You know when to use a z -test, and when to use a t -test, and you know
the difference between a null and alternative hypothesis. If are unsure of your grasp of any of these concepts, return
to the appropriate lesson and review before moving on, otherwise, let’s put it all together!
Just for reference, here are the formulas for calculating confidence intervals of t and z tests:
• T -test confidence interval = x ± t
α
2
s √
n
• Z -test confidence interval = x ± z
a
2
×
σ √
n
The steps to test a single-mean hypothesis:
1. Choose an appropriate test:
1. Z -test if σ is known and if the population is known to be normal or n ≥ 30.
2. T -test is σ is unknown and/or n < 30.