Theoretical Quantiles Theoretical Quantiles 7) Let's use the the data above for male kestrel length, but this time with the addition of 2 more birds (n = 12). Here are the data, sorted to help you. Most of the normal scores are also given: Length(cm): 26.1 26.4 27.0 27.0 27.2 27.3 27.3 27.7 27.9 28.4 28.5 29.1 -0.812 -0.549 -0.319 -0.105 0.105 0.319 0.549 0.812 Z-scores: (a) Calculate the missing normal scores (the first two and the last two). (b) Now construct a q-q plot (normal probability plot). Do this by hand.
Theoretical Quantiles Theoretical Quantiles 7) Let's use the the data above for male kestrel length, but this time with the addition of 2 more birds (n = 12). Here are the data, sorted to help you. Most of the normal scores are also given: Length(cm): 26.1 26.4 27.0 27.0 27.2 27.3 27.3 27.7 27.9 28.4 28.5 29.1 -0.812 -0.549 -0.319 -0.105 0.105 0.319 0.549 0.812 Z-scores: (a) Calculate the missing normal scores (the first two and the last two). (b) Now construct a q-q plot (normal probability plot). Do this by hand.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Answer only question 7 all the way at the bottom. Make sure you show all your work
Transcribed Image Text:11:07
Not Secure - mason.gmu.edu
(a) Which test (problem (3) or problem (4)) lets you reject the null hypothesis?
(b) Which test do you *think* has more power?
30 Wh
Usually, but not always(!!), the test with the most power has a lower p-value.
(c) If you don't know that the population variances are equal, which test should you use?
(d) Which test should you use here? (Refer to (c)).
Big hint and comment:
This is an example of when the classic (= equal variance) t-test can make a serious mistake. Rejecting a
null hypothesis when it is not appropriate is a pretty serious mistake. Note also that the sample sizes are
very different.
(If you're theoretically inclined, here's what happens: even though we set α = 0.05, the classic t-test
makes a type I error at a much higher rate than 5%. In other words, despite setting α = 0.05, the actual
value of a 0.05, which is obviously not good!)
6) Match the q-q plots on the next page with the appropriate letter:
(A) skewed left
(D) long tailed but symmetrical
(B) skewed right
(E) short tailed
PLOT 1
(C) approximately normal
PLOT 2
Sample Quantiles
15
c
Sample Quantiles
10
10
3
2
2
-2
-1
1
2
Theoretical Quantiles
PLOT 3
-2
-1
1
2
Theoretical Quantiles
Sample Quantiles
ф
2
Sample Quantiles
0.4
0.6
ZO
10
-1
0
Theoretical Quantiles
PLOT 4
-1
0
Theoretical Quantiles
7) Let's use the the data above for male kestrel length, but this time with the addition of 2 more birds (n = 12).
Here are the data, sorted to help you. Most of the normal scores are also given:
Length(cm): 26.1 26.4 27.0 27.0 27.2 27.3 27.3 27.7 27.9 28.4 28.5 29.1
Z-scores:
-0.812 -0.549 -0.319 -0.105 0.105 0.319 0.549 0.812
(a) Calculate the missing normal scores (the first two and the last two).
(b) Now construct a q-q plot (normal probability plot). Do this by hand.
Be prepared to discuss these problems in recitation the week of March 25th.
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