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MAT 155 Lab 10 Sections 8.1-5 Hypothesis Testing - Part 3
Lab 1OHypothesis-3
.doc
Student's Name
Date:
~~
Score
Instructor: Dr. ClaudeS. Moore
Work each problem. show your work. and explain your answer as appropriate.
1. In a study of red/green color blindness, 500 men and 2100 women are randomly selected and tested. Among
the men, 45 have red/green color blindness. Among the women, 6 have red/green color blindness. Is there
sufficient evidence to support the claim that men have a higher rate (proportion) of red/green color blindness
than women? Use a=O.01.
/)
/\
_n.'
I..~_o.-l.. +' Ln
(a) Statethe hypothesesand identifythe claim. H ()~. P,- F>:1. H I ~ r I :> r ~ ~
~ I~
~
-
-
andthe test statisticvalue ~:
(b) List the critical value(s)
\ ~. Co~
(c) State your conclusion using the flow chart Wording of Final Conclusion.
2. Use a
= 0.05
to test the claim that the treatment group and placebo group come from populations with the
same mean. What does the result of the hypothesis test suggest about paroxetine as a treatment for bipolar
depression?
Standard deviation
Mean
Grou
Sample size
3.87
21.57
43
(1) placebo
3.91
20.38
33
2) Daroxetine
~-~
(a) State the hypotheses and identify the claim. t-\ 0
t,
J.J.-\ =).,l~
~
1+ \: Nt. \
and the test statistic value t:.
(b) List the critical value(s)
-:(:)L
~
·
\ '3:l. \
(c) State your conclusion using the flow chart Wording of Final Conclusion.
~
~
~
Ho.
().o~5
~4~~:t
~
-:t,D~1
ito-~
~~~~
~~~~
~~~~
~~~
~~~.."
~,o?J1
d.{-;: :3.:l-{
';) r~
(t. -==t ;;t. 03'1
..)
QI -=-
D .f) 5
- -0
t=- (?-\. 51 -;;u).33,) ""3:
+~
33
MAT] 55 Lab 10 Sections 8.] -5 Hypothesis Testing - Part 3
Lab] OHypothesis-3.doc
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3. Listed below are sample results from self-reported heights and measured heights. Is there sufficient evidence
to support the claim that there is a difference between self-reported heights and measured heights of males
aged 12.:.16?Use Statdisk with a 0.05 significance level.
Reported
Meaasured
72
70.8
68
67.9
Use print-screen to paste the output into a Word document for the
(a) data entered into columns 1 and 2
(b) calculated results
(c) plot of the results
(d) State the hypotheses and identify the claim.
(e) List the critical value(s) t:=.
t
:2...,:l.f)lD
.u 0 : ,(L, -=- LL;u
H-1: AL, :f::-M.;z..
and the test statistic value
-0
I
~
q ~'-/-:l,
(f) State your conclusion using the flow chart Wording of Final Conclusion.
~
d'-~ 7:.0
~
-\-\ 0
~ ~~:t~~:ta
~~~~~~o.~~
~~-~~~~
~
~-'M.#~~
~
1:2--11,.
4. Use a = 0.05 to test the claim that king-size cigarettes with filters have amounts of nicotine that y!!y more
than the amounts of nicotine in non-filtered king~sizecigarettes.
Sample size
Sample
21
(1) filtered
8
(2) non-filtered
Mean
0.94
1.65
Standard deviation
0.31
0.16
(a) State the hypotheses and identify the cla~m. tic>t. u;
(b) List the critical value(s)
F
= "3
L
1/-4--4-5
~
~
th'. 0-;> O~ ~
and the test statistic value
(c) State your conclusion using the flow chart Wording of Final Conclusion.
F:.
3.75
if
Answer Sheet
Problem 3
MAT 155 Lab 10
----
__1IIIIiI_---
1
2
3
4
'38
71
33
"'0
71
5
6
7
8
60
'3:
:3L
".
.-
1\ 9
10
11
53
30S
12
13
72
-
3
1
ROVII'
3.£
69.9
'3':'.9
6S.3
""10.3
60.6
6':'.:
tFO
.1'
Claim: p not equallJ(hyp)
Sample size, n:
12
Difference Mean, d:
-1
Di1ference St Dev. sd: 3.519556
Test Statistic, t:
Critical t:
-0.9842
:1:2.2010
P-Value:
0.3461
95% Confidence interval:
-3.236217 < IJ 0(1.236217
':'Jhich tJ.vo cc.lumlis of cata HoulC -'ou
lib~ te c.;.rnpare':
:;:.
'7.1.2
3:.0
70.8
1
v
2
E',alL/3tel!
Fall to Rejectthe NullHypothesis
Sample does not provide enough evidence
support the claim
Plint
Plot
--I
-Help--I I Clear
Cop,
II
rciiJh."I.r;1n
File Edit
.;;,nalvsis Data
1
68
RO'i
1
2
3
4
5
6
7
63
"'0
71
60
6:
6.1
-.-
9
3
--
---
.:
-
3
9
Hypottlesis Test M~an "13tctJeo:~Fairs
Student t Distribution
Fail tc reiect the rJull H ,p'Jthesis
O.rJ
5':.:
6-::'.0
::.,:i
1u
63
11
66
6:.1)
72
(1).8
ill'12
\'.'inck!",' 'ielp
-
2
67.9
i9.9
6':.9
68.3
70.3
""11
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DatasetS
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T€s: S:a'::~S::c':::-0.984
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