statistic final
alnmar
final_review_answers_fall_2014.docReview Sheet for Math 273 Final Exam
Answers (as opposed to Solutions)
Chapter 6: Confidence intervals
1. z, df not appropriate, 3.23, (6.27, 12.73) 2. z, df not appropriate, 6, (74, 86)
3. t, 49df, 11.09, (92.41, 114.59) 4. t, 7df, 485, (4259. 5229)
5. z, df not appropriate, 0.029, (0.669, 0.727) 6. z, df not appropriate, 0.025, (0.566, 0.616)
Chapter 7: Hypothesis testing
7. H0:
12,700
m
£
; Ha:12,700
m
>
;0.05
a
=
; t-dist, df = 20; t = 1.920; p-value = 0.0346; Reject H08. H0:
25
m
=
; Ha:25
m
¹
;0.10
a
=
; t-dist, df = 17; t = 1.642; p-value = 0.1190; FtRH09. H0:
10
m
£
; Ha:10
m
>
;0.10
a
=
; t-dist, df = 8; t = 1.810; p-value = 0.0539; Reject H010. H0:
0.70
p
³
; Ha:0.70
p
<
;0.01
a
=
; Normal; z = -3.599; p-value = 0.0002; Reject H011. H0:
75
.
0
£
p
; Ha:0.75
p
>
;0.10
a
=
; Normal;ˆ
0.79
p
=
; z = 2.944; p-value = 0.0016; Reject H0Chapter 8: Hypothesis testing with two samples:
12. H0:
12
mm
³
; Ha:12
mm
<
;0.10
a
=
; t-dist; df = 73;0.105597
ˆ
=
s
; t = -2.041; p-value = 0.0224; Reject H013. H0:
ML
mm
³
; Ha:ML
mm
<
;0.05
a
=
; t-dist; df = 75;50.94769
ˆ
=
s
; t = -1.719; p-value = 0.0449; Reject H014. H0:
12
mm
=
; Ha:12
mm
¹
;0.05
a
=
; t-dist, df = 20;ˆ
1095
s
=
,1.600
t
=
; p-value = 0.1253; FtRH015. H0:
12
mm
³
; Ha:12
mm
<
;0.01
a
=
; t-dist, df = 14; t = -0.937; p-value = 0.1800; FtRH016. H0:
BW
mm
=
; Ha:BW
mm
¹
;0.10
a
=
; t-dist; df = 34; t = -2.698; p-value = 0.0108; Reject H017. H0:
0
£
d
m
, Ha:0
>
d
m
;0.01
a
=
; t-dist, df = 8; t = 4.362; p-value = 0.0012; Reject H0.Chapter 10: Hypothesis testing with χ²- and F-distributions:
18. H0:The data fits the Census Bureau’s distribution; Ha: The data DOES NOT fit the Census Bureau’s distribution;
0.05
a
=
; χ²-dist; df = 3; χ² = 3.531; p-value = 0.3168; FtRH019. H0:Gender and major are independent; Ha:Gender and major are dependent;
0.05
a
=
; χ²-dist; df = 3; χ² = 2648.9176; p-value = 0.0000; RejectH020. H0:
4
3
2
1
m
m
m
m
=
=
=
; Ha: At least one mean is different;0.05
a
=
; F-dist;; F = 4.611; p‑value = 0.0177; Reject H0
