Quiz 10 mat
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Mercer County Community College *
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Course
125
Subject
Mathematics
Date
Jan 9, 2024
Type
Pages
4
Uploaded by BaronFlowerOpossum40
1
Quiz 10 MAT126
Name______________________________________________
(Show all steps of the hypothesis tests to receive full credit.)
1) The highest non-irrigated wheat yields in the United States are in the Palouse region of Eastern Washington
and Northern Idaho.
Following are hypothetical yields, in bushels, for 15 randomly selected acres of farmland.
77
75
82
82
76
82
81
86
98
89
76
93
79
62
63
Can you conclude that the median yield is more than 75 bushels per acre? Use a 0.01 significance level.
2)
Monthly rents where recorded for a sample of 36 apartments in Peachtree County.
The results were as
follows:
660
980
1210
440
530
1110
610
350
810
670
700
680
1030
1100
910
920
1000
620
820
980
620
1300
1200
1290
1090
1250
380
820
1050
1020
500
1000
1150
1290
720
1200
Can you conclude that the median rent is less than $1000 per month?
Use α = 0.01.
2
3) Battery lifetimes, in hours, were measured for two types of batteries, in hours, were measured for two types
of batteries commonly used in laptop computers.
Twelve batteries of one type and 13 of another type were
tested.
The results are shown below.
Type 1
4.1
6.8
5.8
5.2
3.2
2.5
3.9
2.2
4.7
5.2
2.1
4.1
Type 2
6.7
4.1
5.6
7.0
3.1
2.3
4.6
3.8
4.4
4.9
7.1
4.8
4.0
Can you conclude that the lifetimes differ between the two types of batteries? Use
α
= 0.10.
Time
2.1
2.2
2.3
2.5
3.1
3.2
3.8
3.9
4.0
4.1
4.1
4.1
4.4
4.6
4.7
Type
1
1
2
1
2
1
2
1
2
1
2
1
2
2
1
Rank
Time
4.8
4.9
5.2
5.2
5.6
5.8
6.7
6.8
7.0
7.1
Type
2
2
1
1
2
1
2
1
2
2
Rank
3
4) Systolic blood pressure, in mmHg, was measured for a sample of 15 patients who reported exercising regularly
and for a sample of 12 patients who reported having a sedentary lifestyle. The results were as follows:
Exercise
130
103
111
140
122
102
122
135
127
109
114
118
139
105
134
Sedentary
154
142
122
132
116
150
149
146
122
135
106
126
Can you conclude that systolic blood pressures differ between those who exercise and those who are sedentary?
Use
α
= 0.05.
Pressure
102
103
105
106
109
111
114
116
118
122
122
122
122
126
127
Type
E
E
E
S
E
E
E
S
E
E
S
S
E
S
E
Rank
Pressure
130
132
134
135
135
139
140
142
146
149
150
154
Type
E
S
E
E
S
E
E
S
S
S
S
S
Rank
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4
5)
Following are the prices, in dollars, of a sample of 20 air conditioners.
381
337
433
421
287
330
194
491
503
326
377
559
430
490
352
343
500
203
223
239
Using the Minitab printout below, can you conclude that the median price differs from $300? Use 0.01
significance.
6)
Following are weights, in pounds, for samples of 16 newborn boys and 14 newborn girls.
Boys
8.3
7.8
8.2
8.0
8.8
8.4
8.5
6.2
7.5
7.0
6.6
6.4
5.9
6.7
7.6
7.4
Girls
7.7
8.8
8.9
6.2
6.0
7.9
5.8
7.3
7.4
8.5
7.2
6.9
7.9
8.1
Using the Minitab printout below, can you conclude that weights differ between newborn boys and girls?
Use
α
= 0.05.