Question

A farmer is concerned that a change in fertilizer to an organic variant might change his crop yield. He subdivides 6 lots and uses the old fertilizer on one half of each lot and the new fertilizer on the other half. The following table shows the results. (You may find it useful to reference the appropriate table: z table or t table) Lot Crop Yield Using Old Fertilizer Crop Yield Using New Fertilizer 1 9 11 2 10 9 3 9 14 4 8 11 5 10 12 6 10 14 Let the difference be defined as Old – New. a. Specify the competing hypotheses that determine whether there is any difference between the average crop yields from the use of the different fertilizers. H0: μD ≤ 0; HA: μD > 0 H0: μD = 0; HA: μD ≠ 0 H0: μD ≥ 0; HA: μD < 0 b. Assuming that differences in crop yields are normally distributed, calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and your final answer to 2 decimal places.)

Answer #1

from above **H0: μD = 0; HA: μD ≠
0 and**

**test statistic = -2.95**

A farmer is concerned that a change in fertilizer to an organic
variant might change his crop yield. He subdivides his six lots and
uses the old fertilizer on one half of each lot and the new
fertilizer on the other half. The following table shows the
results.
Lot
Crop Yield Using
Old Fertilizer
Crop Yield Using New Fertilizer
1
10
12
2
11
10
3
10
13
4
9
9
5
12
11
6
11
12
Using 5% significance...

10-10. The following table contains information on matched
sample values whose differences are normally distributed.
(You may find it useful to reference the appropriate
table: z table or t
table)
Number
Sample 1
Sample 2
1
18
22
2
13
11
3
22
23
4
23
20
5
17
21
6
14
16
7
18
18
8
19
20
a. Construct the 99% confidence interval for the mean
difference μD. (Negative values should
be indicated by a minus sign. Round...

Two farmers decide to work together and diversify their crops.
One farmer will grow rice, and the other farmer will grow potatoes.
The two farmers gather data on their yields of rice and potatoes
over the past four years and compile it in the table below:
Crop
Yield from year 1
Yield from year 2
Yield from year 3
Yield from year 4
Rice
5
3
8
4
Potato
9
17
0
14
(a) What is the expected yield of...

An engineer wants to determine the effectiveness of a safety
program. He collects annual loss of hours due to accidents in 12
plants before and after the program was put into
operation.
Plant
Before
After
Plant
Before
After
1
102
88
7
94
106
2
108
102
8
81
88
3
101
97
9
77
76
4
96
105
10
58
59
5
99
81
11
95
62
6
81
82
12
104
102
Click here for the Excel Data...

To investigate the fluid mechanics of swimming, twenty swimmers
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recorded and the results are given in the table below.
Swimmer
Velocity
(m/s)
Water
Guar
Syrup
1
0.90
0.94
2
0.92
0.97
3
1.00
0.95
4
1.10
1.15
5
1.20
1.24
6
1.25
1.24
7
1.25
1.27...

A professional golfer wondered if she should switch to a new
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measured how far...

Scores in the first and fourth (final) rounds for a sample of 20
golfers who competed in golf tournaments are shown in the following
table.
Suppose you would like to determine if the mean score for the
first round of a golf tournament event is significantly different
than the mean score for the fourth and final round.
layer
First
Round
Final
Round
Golfer 1
70
72
Golfer 2
71
72
Golfer 3
70
75
Golfer 4
72
71
Golfer 5...

You may need to use the appropriate technology to answer this
question.
Scores in the first and fourth (final) rounds for a sample of 20
golfers who competed in golf tournaments are shown in the following
table.
Player
First
Round
Final
Round
Golfer 1
70
72
Golfer 2
71
72
Golfer 3
70
74
Golfer 4
72
71
Golfer 5
70
69
Golfer 6
67
67
Golfer 7
71
67
Golfer 8
68
72
Golfer 9
67
72
Golfer 10...

Lack of sleep costs companies about $18 billion a year in lost
productivity according to the National Sleep Foundation. Companies
are waking up to the problem, however. Some even have quiet rooms
available for study or sleep. “Power naps” are in vogue (Athens
Daily News, Jan. 9, 2000). A major airline recently began
encouraging reservation agents to nap during their breaks. The
table below lists the number of complaints during the 6 months
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A market research firm is testing whether a new color scheme
for a client's website causes more time be spent reading the site.
To test this theory, the firm randomly selected 20 of the pages on
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The old color scheme was restored on Sunday. The average time in
minutes that people spent on each of the 20 pages was recorded.
Assume that both of the populations are normally...

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