A scientist investigated the effect of cross-fertilization on the heights of plants. In one study, the scientist planted 15 pairs of a species of plant. Each pair consisted of one cross-fertilized plant and one self-fertilized plant grown in the same pot. The accompanying table gives the height differences, in eighths of an inch, for the 15 pairs. Each difference is obtained by subtracting the height of the self-fertilized plant from that of the cross-fertilized plant. Complete parts (a) through (e) below. Click here to view the data. Click here to view a table of critical values of t. a. Identify the variable under consideration. What is the variable? * Height b. Identify the two populations What are the populations? VA. The self-fertilized plants and the cross-fertilized plants c. Identify the paired-difference variable. What is the paired-difference variable? *C. Height of the cross-fertilized plant - height of the self-fertilized plant d. Are the numbers in the table paired differences? Why or why not? Since one cross-fertilized plant and one self-fertilized plant are in each pot, the numbers are paired differences. e. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean heights of cross-fertilized and self-fertilized plants differ? (Note: d= 21.33 and s, = 37.14.) Preliminary data analyses indicate that use of a paired t-test is reasonable. Perform the hypothesis test by using the critical-value approach. What are the hypotheses for the t-test? O A. Hg Hi =H2 Height Differences B. Họ H =P2 OC. Hgi H: H2 16 6 49 22 54 - 63 29 23 48 78 20 20 - 46 OD. Ho: H, = 2 H, H > H2 58 Find the test statistic. Print Done t= (Round to two decimal places as needed.) Find the critical value(s). The critical valuets) is/are (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion for the hypothesis test? Họ: the dala sufficient evidence al the 1% significarice level that the
A scientist investigated the effect of cross-fertilization on the heights of plants. In one study, the scientist planted 15 pairs of a species of plant. Each pair consisted of one cross-fertilized plant and one self-fertilized plant grown in the same pot. The accompanying table gives the height differences, in eighths of an inch, for the 15 pairs. Each difference is obtained by subtracting the height of the self-fertilized plant from that of the cross-fertilized plant. Complete parts (a) through (e) below. Click here to view the data. Click here to view a table of critical values of t. a. Identify the variable under consideration. What is the variable? * Height b. Identify the two populations What are the populations? VA. The self-fertilized plants and the cross-fertilized plants c. Identify the paired-difference variable. What is the paired-difference variable? *C. Height of the cross-fertilized plant - height of the self-fertilized plant d. Are the numbers in the table paired differences? Why or why not? Since one cross-fertilized plant and one self-fertilized plant are in each pot, the numbers are paired differences. e. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean heights of cross-fertilized and self-fertilized plants differ? (Note: d= 21.33 and s, = 37.14.) Preliminary data analyses indicate that use of a paired t-test is reasonable. Perform the hypothesis test by using the critical-value approach. What are the hypotheses for the t-test? O A. Hg Hi =H2 Height Differences B. Họ H =P2 OC. Hgi H: H2 16 6 49 22 54 - 63 29 23 48 78 20 20 - 46 OD. Ho: H, = 2 H, H > H2 58 Find the test statistic. Print Done t= (Round to two decimal places as needed.) Find the critical value(s). The critical valuets) is/are (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion for the hypothesis test? Họ: the dala sufficient evidence al the 1% significarice level that the
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.6: Problem Solving: Using Charts
Problem 2OE
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Transcribed Image Text:Ascientist investigated the effect of cross-fertilization on the heights of plants. In one study, the scientist planted 15 pairs of a species of plant. Each pair consisted of one cross-fertilized plant and one self-fertilized plant grown in the same pot.
The accompanying table gives the height differences, in eighths of an inch, for the 15 pairs. Each difference is obtained by subtracting the height of the self-fertilized plant from that of the cross-fertilized plant. Complete parts (a) through (e)
below.
Click here to view the data. Click here to viewa table of critical values of t.
a. Identify the variable under consideration.
What is the variable?
V Height
b. Identify the two populations
What are the populations?
A. The self-fertilized plants and the cross-fertilized plants
c. Identify the paired-difference variable
What is the paired-difference variable?
O
C. Height of the cross-fertilized plant – height of the self-fertilized plant
d. Are the numbers in the table paired differences? Why or why not?
Since
one cross-fertilized plant and one self-fertilized plant are in each pot, the numbers
are paired differences.
e. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean heights of cross-fertilized and self-fertilized plants differ? (Note: d= 21.33 and s, = 37.14.) Preliminary data analyses indicate that use of a
paired t-test is reasonable. Perform the hypothesis test by using the critical-value approach.
What are the hypotheses for the t-test?
O A. Hg: H1 = H2
1 Height Differences
B. Ho: H1=P2
OC. Họ: H1> H2
49
- 63
29
6
16
6.
22
48
20
20
O D. Ho: H, = H2
- 46
54
23
78
58
Find the test statistic.
Print
Done
t=
(Round to two decimal places as needed.)
Find the critical value(s).
The critical valuels) is/are
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
What is the conclusion for the hypothesis test?
Họ: the dala
sufficient evidence at the 1% significance level that the
Transcribed Image Text:df
10.10
t0.025
10.01
10.005
df
3.078
6.314
12.706
31.821
6.965
63.657
2.920
2.353
2.
1.886
4.303
3.182
9.925
3
1.638
4.541
5.841
1.533
2.132
2.776
3.747
4.604
1.476
2.015
1.943
1.895
1.860
1.833
2.571
2.447
3.365
3.143
2.998
2.896
4.032
3.707
5
6.
1.440
6.
7
1.415
1.397
2.365
2.306
3.499
3.355
7
8.
8
9.
1.383
2.262
2.821
3.250
9.
10
1.372
1.812
2.228
2.764
3.169
3.106
3.055
10
11
1.363
1.796
2.201
2.718
11
1.356
1.782
2.179
2.160
2.145
12
2.681
12
13
1.350
1.345
1.771
1.761
2.650
2.624
3.012
13
14
2.977
14
15
16
1.341
1.337
1.753
2.131
2.602
2.583
2.567
2.552
2.539
2.947
2.921
15
16
1.746
2.120
17
1.333
1.740
2.110
2.898
17
18
1.330
2.878
1.734
1.729
2.101
18
19
1.328
2.093
2.861
19
20
1.325
1.725
2.086
2.528
2.845
20
21
1.323
1.721
1.717
2.080
2.518
2.831
2.819
21
22
1.321
2.074
2.508
22
23
1.319
1.714
2.069
2.500
2.807
23
24
1.318
1.711
2.064
2.492
2.797
24
25
1.316
1.708
2.060
2.485
2.787
25
26
1.315
1.706
2.056
2.479
2.473
2.467
2.462
2.779
26
27
27
1.314
2.052
1.703
1.701
2.771
28
29
28
29
1.313
2.048
2.763
1.311
1.699
2.045
2.756
30
1.697
2.042
2.040
2.037
2.035
1.310
2.457
2.750
30
31
1.309
1.696
2.453
2.744
31
32
33
1.309
1.694
2.449
2.738
2.733
2,728
32
33
1.308
1.692
2.445
34
1.307
1.691
2.032
2.441
34
35
1.306
1.690
2.030
2.438
2.724
2.719
2.715
35
36
1.306
1.688
2.028
2.434
36
37
1.305
1.687
2.026
2.431
37
38
1.304
1.686
1.685
2.024
2.023
2.429
2.712
2.708
38
39
1.304
2.426
39
40
1.303
1.684
2.021
2.423
2.704
40
41
1.303
2.020
1.683
1.682
1.681
2.421
2.701
41
1.302
1.302
42
2.018
2.418
2.698
42
43
2.017
2.015
2.416
2.695
2.692
43
44
1.301
1.680
2.414
44
2.014
2.013
45
2.412
2.410
2.690
2.687
1.301
1.679
1.679
45
46
1.300
46
47
1.300
1.678
2.012
2.408
2.685
47
48
1.299
1.677
2.011
2.407
2.682
48
49
1.299
1.677
2.010 2.405
2.680
49
df
1o.10
taes
t0.025
t0.005
df
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