Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 10.3, Problem 22E
The following data refers to yield of tomatoes (kg/plot) for four different levels of salinity. Salinity level here refers to electrical conductivity (EC), where the chosen levels were EC = 1.6, 3.8, 6.0, and 10.2 nmhos/cm.
| 1.6: | 59.5 | 53.3 | 56.8 | 63.1 | 58.7 |
| 3.8: | 55.2 | 59.1 | 52.8 | 54.5 | |
| 6.0: | 51.7 | 48.8 | 53.9 | 49.0 | |
| 10.2: | 44.6 | 48.5 | 41.0 | 47.3 | 46.1 |
Use the F test at level α = .05 to test for any differences in true average yield due to the different salinity levels.
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The following data refers to yield of tomatoes (kg/plot) for four different levels of salinity. Salinity level here refers to electrical conductivity (EC), where the chosen levels were EC = 1.6, 3.8, 6.0, and 10.2 nmhos/cm. (Use i = 1, 2, 3, and 4 respectively.) 1.6: 59.1 53.1 56.9 63.8 58.1 3.8: 55.6 59.1 52.8 54.1 6.0: 51.6 48.6 53.5 49.2 10.2: 44.7 48.9 40.9 47.5 46.5
Calculate the test statistic. (Round your answer to two decimal places.)
The following data refers to yield of tomatoes (kg/plot) for four different levels of salinity. Salinity level here refers to electrical conductivity (EC), where the chosen levels were EC = 1.6, 3.8, 6.0, and 10.2 nmhos/cm. (Use i = 1, 2, 3, and 4 respectively.)
1.6: 59.3 53.9 56.5 63.1 58.6
3.8: 55.4 59.9 52.2 54.6
6.0: 51.2 48.3 53.1 48.9
10.2:
44.7 48.2 41.1 47.1 46.9
Use the F test at level a = 0.05 to test for any differences in true average yield due to the different salinity levels. State the appropriate hypotheses.
Hạ: at least two us are equal
O Ho: H = z = 43 = Ha
H: all four u,'s are unequal
O Ho: H = uz = H3 - Ha
Hạ: at least two 4's are unequal
H: all four u,'s are equal
Calculate the test statistic. (Round your answer to two decimal places.)
The following data refers to yield of tomatoes (kg/plot) for four different levels of salinity. Salinity level here refers to electrical conductivity (EC), where the chosen levels were EC = 1.6, 3.8, 6.0, and 10.2 nmhos/cm. (Use
i = 1, 2, 3, and 4 respectively.)
1.6: 59.8 53.5 56.1
63.6 58.2
3.8: 55.3 59.3 52.8 54.5
6.0: 51.4 48.2 53.9
48.6
10.2: 44.7 48.8
40.8
47.2 46.1
n USE SALT
Apply the modified Tukey's method to identify significant differences among u's. (Round your answers to two decimal places.)
W12
W13 =
W14 =
W23 =
W24 =
W34 =
Which pairs are significantly different? (Select all that apply.)
O the 1.6 group and the 3.8 group
O the 1.6 group and the 6.0 group
O the 1.6 group and the 10.2 group
O the 3.8 group and the 6.0 group
O the 3.8 group and the 10.2 group
O the 6.0 group and the 10.2 group
O There are no significant differences.
Chapter 10 Solutions
Probability and Statistics for Engineering and the Sciences
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- The following data refers to yield of tomatoes (kg/plot) for four different levels of salinity. Salinity level here refers to electrical conductivity (EC), where the chosen levels were EC = 1.6, 3.8, 6.0, and 10.2 nmhos/cm. (Use i = 1, 2, 3, and 4 respectively.) 1.6: 59.9 53.5 56.7 63.2 58.6 3.8: 55.6 59.6 52.6 54.5 6.0: 51.2 48.6 53.8 48.9 10.2: 44.3 48.4 41.0 47.9 46.5 In USE SALT Use the F test at level a = 0.05 to test for any differences in true average yield due to the different salinity levels. State the appropriate hypotheses. O Ho: H1 = H2 = !3 = H4 H: all four u's are unequal O Ho: H1 = H2 = H3 = H4 H: at least two u's are unequal O Ho: H1 # Hq # Hz# H4 H: all four u's are equal O Ho: H1* H2 * H3# H4 H: at least two u's are equal Calculate the test statistic. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? O P-value > 0.100 O 0.050 < p-value < 0.100 O 0.010 < p-value < 0.050 O 0.001 < P-value < 0.010 O P-value < 0.001arrow_forwardThe following data refers to yield of tomatoes (kg/plot) for four different levels of salinity. Salinity level here refers to electrical conductivity (EC), where the chosen levels were EC = 1.6, 3.8, 6.0, and 10.2 nmhos/cm. (Use i = 1, 2, 3, and 4 respectively.) 1.6: 59.4 53.4 56.3 63.2 58.4 3.8: 55.9 59.7 52.7 54.2 6.0: 51.7 48.2 53.9 49.0 10.2: 44.3 48.3 40.7 47.2 46.7 W23 = W 24 = W34 = USE SALT Apply the modified Tukey's method to identify significant differences among us. (Round your answers to two decimal places.) W12 = W13 = W14= Which pairs are significantly different? (Select all that apply.) Othe group and the 3.8 group the 1.6 group and the 6.0 group the 1.6 group and the 10.2 group the 3.8 group and the 6.0 group the 3.8 group and the 10.2 group O the 6.0 group and the 10.2 group There are no significant differences.arrow_forwardAn experiment was conducted to study the extrusion process of biodegradable packaging foam. Two of the factors considered for their effect on the foam diameter (mm) were the die temperature(145°C vs.155°C) and the die diameter (3 mm vs. 4 mm). The results are in the accompanying data table. The question are attached in a photoarrow_forward
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