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_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_forwardCalcium is essential to tree growth because it promotes the formation of wood and maintains cell walls. In 1990, the concentration of calcium in precipitation in a certain area was 0.15 milligrams per liter (mg/L). A random sample of 10 precipitation dates in 2007 results in the following data table. Complete parts (a) through (c) below. Click the icon to view the data table. (a) State the hypotheses for determining if the mean concentration of calcium precipitation has changed since 1990. Но Ho: 0.15 mg/L H1: 0.15 mg/L i Data Table (b) Construct a 95% confidence interval about the sample mean concentration of calcium precipitation. The lower bound is The upper bound is (Round to four decimal places as needed.) 0.237 0.067 0.224 0.126 0.081 0.131 0.075 0.171 0.314 0.091 (c) Does the sample evidence suggest that calcium concentrations have changed since 1990? Print Done A. Yes, because the confidence interval does not contain 0.15 mg/L. B. Yes, because the confidence interval contains…arrow_forward
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