Suppose the salinity of water samples taken from 3 new and separate sites in the Bimini...
Suppose the salinity of water samples taken from 3 new and separate sites in the Bimini Lagoon was measured with the results given below:
Site 1: 51.94 51.95 57.02 52.47 49.50 47.23 43.78 51.97
52.23
Site 2: 59.47 59.48 64.47 59.99 57.07 54.83 51.43 59.50
Site 3: 50.61 50.63 55.80 51.16 48.13 45.81 42.28 50.65 50.91
Basic Statistics for the 3 samples:
| Level | N | Mean | SD |
| 1 | 9 | 50.90 | 3.73 |
| 2 | 8 | 58.28 | 3.89 |
| 3 | 9 | 49.55 | 3.81 |
One-way ANOVA output:
| Source | DF | SS | MS | F | P |
| Factor | 2 | 367.55 | 183.78 | 12.68 | 0.0002 |
| Error | 23 | 333.36 | 14.49 | ||
| Total | 25 | 700.91 |
Using the data above, construct simultaneous (1−α*)100% confidence intervals for the pairwise differences in means using the Bonferroni procedure. Use an overall experiment-wide α = 0.05.
What is the value of α*? Answer: 0.0167
The critical t-value has a student's t distribution with how many degress of freedom? Answer: 23
What is the critcal t-value? Answer: 2.5820
1. Calculate the confidence interval for the difference in means for Levels 1 and 2, i.e., μ1−μ2.
2. What is your conclusion about the relative size of
the means for Levels 1 and 2?
μ1 ≤ μ2
μ1 ≠ μ2
μ1 = μ2
μ1 > μ2
3. Calculate the confidence interval for the difference in means for Levels 1 and 3, i.e., μ1−μ3.
4. What is your conclusion about the relative size of
the means for Levels 1 and 3?
μ1 = μ3
μ1 ≠ μ3
μ1 > μ3
μ1 < μ3
5. Calculate the confidence interval for the difference in means for Levels 2 and 3, i.e., μ2−μ3
6. What is your conclusion about the relative size of
the means for Levels 2 and 3?
μ2 ≠ μ3
μ2 > μ3
μ2 ≤ μ3
μ2 = μ3
Homework Answers
Add Answer to:
Suppose the salinity of water samples taken from 3 new and
separate sites in the Bimini...
Suppose the salinity of water samples taken from 3 new and separate sites in the Bimini...
Suppose the salinity of water samples taken from 3 new and separate sites in the Bimini Lagoon was measured with the results given below: Site 1: 49.59 49.60 54.11 50.06 47.42 45.40 42.32 Site 2: 54.66 54.67 59.74 55.19 52.22 49.95 46.50 54.69 54.95 45.04 54.88 54.02 Site 3: 45.65 45.66 50.72 46.18 43.22 40.95 37.50 45.68 45.94 36.05 45.87 Basic Statistics for the 3 samples: Level N Mean SD 1 7 48.36 3.77 2 12 53.04 4.07 3 11...
To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers...
To test whether the mean time needed to mix a batch of material
is the same for machines produced by three manufacturers, a
chemical company obtained the following data on the time (in
minutes) needed to mix the material.
Manufacturer
1
2
3
20
28
20
25
25
18
24
32
24
27
27
18
(a)
Use these data to test whether the population mean times for
mixing a batch of material differ for the three manufacturers.
Use
α =...
Analyses of drinking water samples for 100 homes in each of two different sections of a...
Analyses of drinking water samples for 100 homes in each of two different sections of a city gave the following means and standard deviations of lead levels (in parts per million): Major Section 1 Section2 32 38.1 5.7 5.8 Find a 95% confidence interval for lower limit upper limit- 1712 Suppose that the city environmental engineers will be concerned only if they detect a difference of more than 5 parts per million in the two sections of the city. Based...
To test whether the mean time needed to mix a batch of material is the same...
To test whether the mean time needed to mix a batch of material
is the same for machines produced by three manufacturers, a
chemical company obtained the following data on the time (in
minutes) needed to mix the material.
Manufacturer
1
2
3
21
27
19
26
27
19
23
31
23
26
23
23
(a)
Use these data to test whether the population mean times for
mixing a batch of material differ for the three manufacturers.
Use
α =...
Two samples are taken with the following sample means, sizes, and standard deviations ¯ x1 x¯1...
Two samples are taken with the following sample means, sizes, and standard deviations ¯ x1 x¯1 = 31 ¯ x2 x¯2 = 28 n1 n1 = 70 n2 n2 = 46 s1 s1 = 4 s2 s2 = 2 We want to estimate the difference in population means using a 89% confidence level. What distribution does this require? t, df = 108 z NOTE: The more accurate df formula, used above, is: df= ( s 2 1 n1 + s...
The following statistics are calculated by sampling from four normal populations whose variances are equal: (You...
The following statistics are calculated by sampling from four normal populations whose variances are equal: (You may find it useful to reference the t table and the gtable.) X1 163, ni = 5; 2 = 171, n2 = 5; J3 = 166, n3 = 5; X4 = 158, n4 = 5; MSE = 41.2 a. Use Fisher's LSD method to determine which population means differ at a = 0.05. (Negative values should be indicated by a minus sign. Round intermediate...
Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given...
Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population 1 2 Sample Size 39 44 Sample Mean 9.3 7.3 Sample Variance 8.5 14.82 Construct a 90% confidence interval for the difference in the population means. (Use μ1 − μ2. Round your answers to two decimal places.) __________ to ____________ Construct a 99% confidence interval for the difference in the population means. (Round your answers to two decimal places.) __________ to _____________
Two random samples are selected from two independent populations. A summary of the samples sizes, sample...
Two random samples are selected from two independent populations. A summary of the samples sizes, sample means, and sample standard deviations is given below: n1=51, n2=46, x¯1=57.8, x¯2=75.3, s1=5.2 s2=11 Find a 94.5% confidence interval for the difference μ1−μ2μ1−μ2 of the means, assuming equal population variances. Confidence Interval =
Two random samples are selected from two independent populations. A summary of the samples sizes, sample...
Two random samples are selected from two independent populations. A summary of the samples sizes, sample means, and sample standard deviations is given below: n1=39, x¯1=57, s1=5.8 n2=50, x¯2=74.2 ,s2=10 Find a 98% confidence interval for the difference μ1−μ2 of the means, assuming equal population variances. Confidence Interval =
Chapter 13 Analysis of Variance Saved Help Save & Exl Chec 3 The following statistics are computed by sampling from three normal populations whose variances are equal: (You may find it useful to...
Chapter 13 Analysis of Variance Saved Help Save & Exl Chec 3 The following statistics are computed by sampling from three normal populations whose variances are equal: (You may find it useful to reference the ttable and the gtable.) 10 points a. Calculate 99% confidence intervals for μ1-μ2, μ1 -μ3, and μ2-μ3 to test for mean differences with Fisher's LSD approach. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round...
To test whether the mean time needed to mix a batch of material
is the same for machines produced by three manufacturers, a
chemical company obtained the following data on the time (in
minutes) needed to mix the material.
Manufacturer
1
2
3
20
28
20
25
25
18
24
32
24
27
27
18
(a)
Use these data to test whether the population mean times for
mixing a batch of material differ for the three manufacturers.
Use
α =...
Analyses of drinking water samples for 100 homes in each of two different sections of a city gave the following means and standard deviations of lead levels (in parts per million): Major Section 1 Section2 32 38.1 5.7 5.8 Find a 95% confidence interval for lower limit upper limit- 1712 Suppose that the city environmental engineers will be concerned only if they detect a difference of more than 5 parts per million in the two sections of the city. Based...
To test whether the mean time needed to mix a batch of material
is the same for machines produced by three manufacturers, a
chemical company obtained the following data on the time (in
minutes) needed to mix the material.
Manufacturer
1
2
3
21
27
19
26
27
19
23
31
23
26
23
23
(a)
Use these data to test whether the population mean times for
mixing a batch of material differ for the three manufacturers.
Use
α =...
The following statistics are calculated by sampling from four normal populations whose variances are equal: (You may find it useful to reference the t table and the gtable.) X1 163, ni = 5; 2 = 171, n2 = 5; J3 = 166, n3 = 5; X4 = 158, n4 = 5; MSE = 41.2 a. Use Fisher's LSD method to determine which population means differ at a = 0.05. (Negative values should be indicated by a minus sign. Round intermediate...
Chapter 13 Analysis of Variance Saved Help Save & Exl Chec 3 The following statistics are computed by sampling from three normal populations whose variances are equal: (You may find it useful to reference the ttable and the gtable.) 10 points a. Calculate 99% confidence intervals for μ1-μ2, μ1 -μ3, and μ2-μ3 to test for mean differences with Fisher's LSD approach. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 11 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 11 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 11 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 11 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 11 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 11 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 11 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 11 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 11 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 11 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 11 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 11 months ago