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 mmhos/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, 46.9Use the F-test at level α = 0.05 to test for any differences in true average yield due to the different salinity levels. State the appropriate hypotheses.- \( H_0 \): \( \mu_1 = \mu_2 = \mu_3 = \mu_4 \) \( H_a \): at least two \( \mu_i \)'s are equal- \( H_0 \): \( \mu_1 = \mu_2 = \mu_3 = \mu_4 \) \( H_a \): all four \( \mu_i \)'s are unequal- \( H_0 \): \( \mu_1 = \mu_2 = \mu_3 = \mu_4 \) \( H_a \): at least two \( \mu_i \)'s are unequal- \( H_0 \): \( \mu_1 \neq \mu_2 \neq \mu_3 \neq \mu_4 \) \( H_a \): all four \( \mu_i \)'s are equal**Calculate the test statistic.** (Round your answer to two decimal places.)\[ f = \_\_\_\_\_ \]

Answered: The following data refers to yield of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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4/10 Determine the P value. Round to three decimal places as needed.
The data below are the temperatures on randomly chosen days during a summer class and the number of absences on thos coefficient, r. Temperatur, x 70 83 89 88 86 96 73 98 78 Number of absences, y - 1 3 6 6 4 11 0 11 1 O A. 0.819 ОВ. 0.980 O C. 0.881 O D. 0.890 S. ces Click to select your answer. Tools Review for the Midterm Exam Part ii a ere to search bp ho te 144 %24 3. R.
Penicillin is produced by the Penicillium fungus, which is grown in a broth whose sugar content must be carefully controlled. Several samples of broth were taken on three successive days, and the amount of dissolved sugars, in milligrams per milliliter, was measured on each sample. The results were as follows. Day 1 : 5.2 5.5 5.1 4.9 5.3 5.0 5.2 5.1 5.4 5.2 4.8 5.1 5.4 Day 2 : 5.8 5.1 5.3 5.5 5.2 4.9 5.4 5.0 5.4 5.0 5.6 5.4 5.6 Day 3 : 5.9 4.9 5.2 5.3 5.1 5.4 5.3 5.8 5.5 5.4 5.4 5.4 5.2 Can you conclude that the mean sugar concentration differs among the three days? Use the =α0.05 level of significance and the ANOVA table shown below. One-way ANOVA: Sugar Concentration Source DF SS MS F P Days 2 0.2851 0.1426 2.3135 0.1134 Error 36 2.2185 0.0616…
The data below give the concentration of thiol (NM) in the blood lysate for two groups of volunteers. The first group of volunteers is considered 'normal', and the members of the second group of volunteers suffer from rheumatoid arthritis. a Normal: 1.85 Rheumatoid: 2.81 1.90 2.85 2.35 4.08 1.45 3.95 1.83 3.27 1.92 3.77 Find the sample mean and sample standard deviation for the 'Normal and 'Rheumatoid' groups, respectively. (Show the working steps.) 2.15 b Based on the result of (a), what kind of the hypothesis test should be used if we want to investigate whether the mean concentration of thiol is the same for the two groups?
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Periodically, the county Water Department tests the drinking water of homeowners for contaminants such as lead and copper. The lead and copper levels in water specimens collected in 1998 for a sample of 10 residents of a subdevelopement of the county are shown below. lead (g/L) copper (mg/L) 2.9 0.2 5.1 4.2 5.5 1.2 0.3 1.3 4.9 1.7 0.133 0.774 0.214 0.671 0.444 0.234 0.357 0.761 0.176 0.888 (a) Construct a 99% confidence interval for the mean lead level in water specimans of the subdevelopment. OSASO (b) Construct a 99% confidence interval for the mean copper level in water specimans of the subdevelopment. ≤H≤
The measurements of suspended solid material concentration in water samples is illustrated in the figure below. Determine approximately the 1QR value of the data.
The data in the table below consist of measurements y₁, y2, y3, and yn of the ramus bone at four different ages on each of 20 boys. 1. Find y. 2. Find Sn 3. Find R Ramus Bone Length at Four Different Ages for 20 Boys. Age Individual 1 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 8 yr (yi) 47.8 46.4 46.3 45.1 47.6 52.5 51.2 49.8 48.1 45 51.2 48.5 52.1 48.2 49.6 50.7 47.2 53.3 46.2 46.3 8½ yr (Y2) 48.8 47.3 46.8 45.3 48.5 53.2 53 50 50.8 47 51.4 49.2 52.8 48.9 50.4 51.7 47.7 54.6 47.5 47.6 9 yr (Y3) 49 47.7 47.8 46.1 48.9 53.3 54.3 50.3 52.3 47.3 51.6 53 53.7 49.3 51.2 52.7 48.4 55.1 48.1 51.3 9½ yr (Y4) 49.7 48.4 48.5 47,2 49.3 53.7 54.5 52.7 54.4 48.3 51.9 55.5 55 49.8 51.8 53.3 49.5 55.3 48.4 51.8
The National Institute of Standard and Technology provided exact data on conductivity properties of materials. Following are conductivity measurements for 11 randomly selected pieces of a particular type of glass. Click this button to reveal the data Conductivtity 1.11 1.07 1.11 1.07 1.12 1.08 0.98 0.98 1.02 0.95 0.95 Download CSV file Download the .csv file or copy/paste the data into Excel. After downloading .csv file, you may want to save it as a Excel Workbook. Based on these data, is there evidence that the median conductivity of this type of glass is greater than 1? Use a 10% level of significance level. a. How many samples of data are there in this study? b. What test you would use for this problem? Select an answer c. The null hypothesis of this test states that Select an answer d. What type of test is this? O One-side Two-side
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 < 0.001
For each of the questions 1-4, answer the following (a-h are steps in a Hypothesis Test, see page 376 of your ebook). For steps f and g do both the p-value method and the critical value method: a) Claim in English: b) Claim in Symbolic Form: c) Null and Alternate Hypothesis: d) Significance Level: e) Test Statistic: f) Find Values: g) Make a Decision: h) Restate the Decision in Nontechnical Terms: i) If this is a statistically significant result, is it also a practically significant result?
Here are some data on the heights of giraffe. Calculate a 100% CI: 3.6 3.7 3.8 3.8 4.1 4.2 4.2 4.2 4.2 4.5 4.6 5.1 Some possibly useful statistics: = 4.167, s = 0.4250

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