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Problems 18 – 22 Data for the days of rain in June from past years for three different states are given below. State 1 x x2 State 2 x x2 State 3 x x2 5 4 8 3 5 4 5 6 5 4 7 4 Σχι = N= 9 Σχ12 = ΣΧτοτ = Σχι = Σx2 = Exg = ΣΧτοτ2 = Σx32 =

Problems 18 – 22 Data for the days of rain in June from past years for three different states are given below. State 1 x x2 State 2 x x2 State 3 x x2 5 4 8 3 5 4 5 6 5 4 7 4 Σχι = N= 9 Σχ12 = ΣΧτοτ = Σχι = Σx2 = Exg = ΣΧτοτ2 = Σx32 =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Using the following data, help me solve questions 20-22
### Data for the Days of Rain in June from Past Years for Three Different States This table represents the data for the number of days it rained in June from past years across three different states. The table is accompanied by spaces for calculated sum and sum of squares for each state as well as a grand total. #### Table Explanation The table is organized in a grid format where days of rain are recorded as below: - **Rows and Columns:** - Each row corresponds to a different state and year. - Columns under each state header represent the days of rain. #### Data Representation - The states are labeled as State 1, State 2, and State 3. - For each state, the following data points are given: - **State 1**: - 4, 5, 3, 5 - **State 2**: - 4, 7, 6, 5, 4 - **State 3**: - 5, 4, 8 #### Numerical Summations Below the table are spaces for calculated sums, which have labels indicating their mathematical purpose: - **Σx₁**: Sum of all data points for State 1. - **Σx₁²**: Sum of the squares of all data points for State 1. - **Σx₂**: Sum of all data points for State 2. - **Σx₂²**: Sum of the squares of all data points for State 2. - **Σx₃**: Sum of all data points for State 3. - **Σx₃²**: Sum of the squares of all data points for State 3. - **Σx_total**: Grand total sum of all data points across all states. - **Σx_total²**: Grand total sum of all squares of data points across all states. - **N**: Total number of data points. #### Example Calculation For illustration purposes, let’s consider the data for State 1: - **Σx₁** = 4 + 5 + 3 + 5 = 17 - To find **Σx₁²**: - 4² = 16 - 5² = 25 - 3² = 9 - 5² = 25 - therefore,
Transcribed Image Text:### Data for the Days of Rain in June from Past Years for Three Different States This table represents the data for the number of days it rained in June from past years across three different states. The table is accompanied by spaces for calculated sum and sum of squares for each state as well as a grand total. #### Table Explanation The table is organized in a grid format where days of rain are recorded as below: - **Rows and Columns:** - Each row corresponds to a different state and year. - Columns under each state header represent the days of rain. #### Data Representation - The states are labeled as State 1, State 2, and State 3. - For each state, the following data points are given: - **State 1**: - 4, 5, 3, 5 - **State 2**: - 4, 7, 6, 5, 4 - **State 3**: - 5, 4, 8 #### Numerical Summations Below the table are spaces for calculated sums, which have labels indicating their mathematical purpose: - **Σx₁**: Sum of all data points for State 1. - **Σx₁²**: Sum of the squares of all data points for State 1. - **Σx₂**: Sum of all data points for State 2. - **Σx₂²**: Sum of the squares of all data points for State 2. - **Σx₃**: Sum of all data points for State 3. - **Σx₃²**: Sum of the squares of all data points for State 3. - **Σx_total**: Grand total sum of all data points across all states. - **Σx_total²**: Grand total sum of all squares of data points across all states. - **N**: Total number of data points. #### Example Calculation For illustration purposes, let’s consider the data for State 1: - **Σx₁** = 4 + 5 + 3 + 5 = 17 - To find **Σx₁²**: - 4² = 16 - 5² = 25 - 3² = 9 - 5² = 25 - therefore,
### Statistics Practice Questions #### 20. Calculate the Ratio. a. 0.51 b. 0.341 c. 2.49 d. 3.76 **Ans.** __________ #### 21. Let's say (instead of your calculations from #19 and #20 above) you found: F = 4.2, df (numerator) = 4, df (denominator) = 8 (If you use the table in the book, choose the value below that fits in the range you find.) a. 0.381 b. 0.304 c. 0.804 d. 0.086 **Ans.** __________ #### 22. Let's say you fail to reject the Null Hypothesis for this problem. Choose the best conclusion. a. At α = 0.05, the data indicate the population means for the three states differ. b. At α = 0.01, the data indicate the population means for the three states differ. c. At α = 0.05, the data indicate the population means for the three states are the same. d. At α = 0.01, the data indicate the population means for the three states are the same. **Ans.** __________
Transcribed Image Text:### Statistics Practice Questions #### 20. Calculate the Ratio. a. 0.51 b. 0.341 c. 2.49 d. 3.76 **Ans.** __________ #### 21. Let's say (instead of your calculations from #19 and #20 above) you found: F = 4.2, df (numerator) = 4, df (denominator) = 8 (If you use the table in the book, choose the value below that fits in the range you find.) a. 0.381 b. 0.304 c. 0.804 d. 0.086 **Ans.** __________ #### 22. Let's say you fail to reject the Null Hypothesis for this problem. Choose the best conclusion. a. At α = 0.05, the data indicate the population means for the three states differ. b. At α = 0.01, the data indicate the population means for the three states differ. c. At α = 0.05, the data indicate the population means for the three states are the same. d. At α = 0.01, the data indicate the population means for the three states are the same. **Ans.** __________
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