Questions: Step 3. Compute the necessary statistics (checking your work with Jamvoi is encouraged). Complete the sum of squares table by filling in the blanks. Please use a whole number format with no decimals. If a value is negative, please use the negative sign before the value. Sum of Squares Table Participant Score x Deviation X-M Squared Deviation (x-M)^2 1 7 type your answer... type your answer... 2 9 type your answer... type your answer... 3 3 type your answer... type your answer... 4 11 type your answer... type your answer... 5 5 type your answer... type your answer... 6 3 type your answer... type your answer... 7 2 type your answer... type your answer... 8 M= type your answer... type your answer... type your answer... Σ= type your answer... type your answer... Compute the following statistics by answering the questions below. What is the value of the standard deviation? SD=√ choose your answer... = choose your answer... What is the value of the standard error? SE= choose your answer... 1 / choose your answer... choose your answer...

Step 3. Compute the necessary statistics (checking your work with Jamvoi is encouraged). Complete the sum of squares table by filling in the blanks. Please use a whole number format with no decimals. If a value is negative, please use the negative sign before the value. Sum of Squares Table Participant Score x Deviation X-M Squared Deviation (x-M)^2 1 7 type your answer... type your answer... 2 9 type your answer... type your answer... 3 3 type your answer... type your answer... 4 11 type your answer... type your answer... 5 5 type your answer... type your answer... 6 3 type your answer... type your answer... 7 2 type your answer... type your answer... 8 M= type your answer... type your answer... type your answer... Σ= type your answer... type your answer... Compute the following statistics by answering the questions below. What is the value of the standard deviation? SD=√ choose your answer... = choose your answer... What is the value of the standard error? SE= choose your answer... 1 / choose your answer... choose your answer...
Transcript text: Step 3. Compute the necessary statistics (checking your work with Jamvoi is encouraged). Complete the sum of squares table by filling in the blanks. Please use a whole number format with no decimals. If a value is negative, please use the negative sign before the value. Sum of Squares Table Participant Score $\mathbf{x}$ Deviation $\mathbf{X}-\mathbf{M}$ Squared Deviation $(\mathbf{x}-\mathbf{M})^{2}$ 1 7 type your answer... type your answer... 2 9 type your answer... type your answer... 3 3 type your answer... type your answer... 4 11 type your answer... type your answer... 5 5 type your answer... type your answer... 6 3 type your answer... type your answer... 7 2 type your answer... type your answer... 8 $\mathbf{M}=$ type your answer... type your answer... type your answer... $\sum=$ type your answer... type your answer... Compute the following statistics by answering the questions below. What is the value of the standard deviation? $S D=\sqrt{ } \text { choose your answer... }$ $\square$ $=$ choose your answer... What is the value of the standard error? $S E=$ $\square$ choose your answer... $1 /$ $\square$ choose your answer... choose your answer...
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Solution

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Solution Steps

Step 1: Calculate the Mean

The mean \( \mu \) is calculated using the formula: \[ \mu = \frac{\sum_{i=1}^N x_i}{N} = \frac{40}{7} = 6.0 \]

Step 2: Calculate Deviations

The deviations from the mean for each score \( x_i \) are computed as follows: \[ \text{Deviations} = [x_i - \mu] = [1.0, 3.0, -3.0, 5.0, -1.0, -3.0, -4.0] \]

Step 3: Calculate Squared Deviations

The squared deviations are calculated by squaring each deviation: \[ \text{Squared Deviations} = [(x_i - \mu)^2] = [1.0, 9.0, 9.0, 25.0, 1.0, 9.0, 16.0] \]

Step 4: Sum of Squared Deviations

The sum of squared deviations is given by: \[ \sum (x_i - \mu)^2 = 70.0 \]

Step 5: Calculate Variance

The variance \( \sigma^2 \) is calculated using the formula: \[ \sigma^2 = \frac{\sum (x_i - \mu)^2}{n-1} = \frac{70.0}{6} = 12.0 \]

Step 6: Calculate Standard Deviation

The standard deviation \( \sigma \) is the square root of the variance: \[ \sigma = \sqrt{12.0} = 3.0 \]

Step 7: Calculate Standard Error

The standard error \( SE \) is calculated using the formula: \[ SE = \frac{\sigma}{\sqrt{n}} = \frac{3.0}{\sqrt{7}} \]

Final Answer

The value of the standard deviation is \( \boxed{3} \) and the value of the standard error is \( \boxed{1.13} \).

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