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Calculate the standard error. May normality be assumed? (Round your answers to 4 decimal places.) Standard Error Normality No (a) (b) (c) n = 23, TT = .38 n = 48, TT = .55 Yes n = 104, T = .10 Yes (p) n = 358, T = .004 No

Calculate the standard error. May normality be assumed? (Round your answers to 4 decimal places.) Standard Error Normality No (a) (b) (c) n = 23, TT = .38 n = 48, TT = .55 Yes n = 104, T = .10 Yes (p) n = 358, T = .004 No

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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**Exercise: Calculating Standard Error and Assessing Normality** **Instructions:** Calculate the standard error. May normality be assumed? (Round your answers to 4 decimal places.) | | n | π | Standard Error | Normality | |-----|----|----|----------------|-----------| | (a) | 23 | .38| | No | | (b) | 48 | .55| | Yes | | (c) | 104| .10| | Yes | | (d) | 358| .004 | | No | **Explanation:** For each scenario, determine the standard error of a proportion using the formula: \[ \text{Standard Error (SE)} = \sqrt{\frac{\pi(1-\pi)}{n}} \] Next, assess whether the sample size is large enough to assume normality, often using the rule of thumb that both \( n\pi \) and \( n(1-\pi) \) should be greater than 5. **Note:** - Ensure to calculate the standard error for each row. - Use the normality assessment guidelines to determine if normality can be assumed.
Transcribed Image Text:**Exercise: Calculating Standard Error and Assessing Normality** **Instructions:** Calculate the standard error. May normality be assumed? (Round your answers to 4 decimal places.) | | n | π | Standard Error | Normality | |-----|----|----|----------------|-----------| | (a) | 23 | .38| | No | | (b) | 48 | .55| | Yes | | (c) | 104| .10| | Yes | | (d) | 358| .004 | | No | **Explanation:** For each scenario, determine the standard error of a proportion using the formula: \[ \text{Standard Error (SE)} = \sqrt{\frac{\pi(1-\pi)}{n}} \] Next, assess whether the sample size is large enough to assume normality, often using the rule of thumb that both \( n\pi \) and \( n(1-\pi) \) should be greater than 5. **Note:** - Ensure to calculate the standard error for each row. - Use the normality assessment guidelines to determine if normality can be assumed.
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