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# Standard error is not related with the proportion of

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Standard error is not related with the proportion of the sample to the population. (c) It is false. We should collect more data because the formula for standard error is SD/SQRT (sample size). So the larger the sample, the smaller the standard error. (d) It is false because a wider confidence interval has greater width 4.12 Mental Health

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(a) If this sampling procedure was done many times and every time the interval was calculated, 95% times of the experiments the confidence interval will be between 3.40 and 4.24. (b) 95% confident means that if the experiment procedure is run for many times and every time the interval is calculated, 95% of the times the interval will come common. (c) A 99% confidence interval will be larger than the 95% confidence interval in this case. Because the number to calculate confidence interval with 99% is 2.58 and 95% is 1.96. (d) The standard error will be larger. Because the formula for standard error is SD/SQRT (sample size). When the sample becomes smaller, the standard error will become larger. 4.14 Thanksgiving spending, I (a) It is false because confidence interval estimates the parameter for the population, not just for the sample size. (b) It is false. The confidence interval may still be valid when the sample distribution is slightly skewed. (c) It is false. Samples of different size may have different confidence intervals. (d) It is true. According to the definition of the confidence interval, the confidence interval covers the parameter value with probability 95%.
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