Variable 1: T1 Student\'s Sex Take a random sample 150 Calculate 95% confidence
ID: 3276683 • Letter: V
Question
Variable 1: T1 Student's Sex Take a random sample 150 Calculate 95% confidence interval for variable Calculate 90% confidence interval for variable Case Processing Summary Cases Missing Valid Total Percent Percent Percent l 1501100096| 01 | T1 Students sex 0.0% 1501 100.0% Descriptives Statistic Std. Error 1.45 1.37 1.53 1.45 1.00 249 499 T1 Student's Mean 041 95% Confidence Interval for Mean 5% Trimmed Mean Median Variance Std. Deviation Minimumm Maximunm Ran interquartile Range Skewness Kurtosis sex Lower Bound Upper Bound 189 198 1.991 394Explanation / Answer
The 95% confidence interval for mean is (1.37, 1.53).
The 90% confidence interval for mean is (1.39, 1.52).
The 90% confidence interval is narrower than 95% confidence interval. That is as the confidence interval decreases, confidence interval also decreases.
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In the formula of margin of error sample size come into denominator. So as the sample size increases, margin of error decrease. As the margin of error decreases, confidence interval become narrower.
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