Students in a statistics class are conducting a survey to estimate the mean number of units students at their college are enrolled in. The students collect a random sample of 49 students. The mean of the sample is 12.2 units. The standard deviation is 1.6 units. Click here to open the applet. What is the 95% confidence interval for the number of units students in their college are enrolled in? Assume that the distribution of individual student enrollment units at this college is approximately normal. A. (10.2, 14.2) B. (12.0, 12.4) C. (9.0, 15.4) D. (11.7, 12.7) E. No confidence interval can be constructed since the conditions for a T-interval are not met.
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We can use the formula: Margin of Error = t * (standard deviation / sqrt(sample size)) where t is the t-score for the desired confidence level (95% in this case) and degrees of freedom (sample size - 1). For a 95% confidence interval and 48 degrees of freedom Show more…
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