StatCrunch University (StatCrunchU) is a large fictitious university with 46,000 virtual undergraduate students. Based on data from a random sample of 50 StatCrunchU students, we are 95% confident that the mean student loan debt for this population falls between $3,291.02 and $6,333.38. The margin of error is
One sample T confidence interval:
: Mean of variable
95 % confidence interval results:
Variable Sample Mean Std. Err. DF L. Limit U. Limit
Loans 4812.20 756.97 49 3291.02 6333.38
Decide if each of the following interpretations is valid or invalid.
95% of the time a sample mean will fall between $3,291.02 and $6,333.38
when the sample size is 50 . [Select] 95 %of the time the population mean will fall between $3,291.02 and $ 6,333.38 when the sample size is 50 . [Select]
95% of the time the confidence interval generated from a random sample of 50 StatCrunchU students will contain the true mean student loan debt at the university. [Select]
