if a sample of 36 measurements has a variance of 25, what is the standard error?\n6\n5\n25/36\n5/6\nquestion…

if a sample of 36 measurements has a variance of 25, what is the standard error?\n6\n5\n25/36\n5/6\nquestion 5\nif you run a t - test and you get p < 0.04, what does the value mean?\nwe can be completely confident the means are different\nthe two populations have different means\nthe probability that the two populations have the same mean is less than 4%\nnone of the above are true

if a sample of 36 measurements has a variance of 25, what is the standard error?\n6\n5\n25/36\n5/6\nquestion 5\nif you run a t - test and you get p < 0.04, what does the value mean?\nwe can be completely confident the means are different\nthe two populations have different means\nthe probability that the two populations have the same mean is less than 4%\nnone of the above are true

Answer

Answer:

  1. D. 5/6
  2. C. The probability that the two populations have the same mean is less than 4%

Explanation:

Step1: Recall standard - error formula

$SE=\frac{\sigma}{\sqrt{n}}$, $\sigma^{2} = 25$ so $\sigma = 5$, $n = 36$.

Step2: Calculate standard error

$SE=\frac{5}{\sqrt{36}}=\frac{5}{6}$.

Step3: Interpret p - value

A p - value of less than 0.04 means probability of same means < 4%.