Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_vufgb-onesamplemean-047-en_vufgb-onesamplemean-047-en
   name	vufgb-onesamplemean-047-en
   section	Inferential Statistics/Parametric Techniques/t-test/One sample mean, confidence interval
   type	schoice
   solution	FALSE, TRUE, FALSE, FALSE
   Type	Calculation
   Program
   Language	English
   Level	Statistical Thinking

   Question

   The mean in a sample of 25 is 15, the variance 9.

   Calculate the 95% confidence interval for the population mean.

   
   
   1. FALSE: 13.82 ; 16.18
   2. TRUE: 13.76 ; 16.24
   3. FALSE: 11.28 ; 18.72
   4. FALSE: 14.75 ; 15.25
   
   

   Solution

   $95\% \; BI:\;gemiddelde\pm t._{025}\times se$

   So you must first find the t-value and calculate the standard error.

   • • value at $df=n-1=25-1=24:\;2.064$

   $se = \frac{s}{\sqrt{n}} = \frac{3}{5} = 0.6$

   Filling in gives: $15 \pm 2.064 \times 0.6 \rightarrow 13.76\; ;\; 16.24$

   
   
   1. Incorrect
   2. Correct
   3. Incorrect
   4. Incorrect