Exam 1

1. Metainformation

   Tag	Value
   file	Inferential_Statistics_vufsw-independentsamplesmeans-1174-en_vufsw-independentsamplesmeans-1174-en
   name	vufsw-independentsamplesmeans-1174-en
   section	inferential statistics/parametric techniques/t-test/independent samples means
   type	schoice
   solution	TRUE, FALSE, FALSE, FALSE
   Type	performing analysis
   Program	calculator
   Language	English
   Level	statistical thinking

   Question

   With two brands of candles (Brand X and Brand Y), it has been tested how many hours they will last. The results are below.

   

   H₀: mean1 - mean2 = 0
   H_a: mean1 - mean2 is not equal to 0

   Draw conclusions about the hypotheses with a significance level of .01 (alpha = 1%).

   
   
   1. TRUE: We can reject the null hypothesis, since the absolute observed t-value is greater than the critical t-value.
   2. FALSE: We can not reject the null hypothesis, since the absolute observed t-value is greater than the critical t-value.
   3. FALSE: We can reject the null hypothesis, since the absolute observed t-value is less than the critical t-value.
   4. FALSE: We can not reject the null hypothesis, since the absolute observed t-value is less than the critical t-value.
   
   

   Solution

   We can reject the null hypothesis, since the absolute observed t-value is greater than the critical t-value.
   We can calculate the t value with:

   Compare means: (ȳ₂ - ȳ₁) ± t(se) with se = sqrt [ (s₁² / n₁) + (s₂² / n₂) ]
   Test H₀ : μ1 = μ2 using t = (ȳ₂ - ȳ₁) / se

   Language
   Nederlands

   Levels of Difficulty
   Medium

   M&T BIS
   Default value

   M&T Hypothesis testing: means
   Default value

   
   
   1. True
   2. False
   3. False
   4. False