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Question

Match the items in List – I with List – II :
List – IList – II
I. Type I ErrorA. Inherent variance
II. Ogive CurveB. Retain Ho when it is false
III. Within group varianceC. Measure of discrepancy between expected and observed frequencies
IV. Type II ErrorD. Post HOC test.
V. Chi-square testE. Reject Ho when it is true
VI. Between group VarianceF. Inherent variance + treatment effect
G. Cumulative % curve

Codes :
I II III IV V VI

The correct answer is
E G A B C F

Solution: Matching Statistical Lists

Matching List – I with List – II

The question requires matching statistical terms in List – I with their corresponding descriptions or related concepts in List – II. Based on the provided correct answer, the matches are as follows:

  • Type I Error (I) is matched with Reject Ho when it is true (E). This is because a Type I error occurs when a true null hypothesis is incorrectly rejected.
  • Ogive Curve (II) is matched with Cumulative % curve (G). An Ogive is a graphical representation of a cumulative frequency distribution.
  • Within group variance (III) is matched with Inherent variance (A). This variance represents the random error or natural variation within samples, independent of any treatment effect.
  • Type II Error (IV) is matched with Retain Ho when it is false (B). A Type II error occurs when a false null hypothesis is not rejected.
  • Chi-square test (V) is matched with Measure of discrepancy between expected and observed frequencies (C). The Chi-square statistic quantifies the difference between observed counts and expected counts in categorical data analysis.
  • Between group Variance (VI) is matched with Inherent variance + treatment effect (F). This variance measures the differences between the means of different groups, reflecting both inherent variability and the impact of any treatment or factor being studied.

Summary of Matches

The correct pairings are:

  • I – E
  • II – G
  • III – A
  • IV – B
  • V – C
  • VI – F

Therefore, the code representing these matches is E G A B C F.

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Important Questions from Probability and Statistics

  1. In a frequency curve, what is plotted on the vertical axis?

  2. If the probability of a bad reaction from a certain injection is 0.001, the chance that out of 2000 individuals, more than two will suffer of a bad reaction is

  3. If x and y are deviation from mean x̅ and y̅ respectively and if r = 0.5, ∑xy =  120, σy = 8 and ∑x 2= 90, what is the value of 'n' ?

  4. In an examination involving multiple choice questions, a student works out the solution in 50% of the questions. In the remaining questions the student guesses the answer. However, when the answer is guessed the probability that it is correct is 0.30. When the student works out the solutions it may be wrong with probability 0.10.

    If the answer to a particular question is correct, what is the probability that the student guessed the answer?

  5. The lengths of a large stock of titanium rods follow a normal distribution with a mean (μ) of 440 mm and a standard deviation (σ) of 1 mm. What is the percentage of rods whose lengths lie between 438 mm and 441 mm?

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