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Model Paper 8 — Applied Maths STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceApplied MathsModel Paper 81 Mark
MCQ
A machine makes car wheels and in a random sample of 26 wheels, the test statistic is found to be 3.07. As per tdistribution test (of 5% level of significance), what can you say about the quality of wheels produced by the machine? (Use $\left.t_{25}(0.05)=2.06\right)$
  • A
    Different quality
  • ✓
    Inferior quality
  • C
    Same quality
  • D
    Superior quality
✓

Answer

Correct option: B.
Inferior quality
(b) Inferior quality
Explanation: Given n = 26 and t = 3.0
$\Rightarrow$ degree of freedom = n - 1 = 26 - 1 = 25
Now, level of significance = 5% = 0.05
$\begin{array}{l} t _{25}(0.05)=2.06 \\ \because t =3.07>2.06\end{array}$
So, the wheels produced by the machine are of inferior quality

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