A machine has been producing steel tubes of mean inner diameter of 2 cm. A sample of 10 tubes gives an inner diameter of 2.01 cm and a standard…
CUET UG 2025 — Mathematics Statistics & Applications
A machine has been producing steel tubes of mean inner diameter of 2 cm. A sample of 10 tubes gives an inner diameter of 2.01 cm and a standard deviation of 0.063 cm. Test the hypothesis that the machine is working in the proper order at 5 % level of significance and answer, which of the following statements are correct?
[Given that : t₉(0.05) = 2.262]
(A) The value of the test statistic is t = 0.476.
(B) The null hypothesis is rejected at 5 % level of significance.
(C) The null hypothesis is accepted at 5 % level of significance.
(D) The degree of freedom is 10.
Choose the correct answer from the options given below:
Held on 16 May 2025 · Verified 13 Jul 2026.
Options
- A
(A), (B) and (D) only
- B
(A), (C) and (D) only
- C
(A) and (C) only
- D
(C) and (D) only
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