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CSIR NET Mathematics 2024|Testing of Hypothesis | 05 April 2024

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Question 1

The length of a random sample of 12 worms of a population species having a mean of 8.54 cm and a standard deviation of 2.97cm. Let denote the mean length of a worm of these spices. It required to test

If the lengths of worms one normally distributed. Calculated the p -value of these sample results.

Question 2

A simple random sample of size 10 from gives 98% confidence interval (20. 49, 23.51). To test the hypothesis,

against

Then

Question 3

Consider a normal population with unknown mean and variance . To test against a random sample of size 100 is taken. Based on this sample, the test of the form rejected the null hypothesis. At 5% level of significance confidence interval for is?

Question 4

The breaking strength of the population are normally distribution with standard deviation of 12. A sample of 11 bundles of wool fibres has a man breaking strength at 436.5 . Test at 5% level of significance whether the population mean less than 445?

Then which of the following is/are correct.

Question 5

A machinist is making engine parts with axel diameter of 0.700 inch. A random sample of 10 parts shows a mean diameter of 0.742 inch with a standard deviation of 0.040 inch. Compute the statistics that use to the specification.

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CSIR NET & SET Mathematical Sciences

Apr 5CSIR NET & SET