A machine is claimed to produce nails of mean length 5cm. and standard deviation of
0.45cm. A random sample of 100 nails gave 5.1cm. as their average length. Does the
performance of the machine justify the claim? Mention the level of significance you apply?
16) The mean height of random sample of 100 individuals from a population is 160 cms. The
S.D. of the sample is 10cms. Would it be reasonable to suppose that the mean height of the
population is 165cms?
17) A sample of 50 pieces of certain type of string was tested. The mean breaking strength
turned out to be 14.5 gms. Test whether the sample is from a batch of a string having a
mean breaking strength of 15.6 gms and standard deviation of 2.2 gms.
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