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

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