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Answer to Question #78834 in Statistics and Probability for Kevin
Question #78834
The breaking strengths of cables produced by manufacturer have a mean of 1800 Kg and a standard deviation of 100 Kg. by a new technique in the manufacturing process, it is claimed that breaking strength can be increased. To test this claim, a sample of 50 cables is tested and it is found that the mean breaking strength is 1850Kg. can we support the claim at the 0.01 significance level?
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A company has 500 cables . A test of 40 cables selected at random showed a mean breaking strength of 2400 pounds(lb) and a standard deviation of 150 lb. What are the 95% and 99% confidence limits for estimating the mean breaking strength of the remaining 460 cables.
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What is meant by a p- value? (b) State whether the null hypothesis should be rejected on the basis of the given P- value (i) P-value = 0.258, α = 0.05, one tailed test (ii) P-value = 0.0684, α = 0.10, two tailed test (iii)P-value = 0.0153, α = 0.01, one tailed test (iv) P-value = 0.0232, α = 0.05, two tailed test (v) P-value = 0.002, α = 0.01, one tailed test.
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