A tool company claims that the mean number of defective screws they produce per box is 72. The mean number of defective screws in 100 randomly chosen boxes was found to be 76, with a standard deviation of 19. Test this hypothesis.
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A tool company claims that the mean number of defective screws they produce per box is 72. The mean number of defective screws in 100 randomly chosen boxes was found to be 76, with a standard deviation of 19. Test this hypothesis.
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- It is said that a person’s height changes from morning to night, possibility in response to gravity compressing the spinal columns and the joints in the legs. The height of 14 persons (an equal number of men and women) were measured in the morning and at night and it was discovered that the average height in the morning was 1.750 m and 1.735 m. The mean change in height was 1.5 cm with a sample standard deviation of 3 cm. Any height change in the human population is known to be distributed normally. Is it correct to say that the true average change in height from morning to night is 2.5 cm with a significance level of 0.1)?Historically, the mean age of all Memphis residents has been 40 years. You believe this has changed. You take a random sample of 130 Memphis residents and find that their mean age is 36 years with a standard deviation of 17 years. Can you conclude that the mean age of all Memphis residents has changed from 40 years. For the hypothesis testing scenario above, compute the test statistic. For the hypothesis testing scenario above, you conclude that the mean age of all Memphis residents has changed from 40 years at the 0.05 significance level. Compute the 95% confidence interval to estimate the mean age of all Memphis residents.