A population of all steel plates produced by a company has an average length of 80 cm with a standard deviation of 7 cm. After 3 years, the company's engineers doubted the hypothesis about the average length of the steel plate. In order to confirm the validity of the hypothesis, a random sample of 100 steel plates was taken from the population above, and the result was a count of 83 cm, and the standard deviation was constant. Is there any reason to doubt that the average length of the steel plate produced by the company is 80 cm at the significance level of =5%? The way to answer this type of question is to determine H0 and H1, determine the level of significance
A population of all steel plates produced by a company has an average length of 80 cm with a standard deviation of 7 cm. After 3 years, the company's engineers doubted the hypothesis about the average length of the steel plate. In order to confirm the validity of the hypothesis, a random sample of 100 steel plates was taken from the population above, and the result was a count of 83 cm, and the standard deviation was constant. Is there any reason to doubt that the average length of the steel plate produced by the company is 80 cm at the significance level of =5%? The way to answer this type of question is to determine H0 and H1, determine the level of significance (degree of confidence), determine test criteria, conduct tests and draw conclusions.
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