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 a = 5% significance level? The way to answer this type of question is to determine HO and H1, determine the level of significance (degree of confidence), determine test criteria, conduct tests and draw conclusions.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Hypothesis test

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 a = 5% significance level? The way to answer this type of
question is to determine HO and H1, determine the level of significance (degree of
confidence), determine test criteria, conduct tests and draw conclusions.
Transcribed Image Text: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 a = 5% significance level? The way to answer this type of question is to determine HO and H1, determine the level of significance (degree of confidence), determine test criteria, conduct tests and draw conclusions.
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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,