The building specifications in a certain city require that the sewer pipe used in residential areas have a mean breaking strength of more than 2,500 pounds per lineal foot.  A manufacture who would like to supply the city with sewer pipe has submitted a bid and provided the following additional information.  An independent contractor selected a number of sections of the manufacturer's pipe and tested each for breaking strength.  The results (pounds per lineal foot) are shown below with the mean and standard deviation of 2571.4 and 115.1 respectively:  2610, 2750, 2420, 2510, 2540, 2490, and 2680. At 10% level of significance, the conclusion with respect to the pipe meeting required specifications is:   a. there is sufficient evidence to conclude that the manufacturer's sewer pipe meets the required specifications.    b. there is sufficient evidence to conclude that the manufacturer's sewer pipe meets the required specifications when in fact such evidence may not exist.    c. there is not sufficient evidence to conclude that the manufacturer's sewer pipe meets the required specifications when in fact such evidence may exist.    d. there is not sufficient evidence to conclude that the manufacturer's sewer pipe meets the required specifications.    e. the significance level used in this analysis is too small.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The building specifications in a certain city require that the sewer pipe used in residential areas have a mean breaking strength of more than 2,500 pounds per lineal foot.  A manufacture who would like to supply the city with sewer pipe has submitted a bid and provided the following additional information.  An independent contractor selected a number of sections of the manufacturer's pipe and tested each for breaking strength.  The results (pounds per lineal foot) are shown below with the mean and standard deviation of 2571.4 and 115.1 respectively:

 2610, 2750, 2420, 2510, 2540, 2490, and 2680.

At 10% level of significance, the conclusion with respect to the pipe meeting required specifications is:

  a.

there is sufficient evidence to conclude that the manufacturer's sewer pipe meets the required specifications. 

  b.

there is sufficient evidence to conclude that the manufacturer's sewer pipe meets the required specifications when in fact such evidence may not exist. 

  c.

there is not sufficient evidence to conclude that the manufacturer's sewer pipe meets the required specifications when in fact such evidence may exist. 

  d.

there is not sufficient evidence to conclude that the manufacturer's sewer pipe meets the required specifications. 

  e.

the significance level used in this analysis is too small.

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