uppose a company that manufacturers game consoles (such as the X-Box, Playstation) needs to be “within industry standards,” which requires them to produce console that weighs an average of µ0 = 9.00 lbs.  Construct a 90% confidence interval using a sample of 64 consoles from their production process, and that sample generates a sample mean of 8.00 lbs.  Assume that the population standard deviation is known to be 4 lbs.  Choose the most correct answer below regarding this problem.  Some images are presented below as part of the question.  Hint:  use the z distribution to help.  Also, check whether the interval you construct contains the hypothesized value of 9 lbs.     a)  a. figure 3 is the correct image for this confidence interval ;  the interval is [5.86, 10.34] ; they are within industry standards       b)  b.  figure 1 is the correct image for this confidence interval ;  the interval is [7.18, 8.82]; they are within industry standards      c)  c.  figure 4 is the correct image for this confidence interval ;  the interval is [5.86, 10.34] ; they are within industry standards       d)  d.  figure 2 is the correct image for this confidence interval ;  the interval is [7.18, 8.82]; they are within industry standards      e)  e.  figure 2 is the correct image for this confidence interval ;  the interval is [7.18, 8.82]; they are not within industry standards

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uppose a company that manufacturers game consoles (such as the X-Box, Playstation) needs to be “within industry standards,” which requires them to produce console that weighs an average of µ0 = 9.00 lbs.  Construct a 90% confidence interval using a sample of 64 consoles from their production process, and that sample generates a sample mean of 8.00 lbs.  Assume that the population standard deviation is known to be 4 lbs.  Choose the most correct answer below regarding this problem.  Some images are presented below as part of the question.  Hint:  use the z distribution to help.  Also, check whether the interval you construct contains the hypothesized value of 9 lbs.

 

 

a) 

a. figure 3 is the correct image for this confidence interval ;  the interval is [5.86, 10.34] ; they are within industry standards    

 

b) 

b.  figure 1 is the correct image for this confidence interval ;  the interval is [7.18, 8.82]; they are within industry standards   

 

c) 

c.  figure 4 is the correct image for this confidence interval ;  the interval is [5.86, 10.34] ; they are within industry standards    

 

d) 

d.  figure 2 is the correct image for this confidence interval ;  the interval is [7.18, 8.82]; they are within industry standards   

 

e) 

e.  figure 2 is the correct image for this confidence interval ;  the interval is [7.18, 8.82]; they are not within industry standards

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90
105
-1,645
1i645
045 の
90
-1.96 Ó 1.96
·65
•05
1.96
Transcribed Image Text:1,645 90 105 -1,645 1i645 045 の 90 -1.96 Ó 1.96 ·65 •05 1.96
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