A machine that paints traffic stripes on roads is mounted on a truck and set to a width of 4 inches. Road crews adjust the mount to ensure the width is correct. A road inspector checks the width of 30 random stripes to see if the machine has slipped out of adjustment. The mean diameter for this sample is  x = 3.88 inches  with a standard deviation of  s = 0.5 inches.  Does this indicate that the machine has slipped out of adjustment and the average width of stripes is no longer  ? = 4 inches?  Use a 5% level of significance. Conduct a t test to examine whether the mean width of stripes is different from 4 inches.     (a) Calculate the test statistic. (Round your answer to two decimal places.) t =  (b) Calculate the P-value. (Use technology. Round your answer to four decimal places.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A machine that paints traffic stripes on roads is mounted on a truck and set to a width of 4 inches. Road crews adjust the mount to ensure the width is correct. A road inspector checks the width of 30 random stripes to see if the machine has slipped out of adjustment. The mean diameter for this sample is 
x = 3.88 inches
 with a standard deviation of 
s = 0.5 inches.
 Does this indicate that the machine has slipped out of adjustment and the average width of stripes is no longer 
? = 4 inches?
 Use a 5% level of significance.
Conduct a t test to examine whether the mean width of stripes is different from 4 inches.
 
 
(a)
Calculate the test statistic. (Round your answer to two decimal places.)
t = 
(b)
Calculate the P-value. (Use technology. Round your answer to four decimal places.)
 
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