In: Statistics and Probability
The piston diameter of a certain hand pump is 0.7 inch. The
manager determines that the diameters are normally distributed,
with a mean of 0.7 inch and a standard deviation of 0.005 inch.
After recalibrating the production machine, the manager randomly
selects 21 pistons and determines that the standard deviation is
0.0044 inch. Is there significant evidence for the manager to
conclude that the standard deviation has decreased at the a=0.10
level of significance?
What are the correct hypothesis is H0:_,_,__
The alternative hypothesis is H1: _,_,__
Calculate the value of the test statistic.
X2/0= _ (Round two
decimal)
Use technology to determine the P-value of the test
statistic.
The P-value is_. (Round three decimal places)
What is the correct conclusion at the a=0.10 level of
significance?
Since the P-value is ___ than the level of significance, ___ the
null hypothesis. There ___ sufficient evidence to conclude that the
standard deviation has decreased at the 0.10 level of
significance.