Answer:
The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 7500 - 245 = 7255 hours.
The upper end of the interval is the sample mean added to M. So it is 7500 + 245 = 7745 hours.
The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.
Answer:
3×10^9
Step-by-step explanation:
0.03x=90,000,000
x=90000000/0.03
x=3×10^9
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Answer:
The LCL of the R-chart starts from the origin ( i.e. zero value ) while the LCL of an X -chart did not start from the origin
LCL of R-chart = 0 * 0.84533 = 0
LCL of R-chart = 75.128
Step-by-step explanation:
Given data:
number of observations = 15
sample size ( m ) = 6
sum of sample mean = 80.20 ounces
sum of sample range ( R ) = 12.68 ounces
Determine the control limits of an x-bar and R-chart
<em>for an R-chart </em>
LCL of R-chart = D3 * R(bar) ---- ( 1 )
where : m = 6 , D3 = 0 , R = 12.68
R(bar) = 0.84533
back to equation 1
LCL of R-chart = 0 * 0.84533 = 0
<em>for an X-chart </em>
LCL of X-bar) = ( mean ) - (m x R-bar)
= 80.20 - ( 6 * 0.84533 )
= 75.128
The LCL of the R-chart starts from the origin ( i.e. zero value ) while the LCL of an X -chart did not start from the origin
Answer:
a redlecrion across the x axis results nvm in a negative x value: -x
Answer:
45
Step-by-step explanation:
