The expression 5w + 2p can be used to find the number of dollars a bag of mixed nuts will cost, where w is the number of pounds
1 answer:
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Answer:
a) The 90% confidence interval would be given by (18.52;20.49)
b) The 95% confidence interval would be given by (18.32;20.68)
Step-by-step explanation:
1) Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean for the sample
population mean (variable of interest)
represent the population standard deviation
n=75 represent the sample size
2) Confidence interval 90%
The confidence interval for the mean is given by the following formula:
(1)
Since the Confidence is 0.90 or 90%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 90% confidence interval would be given by (18.52;20.49)
3) Confidence interval 95%
Since the Confidence is 0.95 or 95%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by (18.32;20.68)
Answer:
The x-intercept is
The y-intercept is -1
Step-by-step explanation:
Lets find x-intercept:
for y substitute 0
4x+0=12x-1
subtract 4x both sides
0=8x-1
add 1 both sides
1=8x
divide 8 both sides
=x
lets find y-intercept:
for x substitute 0
4(0)+y=12(0)-1
multiply 4(0) and 12(0) which would equal 0 in this case, you dont have to write the 0s.
y=-1
Hopefully it helps