In a bag, there are a total of 50 dimes and quarters. 40% of the coins are quarters and 35% of the quarters are on heads. How ma
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Answer:
a) The best estimator for the population mean is given by the sample mean
b) The 99% confidence interval would be given by (4.969;6.431)
c) We are 99% confident that the true mean for th number of gallons of gasoline sold to his customers is between 4.969 and 6.431.
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=45 represent the sample size
2) Part a
The best estimator for the population mean is given by the sample mean
3) Part b. Develop a 99 percent confidence interval for the population mean.
The confidence interval for the mean is given by the following formula:
(1)
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(0.005,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 99% confidence interval would be given by (4.969;6.431)
4) Part c. Interpret the meaning of part (b).
On this case we can say this: We are 99% confident that the true mean for th number of gallons of gasoline sold to his customers is between 4.969 and 6.431.
For this case we have the following function:
By definition, we have that a linear equation is of the form
On the other hand, a quadratic equation is of the form
Then, the given equation is not a linear equation, it is not of the form
Answer:
No, the equation is not linear. It is not of the form