meowmeowcow
25.03.2020 •
Mathematics
A random sample of 100 teletype operators indicates that their salaries fluctuate quite a bit. The sample Standard deviation of their daily salaries is $10.00. Construct a 90 percent confidence interval on the population standard deviation of the daily salaries.
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Ответ:
Now we just take square root on both sides of the interval and we got:
Step-by-step explanation:
Data given and notation
s=10 represent the sample standard deviation
represent the sample mean
n=100 the sample size
Confidence=90% or 0.90
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 mean or variance 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.
The Chi Square distribution is the distribution of the sum of squared standard normal deviates .
Calculating the confidence interval
The confidence interval for the population variance is given by the following formula:
The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:
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 values.
The excel commands would be: "=CHISQ.INV(0.05,99)" "=CHISQ.INV(0.95,99)". so for this case the critical values are:
And replacing into the formula for the interval we got:
Now we just take square root on both sides of the interval and we got:
Ответ:
Option 1
Step-by-step explanation:
In these points, value of y-coordinate is same.So, the line will be parallel to x-axis