juan worked 2.5 hours each day from monday through friday plus 7.5 hours on saturday. his total pay was 128 dollars. how much di
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Answer:
The 95% confidence interval is given by:
3.30<σ<8.76
Step-by-step explanation:
1) Data given and notation
s=4.798 represent the sample standard deviation
represent the sample mean
n=10 the sample size
Confidence=95% or 0.95
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 .
2) 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 0.95 or 95%, the value of and
, and we can use excel, a calculator or a tabel to find the critical values.
The excel commands would be: "=CHISQ.INV(0.025,9)" "=CHISQ.INV(0.975,9)". 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:
So the best option would be:
3.30<σ<8.76
Arianna sold for $ 299.6
<em><u>Solution:</u></em>
Given that, Part of Arianna’s earnings are based on a 5% commission rate
At the end of the day arianna earned 14.98 in commission
Therefore,
Commission earned = $ 14.98
Commission rate = 5 %
Let "x" be the amount that Arianna sell that day
Therefore, according to question,
5 % of amount earned = 14.98
5 % of "x" = 14.98
<em><u>Solve the above equation for "x"</u></em>
Thus arianna sold for $ 299.6