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MariettaO [177]
3 years ago
7

Your crew can pave two driveways in a day. You work five days per week but take off 2 weeks each year for holidays and vacations

.How many driveways could your crew pave in a year?
Mathematics
1 answer:
k0ka [10]3 years ago
5 0
According to Philippine Payroll Regulations and Information, there will be a total of 247 working days for all employees working from Mondays to Fridays and considered Saturdays and Sundays as rest days. If the two weeks off is referring to employees working days only, it means employee can file a leave for 14 equivalent days off. Computations will be Total driveways= (247 days-14 days off) * 2 driveways per day and the answer is 466 driveways.
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Answer:

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\bar X=\frac{(23+18+23+12+13+23)}{6}=18.666

Second step. <u>Calculate the standard deviation</u>

\sigma =\sqrt{\frac{(23-18.666)^2+(18-18.666)^2+(23-18.666)^2+(12-18.666)^2+(13-18.666)^2+(23-18.666)^2}{6}}

\sigma=\sqrt\frac{18.783+0.443+18.783+44.435+5.666+18.783}{6}

\sigma=\sqrt{17.815}=4.22

As the number of data is less than 30, we must use the t-table to find the interval of confidence.

We have 6 observations, our level of confidence DF is then 6-1=5 and we want our area A to be 80% (0.08).  

We must then choose t = 1.476 (see attachment)

Now, we use the formula that gives us the end points of the required interval

\bar X \pm t\frac{\sigma}{\sqrt n}

where n is the number of observations.

The extremes of the interval are then, rounded to the nearest hundreth, 16.34 and 21.43

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Step-by-step explanation:

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