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Vlad1618 [11]
3 years ago
12

Calculate the pay for the following day of a weekly time card given a wage of $12.50/hr.

Mathematics
1 answer:
Elenna [48]3 years ago
7 0

The one day pay is $106.25 rounded to the nearest hundredth.

<u>Step-by-step explanation:</u>

<u>From the table shown :</u>

  • The timing shown in the morning is from 8:00 to 12:15
  • The number of hours worked in the morning = 4 hours 15 minutes.

It is given that, the pay is $12.5 per hour.

Therefore, the pay earned in the morning = No.of hours × pay per hour.

⇒ 4 hours × 12.5 = $50

⇒ (15 mins / 60 mins) × 12.5 = $3.125

⇒ 50+3.125

⇒ 53.125

  • The timing shown in the afternoon is from 8:00 to 12:15
  • The number of hours worked in the morning = 4 hours 15 minutes.

Therefore, the pay earned in the afternoon = No.of hours × pay per hour.

⇒  4 hours × 12.5 = $50

⇒ (15 mins / 60 mins) × 12.5 = $3.125

⇒ 50+3.125

⇒ 53.125

The pay for 1 day = pay earned in the morning section + pay earned in the afternoon section.

⇒ 53.125 + 53.125

⇒ 106.25

∴ The one day pay is $106.25 rounded to the nearest hundredth.

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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.

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\bar X represent the sample mean for the sample  

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s represent the sample standard deviation

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The confidence interval for the mean is given by the following formula:

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Assuming that the deviation is known we can express the margin of error is given by this formula:

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n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

Replacing into formula (b) we got:

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So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

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