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Stella [2.4K]
3 years ago
6

Adam and his dad share the cost of the meal in the ratio of 2:3.

Mathematics
1 answer:
mel-nik [20]3 years ago
7 0
Given that the meal cost is shared by Adam and his dad is in the ratio 2:3 respectively, and the amount of money paid by Adam's dad was 52.20, thus the
total cost of meal will be:
Total ratio will be (2+3)=5
total cost will be:
5/3*52.20
=87
Thus we conclude that the total cost of food was 87 pounds

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The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

<h3>How to find the z score (z statistic) for the sample mean?</h3>

If we're given that:

  • Sample mean = \overline{x}
  • Sample size = n
  • Population mean = \mu
  • Sample standard deviation = s

Then, we get:

z = \dfrac{\overline{x} - \mu}{s}

If the sample standard deviation is not  given, then we can estimate it(in some cases) by:

s = \dfrac{\sigma}{\sqrt{n}}

where \sigmapopulation standard deviation

For this case, we're specified that:

  • Sample mean = \overline{x} = 2.3
  • Sample size = n = 15
  • Population mean = \mu  = 2.7
  • Population standard deviation = \sigma = 0.4

Thus, the value of the z-statistic is evaluated as:

z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{2.3- 2.7}{0.4/\sqrt{15}} \approx -3.87

Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

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brainly.com/question/27003351

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