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1 month ago

Pavel’s pocket money increases from €12 per week to €15 per week. Work out the percentage increase in his pocket money.

Mathematics

1 answer:

Inessa [12.5K]1 month ago

6 0

Response:

12 --> 15

This reflects a 25% rise.

To calculate the increase: New Number - Original Number

15 - 12 = 3

Next, divide the increase by the original number and multiply the result by 100.

3/12 = 1/4 = 0.25 x 100 = 25

Thus, the percentage increase amounts to 25%

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b. 2 minutes

Step-by-step explanation:

Prior concepts

Normal distribution, defines a probability distribution that is symmetric around the mean, showing that occurrences near the mean are more frequent than those that are further away.

The central limit theorem states that "when we have a population with mean μ and standard deviation σ and draw sufficiently large random samples from the population with replacement, then the distribution of the sample means will resemble a normal distribution. This applies regardless of whether the original population is normal or skewed, given that the sample size is large enough".

Solution to the problem

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$\mu =90, \sigma =14$

A sample size =49>30 also indicates that we are focused on determining the standard deviation for the sample mean. Based on the central limit theorem, we recognize that the sample mean distribution $\bar X$ is described by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And subsequently, the standard deviation will be:

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Hence, the most accurate answer would be

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