Mathematics: The ratio of brown tiles is 2 to 3. if an artists needs 16 brown tiles to complete a mosaic ho w many tan tiles will the artist need

The ratio of brown tiles is 2 to 3. if an artists

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18.06.2022

4347

Step-by-step explanation:

Given that:

The margin of error = 0.09

Variance $\sigma^2$ = 5.29

Mean = 15.6

Level of significance = 0.99

The objective is to determine the sample size used in this study to estimate the mean usage of water.

From the given information:

The critical value $Z_{\alpha/2} = Z_{0.01/2}$ = 2.58

Sample size n = $Z_{\alpha/2}^2 \times \begin{pmatrix} \dfrac{\sigma^2}{M.O.E^2} \end {pmatrix}$

Sample size n = $2.58^2 \times \begin {pmatrix} \dfrac{5.29}{0.09^2}\end {pmatrix}$

Sample size n = 4347

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