3 years ago

3(x-1)-2x=2 Solve for x

1 answer:

7 0

Solve for x by simplifying both sides of the equation, then isolating the variable.x=5

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A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 95

Galina-37 [17]

Answer:

The minimum sample size required for the estimate is 345.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The standard deviation is known to be 1.8.

This means that $\sigma = 1.8$

What is the minimum sample size required for the estimate?

This is n for which M = 0.19. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.19 = 1.96\frac{1.8}{\sqrt{n}}$

$0.19\sqrt{n} = 1.96*1.8$

$\sqrt{n} = \frac{1.96*1.8}{0.19}$

$(\sqrt{n})^2 = (\frac{1.96*1.8}{0.19})^2$

$n = 344.8$

Rounding up to the next integer:

The minimum sample size required for the estimate is 345.

8 0

3 years ago