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m_a_m_a [10]
4 years ago
14

Find the missing numbers

Mathematics
2 answers:
Pavlova-9 [17]4 years ago
5 0
3 24 but the bottom one is 10 you got that wrong
Airida [17]4 years ago
4 0

Answer:

first one is 3 and second one is idk

Step-by-step explanation:

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A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 11.4
GREYUIT [131]

Answer:

The 90% confidence interval for the true mean number of reproductions per hour for the bacteria is between 11.2 and 11.6 reproductions.

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{1-0.9}{2} = 0.05

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

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find 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.

M = 1.645*\frac{2}{\sqrt{375}} = 0.2

The lower end of the interval is the sample mean subtracted by M. So it is 11.4 - 0.2 = 11.2 reproductions.

The upper end of the interval is the sample mean added to M. So it is 11.4 + 0.2 = 11.6 reproductions.

The 90% confidence interval for the true mean number of reproductions per hour for the bacteria is between 11.2 and 11.6 reproductions.

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