It’s December and you host a Geminids party on the peak night of the meteor shower. The sky is clear and dark, and the meteors’
emanation point is directly overhead. You and your friends watch the sky for 10 minutes. The probability that you see exactly 14 meteors is . The probability that you see more than 20 meteors while watching the night sky for 10 minutes is . Select the appropriate distribution in the tool below to help answer the following questions. (Note: You will need to read the questions first to determine the appropriate distribution.)
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Answer:
The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 9.8 - 0.2 = 9.6 reproductions per hour.
The upper end of the interval is the sample mean added to M. So it is 9.8 + 0.2 = 10 reproductions per hour.
The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.