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Anestetic [448]
2 years ago
11

A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 7.6

reproductions and the population standard deviation is known to be 2.2. If a sample of 707 was used for the study, construct the 90% confidence interval for the true mean number of reproductions per hour for the bacteria. Round your answers to one decimal place.
Mathematics
1 answer:
Xelga [282]2 years ago
5 0

The confidence interval for the true mean number of reproductions per hour is (7.5,7.7)

Given mean of 7.6 , standard deviation of 2.2, n=707 and 90% confidence level.

We have to find the confidence interval for the true mean number of reproductions per hour for the bacteria.

α=0.90

μ=7.6

σ=2.2

m=707

α/2=0.45

We have to calculate z value for the p value of 0.45 which is z=1.64.

Margin of error=z*μ/\sqrt{n}

=1.64*2.2/\sqrt{707}

=0.13

Lower level=mean -m

=7.6-0.13

=7.47

after rounding upto 1 decimal

=7.5

Upper level= mean +m

=7.6+0.13

=7.73

after rounding upto 1 decimal

=7.7

Hence the confidence interval is (7.5,7.7) for the true mean number of reproductions per hour.

Learn more about margin of error at brainly.com/question/10218601

#SPJ4

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statuscvo [17]

A number increased by nine (n + 9) is the same as nine increased by a number (9 + n), the correct option is C.

<h3>What is the pharse in mathematics?</h3>

A mathematical phrase is a set of words or a combination of words and numbers that can be written as a mathematical expression.

Given

Jillian was asked to translate the expression 9 + n into words.

She wrote "a number increased by nine.

The expresion can be written into the two formate which is;

(n+9) and (9+n)

Hence, a number increased by nine (n + 9) is the same as nine increased by a number (9 + n), the correct option is C.

To know more baout pharse click the link given below.

brainly.com/question/22314482

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Some help me please help me please help me please
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