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Anestetic [448]
1 year 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]1 year 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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pochemuha

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8 0
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zubka84 [21]

Answer:

y = 40

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

y+10 + 2y +50 = 180

3y+60 = 180

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Given:

Louise used 0.61 kilogram of flour each day for 3 weeks.

To find:

How many grams did Louise use in those 3 weeks?

Solution:

We know that,

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1 week = 7 days

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Flour used by Louise for 3 weeks (21 days) = (21 × 0.61) kg

                                                                        = 12.81 kg

                                                                        = (12.81 × 1000)    [ 1 kg = 1000 g]

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Bumek [7]

Answer:

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Step-by-step explanation:

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Therefore, the table represents a proportional relationship.

The answer is: "C. Yes, because the ratios are equivalent between each pair of values."

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