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Karo-lina-s [1.5K]
3 years ago
15

A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 13.6

reproductions and the population standard deviation is known to be 1.9. If a sample of 189 was used for the study, construct the 85% confidence interval for the true mean number of reproductions per hour for the bacteria. Round your answers to one decimal place.
Mathematics
1 answer:
dimaraw [331]3 years ago
5 0

Answer:

The confidence interval is  13.4<  \mu < 13.8

Step-by-step explanation:

From the question we are told that

   The sample  mean is \= x  =  13.6

     The standard deviation is \sigma =  1.9

     The sample  size is  n  =  189

given that the confidence level is  85% then the level of significance is mathematically represented as

            \alpha = (100 - 85 )\%

            \alpha  =  0.15

Next we obtain the critical value  of \frac{\alpha }{2} from the normal distribution table  the value  is  

      Z_{\frac{\alpha }{2} } =  1.44

Generally the margin of error is mathematically represented as

        E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma}{\sqrt{n} }

=>     E = 1.44*  \frac{1.9}{\sqrt{189} }

=>     E = 0.1990

The  85%  confidence interval is mathematically represented as  

        \= x  - E <  \mu

=>      13.6- 0.1990 <  \mu <  13.6+ 0.1990

=>      13.4<  \mu < 13.8

           

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Arada [10]
This is like the equivalent to a jar with 4 green balls and 6 white balls, where you are picking 3. (The 4 green balls signify the friends from kindergarten.) 

You want to solve the probability that the first two balls are green and the third is white. 
First draw --> 4 green out of 10 balls --> 4/10 = 2/5 

Second draw --> 3 green out of 9 balls --> 3/9 = 1/3 

Third draw --> 6 white out of 8 balls --> 6/8 = 3/4 


2/5 x 1/3 x 3/4 

= 6/60 

= 1/10 


so the answer is 1/10 (or 10%)
6 0
3 years ago
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GenaCL600 [577]

Step-by-step explanation:

I didn't understand the question.

Do u want the function?

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6 0
2 years ago
A random sample of adult female reaction times has a sample mean of x¯=394.3 milliseconds and sample standard deviation of s=84.
s2008m [1.1K]

Answer:

99.7%

Step-by-step explanation:

Given that mean (μ) = 394.3 ms and standard deviation (σ) = 84.6 ms.

The empirical rule states that for a normal distribution:

  1. 68% falls within one standard deviation (μ ± σ)
  2. 95% falls within two standard deviation (μ ± 2σ)
  3. 99.7% falls within three standard deviation (μ ± 3σ)

one standard deviation = 394.3 ± 84.6 = (309.7, 478.9). 68% falls within 309.7 and 478.9 ms

two standard deviation = 394.3 ± 2 × 84.6 = (225.1, 563.5). 95% falls within 225.1 and 563.5 ms

three standard deviation = 394.3 ± 3 × 84.6 = (140.5, 648.1). 99.7% falls within 140.5 and 648.1 ms

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3 years ago
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aksik [14]
So 1 hour= 60 minutes
60+25= 85 minutes
Now we should subtract the 42
85-42=43
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3 years ago
I really need help with this please help me this is to turn in just one and a half hours please please help me please
alukav5142 [94]

If you post the work, then we might be able to help

6 0
3 years ago
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