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Soloha48 [4]
3 years ago
12

A building manager installs sensors to see how often people turn of the lights when they leave a room. After a month the manager

has sample size of 625, a sample mean of 47%, and a sample standard deviation of 5%. What is the confidence level for a confidence interval of 46.8% to 47.2%?
Mathematics
2 answers:
RideAnS [48]3 years ago
5 0

Answer:

The confidence level for a confidence interval of 46.4% to  47.6% is 99.7%.

Explanation:

First of all, the choices for this question are missing so I will include the ones I found for this exact question. The missing options are as follows:

A. 85% B. 95% C. 68% D. 99.7%

When it comes to statistics, a confidence interval (CI) is  a type of interval estimate  of a population parameter. Statistics is all about drawing conclusions in the face of uncertainty. Whenever you take a sample, you can’t be completely certain that your sample truly reflects the population it’s drawn from.

In conclusion, from the choices presented, the best option is the last one. Option D.


Aleks [24]3 years ago
3 0

Answer:

For apex the answer is 68%

Step-by-step explanation:

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A student answers a multiple-choice examination question that offers four possible answers. Suppose the probability that the stu
Nitella [24]

Answer: 0.9730

Step-by-step explanation:

Let A be the event of the answer being correct and B be the event of the knew the answer.

Given: P(A)=0.9

P(A^c)=0.1

P(B|A^{C})=0.25

If it is given that the answer is correct , then the probability that he guess the answer P(B|A)= 1

By Bayes theorem , we have

P(A|B)=\dfrac{P(B|A)P(A)}{P(B|A)P(A)+P(C|A^c)P(A^c)}

=\dfrac{(1)(0.9)}{(1))(0.9)+(0.25)(0.1)}\\\\=0.972972972973\approx0.9730

Hence, the student correctly answers a question, the probability that the student really knew the correct answer is 0.9730.

7 0
3 years ago
A group walked 3/8 mile in 1/5 hour. Which is the groups walking speed in miles per hour
gogolik [260]

Answer:

The groups walking speed is 1\frac{7}{8}\frac{miles}{hour}  or 1.875\frac{miles}{hour}

Step-by-step explanation:

we know that

To find the speed divide the distance by the time

so

\frac{(3/8)}{(1/5)}=\frac{15}{8}\frac{miles}{hour}

Convert to mixed number

\frac{15}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}\frac{miles}{hour}

6 0
3 years ago
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