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%?

Question

Ryan Barron

Mathematics

8 August, 22:12

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%?

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Answers (2)

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Toby Sullivan · Answer 1

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.

Francesca Hebert · Answer 2

Francesca Hebert 8 August, 22:41

0

For apex the answer is 68%