Monthly rent was determined for each apartment in a random sample of 100 apartments. The sample mean was 5820 and the sample standard deviation was $25. An approximate 95% confidence interval for the true mean monthly rent for the population of apartments from which this sample was selected is ($815,$825). Which of the following statements is a correct interpretation of the 95% confidence interval? A. In this population, about 95% of all rental prices are between $815 and $825. B. In this sample, about 95% of the 100 rental prices are between $815 and $825. C. In repeated sampling, the method produces intervals that include the population mean approximately 95 percent of the time D. In repeated sampling, the method produces intervals that include the sample mean approximately 95 percent of the time. E. There is a probability of 0.95 that the true mean is between $815 and $825

Respuesta :

Answer:

C.

Explanation:

The 95% confidence interval shows that if same size samples are taken repeatedly from the population under study and find the confidence interval for each sample then about 95% confidence intervals will contain true mean.

option C is right because they are giving C.I for population mean

A probability of a factor that will lie between the values around the average is called a confidence interval. In a sample, it tells about assurance or uncertainty.

The sentence which is correct interpretation is:

Option C.  In repeated sampling, the method produces intervals that include the population mean approximately 95% of the time.

The sentence can be explained as:

  • The confidence interval for a given population is given in the third option and includes the repeated samplings and produces average of a population.

  • The probability of a single interval cannot be applied and will give wrong data and interpretations.

  • The other options are incorrect as they include rental prices, the sample mean instead of the population mean and probability.

Therefore, option C is correct.

To learn more about confidence intervals follow the link:

https://brainly.com/question/2396419

Otras preguntas