Question

A recent article in a college newspaper stated that college students get an average of 5.5 hrs of sleep each night. A student who was skeptical about this value decided to conduct a survey by randomly sampling 25 students. On average, the sampled students slept 6.25 hours per night. Identify which value represents the sample mean and which value represents the claimed population mean.

Answer 1

The sample mean is 6.25 hours of sleep per night from the student's survey of 25 students, while the claimed population mean is 5.5 hours as stated in the college newspaper article.

Step-by-step explanation:

In this scenario, the sample mean is the average amount of sleep that the 25 randomly sampled students reported, which is 6.25 hours per night.

The claimed population mean is the value mentioned in the college newspaper article, stating that college students get an average of 5.5 hours of sleep each night.

The sample mean represents the average found from the sample taken by the student, while the claimed population mean represents the average that is supposedly true for the entire population of college students.

Answer 2

Answer: Population mean =
`\mu=5.5`

Sample mean =
`\overline{x}=6.25`

Step-by-step explanation:

We know that the population mean
`\mu` is the average of the entire population.

The sample mean
`\overline{x}` is the mean of the sample which is derived from the whole population randomly.

Given : A recent article in a college newspaper stated that college students get an average of 5.5 hrs of sleep each night.

Thus , the population mean = 5.5 hrs

Also, On average, the sampled students slept 6.25 hours per night.

It implies , the sample mean = 6.25 hours