MATH SOLVE

2 months ago

Q:
# 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.

Accepted Solution

A:

Answer: Population mean = [tex]\mu=5.5[/tex] Sample mean = [tex]\overline{x}=6.25[/tex] Step-by-step explanation:We know that the population mean [tex]\mu[/tex] is the average of the entire population.The sample mean [tex]\overline{x}[/tex] 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