A recent article in a college newspaper stated that college students get an average of 7 hrs of sleep each night. A student who was skeptical about this value decided to conduct a survey by randomly sampling 36 students. On average, the sampled students slept 6.6 hours per night. Identify which value represents the sample mean and which value represents the claimed population mean.

Question

Mathematics

Jesus Kane

5 August, 09:15

A recent article in a college newspaper stated that college students get an average of 7 hrs of sleep each night. A student who was skeptical about this value decided to conduct a survey by randomly sampling 36 students. On average, the sampled students slept 6.6 hours per night. Identify which value represents the sample mean and which value represents the claimed population mean.

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Bobo · Answer 1

Solution -

A student who was skeptical about this value decided to conduct a survey by randomly sampling 36 students. On average, the sampled students slept 6.6 hours per night.

The sample mean is the average of the 36 sampled students, which is 6.6 hours. So 6.6 represents the sample mean.

College newspaper stated that college students get an average of 7 hrs of sleep each night.

The claimed population mean is the stated average from the newspaper article, which is 7 hrs. So 7 represents the claimed population mean.