Question

Researchers doing a study comparing time spent on social media and time spent on studying randomly sampled 200 students at a major university. They found that students in the sample spent an average of 2.3 hours per day on social media and an average of 1.8 hours per day on studying. If all the students at the university in fact spent 2.2 hours per day on studying, with a standard deviation of 2 hours, the sampling distribution of the time spent studying has approximate distribution: A. N ( 1.8 , 0.141 ) . B. N ( 1.8 , 2 ) . C. N ( 2.2 , 2 ) . D. N ( 2.2 , 0.141 ) .

Answer 1

Answer:

Option D is correct.

The sampling distribution of the time spent studying has approximate distribution: N (2, 0.141)

Step-by-step explanation:

For sampling distribution,

Mean of sample distribution = mean of the population. That is,

μₓ = μ = 2.2 hours.

But the standard deviation of the sampling distribution is given by

σₓ = σ/√n

σ = 2 hours

n = sample size = 200 students

σₓ = 2/√200

σₓ = 0.141 hours.

Hence, N (2, 0.141) is correct.