Which of the following scatterplots would have a trend line with a positive slope?
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Answer:
According to the Central Limit theorem, the distribution is roughly normal
Step-by-step explanation:
The Central Limit Theorem states that for sample sizes above 30 and not withstanding population distribution's shape, the sampling distribution of the sample mean becomes more similar t hat of a normal distribution as the sample size increases;
The size of the sample = 1,000 >> 30
As the sample size approaches infinity, we have;
= 1.5
S.D. = 1.8
n = 1000
Assume μ = 1, we get;
P(z > 1.7568) = 1 - 0.96080 = 0.0392
Therefore, it is very likely that the mean of the population is not larger than the sample mean
Therefore, yes, the Central Limit Theorem say that the distribution of the number of papers published by the individual sampled faculty in the past year is roughly normal