Suppose that the average number of Facebook friends users have is normally distributed with a mean of 133 and a standard deviation of about 59. Ass
Suppose that the average number of Facebook friends users have is
- What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
- For the group of 9, find the
probability that the average number of friends is more than 153. - Find the first
quartile for the average number of Facebook friends. - For part b), is the assumption that the distribution is normal necessary? NoYes
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1)
From the given information, let us define the random variable X as the number of Facebook friends is normally distributed with mean 133 and standard deviation 59.
That is, .
The distribution of x-bar:
Central Limit Theorem:
The sampling distribution of sample mean follows normal distribution with mean µ and the standard deviation is the population standard deviation by square root of sample size.
Given that the sample size is 9.
Therefore,
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