Suppose the following data represent the ratings (on a scale from 1 to 5) for a

Question

Suppose the following data represent the ratings (on a scale from 1 to 5) for a certain smart phone game, with 1 representing a poor rating. Complete parts (a) through (d) below. Compute and interpret the mean of the random variable X. The mean is stars. Which of the following interpretations of the mean is correct? The observed value of the random variable will be equal to the mean of the random variable in most experiments. As the number of experiments n increases, the mean of the observations will approach the mean of the random variable. As the number of experiments n decreases, the mean of the observations will approach the mean of the random variable. The observed value of the random variable will be less than the mean of the random variable in most experiments. Compute the standard deviation of the random variable X. The standard deviation is stars.

Explanation / Answer

Font size is really low and difficult to read.

Per CLT, with increase in sample size, mean of sample distribution will approach mean of poplation distribution.

Option B)

d) SD=sqrt [fi(xi-mu)^2/n-1]=sqrt [{2575*(1-3.871)^2+....+11978*(5-3.871)^2}/5-1]=1.422 (ans)

mu=summation fi*xi/n-1=(1*2575+2*2049+3*3092+4*3085+5*11978)/5-1=3.871

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