Question: Part 2B:Solve problems using the Central Limit Theorem and Apply the sampling distribution of the mean. Consider investing in your stock and assume that the

Part 2B:Solve problems using the Central Limit Theorem and Apply the sampling distribution of the mean.

Consider investing in your stock and assume that the daily change is normally distributed. Usingthe mean and standard deviation, determine the probability for the average of 9 daily changes of this stock to have:

  1. A decrease of 0.5 point or more (X -0.5)?
  2. An increase of more than 0.5 point (X > 0.5)?
  3. A decrease of 1 point or more (X -1)?
  4. An increase of more than 1 point (X > 1)?
  5. In words, explain if these are high or low likelihoods for change.

Part 2C:If you wanted to be 95% sure what the daily change would be, what range for a daily change would you expect? Explain.

The Data:

Descriptive Stats
Mean 2.301786
Standard Error 0.325255
Median 2.175
Mode 0.44
Standard Deviation 1.721089
Sample Variance 2.962149
Kurtosis -0.53833
Skewness 0.566038
Range 6.2
Minimum 0.36
Maximum 6.56
Sum 64.45
Count 28
1st Quartile 0.545
3rd Quartile 4.0125

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