To Determine the Observations Corresponding to a Specified Percentage or Probabi

Question

To Determine the Observations Corresponding to a Specified Percentage or Probability for a Normally Distributed Variable Step 1 Sketch the normal curve associated with the variable. Step 2 Shade the region of interest. Step 3 Use Table II to determine the z-score(s) delimiting the region found in Step 2. Step 4 Find the x-value(s) having the z-score(s) found in Step 3. X = mu + z + alpha. The A. C. Nielsen Company reported in the Nielsen Report on Television that the mean weekly television viewing time for children aged 2 - 6 years is 24.85 hours. Assume that the weekly television viewing times of such children are normally distributed with a standard deviation of 6.23 hours and apply the empirical rule to fill in the blanks. Round Answers to 2 decimal places. X.XX Approximately 68% of all such children watch between _________and _________hours of TV per week. Approximately 95% of all such children watch between _________and _________hours of TV per week. Approximat

Explanation / Answer

mean = 24.85 , sd = 6.23

a) ( 24.85-6.23 ,24.85+6.23)

= (18.62 , 31.08)

b)   ( 24.85-2*6.23 ,24.85+2*6.23)

= (12.39,37.31)

c)( 24.85-3*6.23 ,24.85+3*6.23)

(6.16,43.54)

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