6/22/22, 7:46 PM EDPY511 HW (M5) 1. The average age for licensed drivers in the county is =40.3 years with a standard deviation of =13.2 years. A researcher obtained a random sample of n=16 parking tickets and computed an average age of M=38.9 years for the drivers. a. Compute the z-score for the sample mean and find the probability of obtaining an average age this young or younger for a random sample of licensed drivers. b. it reasonable to conclude that this set of n=16 people is a representative sample of licensed drivers in terms of age? 2. For a population with a mean of #=70 and a standard deviation of o=20, how much error would you expect between a typical sample mean (M) and the population mean for each of the following sample size? (Hint: use standard error of the mean to answer this question.) a. 4 b. 16 3. For a population with a standard deviation of =8, how large a sample is necessary to have a standard error that is: a. Less than 4 points? b. Less than 1 point? 4. Adopt from Howell (2018): Researchers find that young children under stress actually report fewer symptoms of anxiety and depression than we would expect. Hence, those children's scores on a Lie Scale (a measure of the tendency to give socially desirable answers) were higher than expected. The population mean for the Lie Scale on the Children's Manifest Anxiety Scale is known to be 3.87. For a sample of 36 children under stress, the researchers found a sample mean of 4.39, with a standard deviation of 2.61. a. Calculate the 80% confidence interval for the mean. b. Calculate the 95% confidence interval for the mean. The file you submit should be a Word or PDF document. Please name your file in the format: LastName_FirstName_M# (e.g., Hsiao_YuYu_M5). file:///Users/mohsen20/Downloads/EDPY511%20HW%20(M5).html Page 1 of 1