Example: Female Heights when the population standard deviation is unknown Consider the heights of 15 females in this class. (The results are available on the attached excel spreadsheet.) We will use...

Extracted text: Example: Female Heights when the population standard deviation is unknown Consider the heights of 15 females in this class. (The results are available on the attached excel spreadsheet.) We will use this sample to give a 95% confidence interval of the population mean for female statistic students, in the US. (a) This is not a simple random sample. How can one go about getting a simple random sample for approximating the population mean for female statistic students, in the US? (b) Since 15 is less than or equal to 30, we distribution should be “somewhat symmetric(bell-shaped) with one mode and no outliers". Construct a histogram with width = 5, to check on symmetry. Graph the histogram below. Do we have a “somewhat" normal distribution? (c) Use Stat Crunch to find the sample mean and sample standard deviation. (Round to 2 decimal places.) (d) Since the population standard deviation is unknown, which test stat are we using, T-stat or Z-stat? (e) Give the degrees of freedom: