Assume that the distribution of heights of young women aged 16 to 22 is approximately Nomal with mean u = 62.05 inches. A random sample of 73 female undergraduate students at a University produced a sample mean height of can be derved from the adjacent chart. SHOW YOUR FORMULAS AND ALL WORK ON THIS PAGE a) Using the data set, perfom an analysis to detemine the below. Assume the Standard Deviation for the Sample is the same as the Standard Deviation of the Population: Mean Standard Deviation Standard Eror 62.65753425 2.95906882 0.346332809 Explain the difference between the Stardard Deviation and Standard Eror The standard deviation measurethe amount of dispersion from the individual data while the standard errar of the mean measure how the mean of the data is likaly to be from the true population mean b) Using the Z-Test for the Mean, assume that the Null Hypothesis is trying to determine if the sample mean is statistically different from Population mean of 62.05 at an 95% Confidence Level. Fill out the below Alpha Value Z-Statistic 0.05 -1.959963985 Remember to Apply the Formula c) Set up the Two Tailed Test, describe what the testing is meant to show and complete the below: Z-Critical Value Lower Bound of Confidence Interval Upper Bound of Confidence Interval P-Value 1.6449 0.6788 This method uses the Alpha Value to create CI Interval This method uses the Z-Statistic Above to detemine P-Value. Hint: Remember, if the Z-Statistic is positive that the Chart reads left to right. d) Based on the Critical Value and P-Value, explain your decision to Accept or Reject the Null Hypothesis e) Set up the Right Taled Test, describe what the testing is meant to show and complete the below: Z-Critical Value Lower Bound of Confidence Interval 1.6449 This method uses the Alpha Value to create Ci Interval This method uses the Z-Statistic Above to detemine P-Value. Hint: Remember, if the Z-Statistic is positive that the Chart reads left to right. Upper Bound of Confidence Interval P-Value Based on the Critical Value and P-Value, explain your decision to Accept or Reject the Null Hypothesis
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Can You answer part D, E and F of this part!
Step by step
Solved in 2 steps