Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution from a population that is skewed left with mean 50 and standard deviation 5. Diane obtains 1000 random samples of size n=3 from the population, finds the mean of the means, and determines the standard deviation of the means. Jack does the same simulation, but obtains 1000 random samples of size n= 40 from the population. Complete parts (a) through (c) below. (D) vvnat ao you expect tne mean or Diane s aistribution to De? vvnat ao you expect ine mean or Jack S aistribution to De? Diane's distribution is expected to have a mean of 50. Jack's distribution is expected to have a mean of 50. (c) What do you expect the standard deviation of Diane's distribution to be? What do you expect the standard deviation of Jack's distribution to be? Diane's distribution is expected to have a standard deviation of . Jack's distribution is expected to have a standard deviation of (Round to two decimal places as needed.)

Example 4.3: The means of two random samples of size 9 and 7 are 196.42 and 198.82 respectively. The sums of the squares of the deviations from the mean are 26.94 and 18.73 respectively. Can the samples be considered to have been drawn from the same normal populations?

Need help in part a and b

A pharmaceutical company has two possible treatments for arthritis, called Drug A and Drug B.  The company does a matched pairs experiment where they give the two drugs to similar people and then measure their improvement on a scale of 1-50.  The data for a sample of size nine is here: Is there statistically significant evidence at the 0.05 level that Drug B results in more improvement than Drug A?The X for the sample: The S for the sample: The P value  the conclusion