Question 1

Using Minitab Express, find the z scores that separate the middle 85% of the standard normal distribution from the outer 15% (7.5% on the left and 7.5% on the right). Copy+paste your distribution here and clearly identify your final answer. [10 points]

Question 2

?In this question set, we will examine some of the similarities between the randomization tests we learned about in Lesson 5 and the method we learned in this lesson that applies the Central Limit Theorem and allows us to use the z distribution to approximate the sampling distribution. We'll be working with the following scenario:

Research question: Is the mean listing price in the population of all three-bedroom houses in State College, Pennsylvania different from $300,000?

Data were collected from a representative sample of 40 three-bedroom houses in State College, Pennsylvania currently listed on Zillow. The observed sample mean was $328,299. StatKey was used to conduct a randomization test. The randomization distribution, with the cut-off set to the observed sample mean, is shown below.

Randomization Dotplot of x. Null hypothesis: # = 300000 OLeft Tail Two-Tall Right Tall 140 Samples = 5000 Mean = 299823 120 Std. Error = 14965 100 80 0.030 0.939 0.030 60 40 20 250000 260000 270080 280000 290000 30dbQ0 310000 320000 310000 340000 350000 360000 null - 300000 272184.750 328299.000