Western Pygmy-Possum. The foraging behavior of the western pygmy-possum was investigated in the article “Strategies of a Small Nectarivorous Marsupial, the Western Pygmy-Possum, in Response to Seasonal Variation in Food Availability” (Journal of Mammalogy, Vol. 96, No. 6, pp. 1525–1535) by D. Morrant and S. Petit. The weights of adult male pygmy-possums in Australia are normally distributed with a mean of 8.5 g and a standard deviation of 0.3 g. a. Sketch the normal curve for the pygmy-possum weights. b. Find the sampling distribution of the sample mean for samples of size 4. Draw a graph of the normal curve associated with x.  c. Repeat part (b) for samples of size 9.

Subject;

To determine if there is gender and/or race discrimination in car buying, lan Ayres put together a team of fifteen white males, five white females, four black males, and seven black females who were each asked to obtain an initial offer price from the dealer on a certain model car. The 31 individuals were made to appear as similar as possible to account for other variables that may play a role in the offer price of a car. The following data are based on the results in the article and represent the profit on the initial price offered by the dealer. Ayres wanted to determine if the profit based on the initial offer differed among the four groups. Source: Ian Ayres. “Fair Driving: Gender and Race Discrimination in Retail Car Negotiations." Harvard Law Review. Vol. 104, No. 4, Feb. 1991. White Male Black Male White Female Black Female 1300 853 1241 951 1899 646 727 1824 954 2053 951 559 1616 754 1943 794 429 1537 706 2168 661 1181 596 2325 824 853 1982 1038 877 1780 754

L. 2.30 The following data on violent crime on Florida col- lege campuses during 2014 are from the FBI web site. Number of Violent Crimes Student Reported (2014) University/College Enrollment Edison State College Florida A&M University Florida Atlantic University Florida Gulf Coast University Florida International University Florida State University 15,423 3 10,743 10 30,759 5 14,077 5 47,663 9 40,909 15 New College of Florida Pensacola State College 793 2 11,235 Santa Fe College Tallahassee Community College 15,113 1 13,509 59,589 4 University of Central Florida University of Florida University of North Florida University of South Florida University of West Florida 29 49,878 15 16,083 4 46,088 15 12,588 6. a. Construct a dotplot using the 15 observations on number of violent crimes reported. Which schools stand out from the rest? b. One of the Florida schools only has 793 students, and a few of the schools are quite a bit larger than the rest. Because of this, it might make more sense…

A method of gathering data when individuals are paid to discuss their attitudes towards products or services in a group setting controlled by a moderator is known as ____________.

Part 1: Function to generate sampling distribution of the sample mean Write a function called samp.dist.mean, SUCch that: • Takes as inputs: i) a population vector ( pop ), ii) the number of samples ( n, lower-case) to draw, and iii) the number of experiments to conduct (call this variable is k ). • In the body of the function: i) for a given sample size n, uses the function sample.mean (with out.sample=FALSE ) to obtain the sample mean for each experiment (i.e., for k = 1, 2,... , K). • Outputs: returns a vector of length K with the sample means obtained from the K experiments.

To study the effectiveness of possible treatments for insomnia, a sleep researcher conducted a study in which four participants were instructed to count sheep (the Sheep Condition), four were told to concentrate on their breathing (the Breathing Condition), and four were not given any special instructions. The average number of minutes taken for each participant to fall asleep over the next seven days were 14, 28, 27, and 31 minutes for the Sheep condition; 25, 22, 17, and 14 minutes for those in the Breathing condition; and 45, 33, 30, and 41 for the Control condition. Using the .05 significance level, did the different techniques have different effects?   Now you have to use the numbers you just came up with to plug into the formula for the within-groups variance estimate (given below).  The “answer” you get is your final number for the within-groups variance.   S2Within= S21 + S22 + S23 / NGroups…

To study the effectiveness of possible treatments for insomnia, a sleep researcher conducted a study in which four participants were instructed to count sheep (the Sheep Condition), four were told to concentrate on their breathing (the Breathing Condition), and four were not given any special instructions. The average number of minutes taken for each participant to fall asleep over the next seven days were 14, 28, 27, and 31 minutes for the Sheep condition; 25, 22, 17, and 14 minutes for those in the Breathing condition; and 45, 33, 30, and 41 for the Control condition. Using the .05 significance level, did the different techniques have different effects? Restate the question as a research hypothesis and a null hypothesis about the populations.

3.2) Tabulation & Display of Quantitative Data1. Tabulation – Constr. a frequency Distr. TableQuestion 1 : Use the data provided in Q.3 of Section 3 to constr. a freq. distr. Table1. The following data are marks of students in an examination.24 61 36 81 45 37 78 65 60 3947 51 35 82 63 60 58 37 52 2490 87 18 8 29 46 35 64 27 50a. Construct a frequency distribution for the data.b. Compile the cumulative frequency table and draw the cumulative frequency curve.c. If the minimum for grade A was fixed at 74, estimate from your curve the percentage of candidates obtaining grade A.HINTS : Step 1 : Determine the Range, R = HDV – LDVStep 2 : Determine the number of Classes, KK = 1 + 3.3 log NStep 3 : Determine the Width, W for the classes

6) The following results are from data that were collected from the appraisal of houses based on a number of the houses’ characteristics: the dependent variable is APPRAISAL VALUE, the variable Land measures the amount of land the lot is, HOUSE SIZE measures the size of the house, AGE measures how old the house is, ROOMS measures the number of bedrooms the house has, BATHS measures the number of bathrooms a house has, and GARAGE measures weather it is a 1 or 2 car garage. *see below* Since the 3 variables ROOMS, BATHS, and GARAGE are each not significant at the 10% level of significance individually, in order to test to see if as a group they are significant (versus the alternative that they are not significant and that house values are really determined primarily by LAND, HOUSE SIZE, and AGE) the 3 variables are excluded and another regression is run. The results are as follows: *see below* a) At the 10% level of significance, test whether as a group ROOMS, BATHS, and GARAGE are…