(a) A host on a cruise ship warits systematic sample of passengers? O The host forms 4 groups of passengers based on the levels of the ship that the passengers' cabins are on. Then, he selects 16 passengers at random from each group. The host assigns each passenger a different number. Using a random numher table, he draws 64 of those numbers at random. Then, he selects the passengers assigned to the drawn numbers. Every set of 64 passengers is equally likely to be drawn using the random number table. O The host takes a list of the passengers and selects every 4" passenger until 64 passengers are selected. (b) A chemist at a pharmaceutical company wants to test the quality of a new batch of microscopes. Which of the following best describes a convenience sample of microscopes? O The chemist takes a list of the microscopes and selects every 7h microscope until 56 microscopes are selected. O The microscopes in the first shipment that was received are easily accessible. So, he selects all S6 of the microscopes in this shipment. O The chemist assigns each microscope a different number. Using a random number table, he draws 56 of those numbers at random. Then, he selects the microscopes assigned to the drawn numbers. Every set of 56 microscopes is equally likely to be drawn using the random number table. (c) A city manager wants to poll residents about a park renovation. Which of the following best describes a stratified sample of residents? O The city manager forms groups of 8 residents based on the streets the residents live on. Then, she selects all of the residents in 9 randomly chosen groups. O The first 72 residents who walk into city hall one day are easily accessible. So, the city manager selects these residents. O The city manager forms 6 groups of residents based on the residents' incomes. Then, she selects 12 residents at random from each group.

A bag of candy contains 5 different types of colored candies; red, green, blue, yellow, and orange. According to the manufacturer, bags should contain an equal number of each color. Students in a statistics class decided to use a chi-square procedure to test the manufacturer’s claim. They opened a bag of candy and recorded the number of candies of each color. The results are shown in the following table. Red Green Blue Yellow Orange 17 24 20 25 14 Which color contributes most to the chi-square test statistic?     Red A Green B Blue C Yellow D Orange

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A group of students at a local university were asked about their status (undergraduate, graduate, or non-degree seeking) and how they get to campus (walk/bike or car/bus/etc.). The results are summarized in the table below. How do you get to Campus? Walk/Bike Car/Bus/etc. Total Undergraduate 80 20 100 Graduate 40 10 50 Non-degree Seeking 10 40 50 Total 130 70 200 Suppose we choose a person at random from this sample. Which of the following statements is true? (A) If the person uses a car/bus/etc. to get to campus, then he or she is more likely to be a non- degree seeking student than a degree seeking student (undergraduate or graduate). (B) If the person is an undergraduate, then he or she is more likely to use a car/bus/etc. to get to campus than to walk/bike to campus. (C) The person is more likely be a graduate student if he or she uses a car/bus/etc. to get to campus than if he or she walks/bikes to campus. (D) The person is more likely to use a car/bus/etc. to get to campus than…

a. A marine biologist measures the effectiveness of mating displays among tortoises in one of six environmental conditions. Ten tortoises are randomly assigned to each condition. (for this item, also give the degrees of freedom) b. A neuropsychologist measures the behavioral response to electrical stimulation in one of five brain regions. c. A sociologist records the number of children born in a local village each season (spring, summer, fall, winter) in a single year. d. A social psychologist has participants rate the likability of a person described as having one of three types of leadership styles. The breakdown of leadership styles is 25 autocratic, 25 bureaucratic, and 25 democratic. (for this item, also give the degrees of freedom) For items (a) – (d) identify the following: k? N? n? (assumed equal size groups)? What is the decision at 0.05 level of significance for each of the following tests? Are post hocs necessary? a. F(3, 28) = 3.00 b. F(1, 40) = 4.98 c. F(4, 30) = 2.72 d.…

a. Find the sample space using a tree diagram to show the possibilities Elaine has to choose a mattress. b. What is the probability that Elaine chooses a memory foam-topped mattress? Write the number of ways Elaine chooses a memory foam-topped mattress. (Refer to sample space)