1. The graph represents the level of happiness at different times of day. Use the graph to answer the questions below. Note that time is measured from midnight, so "12" is noon. Average Level of Happiness Time of Day, hours since midnight 10 11 13 15 16 17 18 19 20 21 22 12 14 a. At what time is the level of happiness the high- est? What is the level at that time? b. What was the happiness level at 4 p.m.? What other times had the same happiness level? d. During what time interval does the happiness level remain constant? c. At what time(s) was the happiness at level 3?
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- 2) A researcher is interested in studying if male smokers and female smokers smoke a different number of cigarettes each day. She takes a sample of 10 male smokers and 10 female smokers from a nearby motorcycle club by asking the first 10 smokers of each gender she encountered. Their results are recorded below. Male 18 25 30 16 24 32 15 27 19 15 Female 12 15 36 30 12 18 34 22 10 12 Answer the following: a. Create appropriate graph(s) that can be used to compare the samples. Using the graph(s) to explain: does it appear that the number of cigarettes smoked by each gender are different? b. To run a formal test, which test will you run and which distribution will you use? Explain why for each. Are there any concerns you have about using the results of this test? c. Write the following hypothesis in symbols: Null Hypothesis: The average number of cigarettes smoked by male and female smokers is the same. H0: ________________________…Is it better to use a line or bar graph for each of the following and why? -a change in gpa over four semesters - number of applicants for four different jobs -change in enrollment over the school year -the sale of three different types of products *ANSWER ALL PARTS OF THE QUESTION*Answer this question per the graph 1. What other items do you think need to be included in Dr. Zak’s domain sampling? Dr. Zak developed a test to measure depression. He sampled 100 university students to take his five item test. The group of students was comprised of 30 men and 70 women. In this group, four persons were African American, six persons were Hispanic, and one person was Asian. Zak’s Miraculous Test of Depression is printed below: 1. I feel depressed: Yes No 2. I have been sad for the last two weeks: Yes No 3. I have seen changes in my eating and sleeping: Yes No 4. I don’t feel that life is going to get better: Yes No 5. I feel happy most of the day: Yes No Yes = 1; No = 0 The mean on this test is 3.5 with a standard deviation of .5
- here are the 2 questions that needs to be answered, these two questions can be answered by looking at the graph in the picture. Question 1: Which graph has the greatest mean? A.) Graph A B.) Graph B C.) Graph C D.) None of these. Question 2: Which graph has the lowest standard deviation? A.) Graph A B.) Graph B C.) Graph C D.) None of these.The data in the figure below represents the annual salariesof 120 professional mathematicians. 3) What is the kind of graph shown above called? 4)Approximately how many mathematicians make$50,000 or more?Drunk-Driving Fatalities. Drunk-driving fatalities represent the total number of people (occupants and non-occupants) killed in motor vehicle traffic crashes in which at least one driver had a blood alcohol content (BAC) of 0.08 or higher. The following graph is based on data published by the National Highway Traffic Safety Administration in Federal Highway Administration Annual Highway Statistics. a. What features of the graph are potentially misleading? b. Do you think that it was necessary to incorporate those features in order to display the data? c. What could be done to more correctly display the data?
- The weight or cost of a path in a weighted graph is the sum of edge weights of a path. The shortest path from a vertex s to a vertex t is the least cost path from s to t. Given the graph below, which of the following path from s to t is the shortest path?The Internet The NAEP report described in Exercise 39compared science scores for students who had homeInternet access to the scores of those who did not, asshown in the graph. They report that the differences arestatistically significant.a) Explain what “statistically significant” means in thiscontext.b) If their conclusion is incorrect, which type of error didthe researchers commit? c) Does this prove that using the Internet at home can im-prove a student’s performance in science?12. Given the graph below,
- 5. Mr. Mike Hunt wants to make an investment in the stock market. He has shortlisted stocks and wants to know the frequency of the prices. So, he created the following table where the number of stocks falling in the particular price categories. a. Represent the data set in a suitable graph with appropriate information (like title, axis, label etc.) and comments on the graph.b. How many stocks Mr. Rahman shortlisted that cost below 1900?c. Which class has the maximum and minimum no. of shares?d. Which class has the second maximum and second minimum no. of shares?Is there a relationship between autism and what an infant is fed? To determine if there is, a researcher asked mothers of autistic and non-autistic children to say what they fed their infant. The data are in table below a) Since data were collected for variable(s), the correct graph to make is a b) Which of the following is the correct graph for the above data with Feeding grouped by Autism.What would the graph be for the following? Categories Observed frequencies Proportion Expected frequencies E=np Republican 25 0.35 75×0.35=26.25 Democrat 30 0.44 33 Other 20 0.21 15.75 Total n=75 1 75