2 -1 -2 -3 -4 2 Scenario 1 3 2 1 ° -1 Scenario 2 Scenario 3 5 -5 -4 -3 -2 -1 1 3 -5 -4 -3 -2 -1 01 Scenario 4 4 3 1 0 -1 -2 -3 -4 Scenario 5 4 3 2 1 ° -1 -2 -3 -5 3 -5 -4 -3 -2 -1 1 2 3 4 Scenario 6 4 3 2 1 0 -1 -2 -3 -5 -5 -5 -5 -4 -3 -2 -1 1 3 5 -5 -3 -1 1 3 -5 -1 0 1 2 3 4 5
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We have provided several scenarios describing pairs of (continuous) random variables via contour plots,
(a) E[X] noticeably more than 0
(b) E[Y ] noticeably less than 0
(c) Var[X] noticeably larger than Var[Y ]
(d) Cov[X, Y ] noticeably more than 0
(e) absolute val (ρX,Y) close to 1
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- Shaquille O’Neal Shaquille O’Neal was a professional basketball star who had a reputation for being a poor free-throw shooter. In his career, he made 5935 of 11,252 free throws that he attempted, for a success ratio of 0.527. Describe a procedure for using software or a TI-83/84 Plus calculator to simulate his next free throw. The outcome should be an indication of one of two results: (1) The free throw is made; (2) the free throw is missed.A special education teacher did research on whether or not there is a relationship between the number of students in his class and the number incidents of “acting out” behaviors exhibited by the autistic students in the classroom. He collects data for a year and aggregates them by month. He obtained the statistics below, r= -.863 R2=.74 b= -1.212294 a= 131.176598 10.) How does the presence of more students affect the incidents in the class? a) as students are added the incidences increase b) as students are added the incidences decrease c) the number of students does not affect acting out d) the number of students caused more incidents How much of the variability of acting out is explained by the number of students in the class?___________A gardener applied chemical "Z" to plants in a flower bed. (S)he observed that the plants grew dramatically during the next two weeks. Using only the information from the previous two sentences, write a hypothesis about the effect of chemical "Z" on plants. (Note: Your hypothesis must be a testable statement.) A researcher conducted a series of experiments to test the effect of chemical “Z” on plants. The data from the experiments is summarized in the graph below. (Image of the Graph attached.) Interpret the graph above. What did the researcher learn about the effect of chemical “Z?” Based on the researcher’s graph, what can you conclude about the hypothesis you wrote for Question 7 above?
- The management of the local zoo wants to know if all of their animal exhibits are equally popular. If there is significant evidence that some of the exhibits are not being visited frequently enough, then changes may need to take place within the zoo. A tally of visitors is taken for each of the following animals throughout the course of a week, and the results are contained in the following table. At a = 0.025, determine whether there is sufficient evidence to conclude that some exhibits are less popular than others. Animal Exhibits at the Zoo Elephants Lions/Tigers Giraffes Zebras Monkeys Birds Reptiles Number of 164 166 172 188 165 139 142 visitors Copy Data Step 4 of 4: Draw a conclusion and interpret the decision. Next Prev 国 Tables E Keypad Answer Keyboard Shortcuts We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.025 level of significance that some exhibits are less popular than others. We fail to reject the null hypothesis and conclude…Below is my script for some problems I am doing in RStudio. How do I code to get the statistical data that shows how the male tv hours differ to the female tv hours? Chapter 2 R Lab.R X StudentSurvey.(1) x Source on SaveE T # 3- Ine Exercise nours are skewea Tert 8 xtabs (~Year, Student Survey. (1)) 9 # 1- The highest concentration of students are Sophomores 10 table(Year)/length (Year) II # 2- The relative frequency for seniors was 0.1% (rounded) 11 Student Survey. (1) STV 12 12 TV 13 14 23 15 16 29 18 19 20 21 22 23 21 24:1 hist (TV) →→Run boxplot (TV) # 6- Based on the box plot there is not a smallest outlier, but there are large outliers # The outliers for hours spent watching TV are any values above 20 hours Survey - Student Survey. (1) #Renaming xtabs (~Sex, Survey) install.packages ("lattice") library("lattice") bwplot (TV Sex, Survey) # 7- Men on average watch more TV # 8- Men have more variability in hours watching TV (Top Level) + Source R Script =Thank you :)
- Can a person train to become better at holding their breath? An experiment was designed to find out. Twelve volunteers were randomly assigned to 1 of 2 groups. The 6 volunteers assigned to group 1 were given breath-holding exercises to perform for 2 weeks. The other group was not given any information about the experiment. At the end of the 2 weeks, all 12 volunteers were individually tested to determine how long they could hold their breath. Here are the data (in seconds). Group 1: 90, 88, 70, 110, 75, 105 Group 2: 40, 48, 35, 50, 55, 62 The researcher would like to determine if these data provide convincing evidence that the true mean amount of time volunteers who were given training held their breath is greater than volunteers without training. Let ₁ = the true mean amount of time that volunteers who were given training held their breath and ₂ = the true mean amount of time that volunteers without training held their breath. What are the appropriate hypotheses? Ho: U1 - U2 = 0, Ha:…A pharmaceutical company has developed a drug that is expected to reduce hunger. To test the drug, three samples of rats are selected with n=9 in each sample.The first sample receives the drug every day. The second sample is given the drug once a week, and the third sample receives no drug at all (the control group). These assignments of drugs are called treatments.The (dependent) variable being compared is the amount of food eaten by each rat over a 1-month period. These data are analyzed by an ANOVA, and the results are reported in the following summary table. How many groups (or population means or treatments) are being compared in this problem? _________ (Enter a whole number) What is the total number of data used in this problem? _________(Enter a whole number) Fill in all missing values in the table. (Hint: Start with the df column and your above answers.)If there are decimal places in your answer, provide 2 or more decimal places. Source of Variation SS df MS F…Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 188 cm and weights of 38 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.62 cm, y = 81.37 kg, r 0.113, P-value = 0.263, and y = - 105+1.01x. Find the best predicted value of y (weight) given an adult male who is 142 cm tall. Use a 0.05 significance level. %3D The best predicted value of y for an adult male who is 142 cm tall is kg. (Round to two decimal places as needed.)
- The management of the local zoo wants to know if all of their animal exhibits are equally popular, If there is significant evidence that some of the exhibits are not being visited frequently enough, then changes may need to take place within the zoo. A tally of visitors is taken for each of the following animals throughout the course of a week, and the results are contained in the following table. At a = 0.10, determine whether there is sufficient evidence to conclude that some exhibits are less popular than others. Animal Exhibits at the Zoo Elephants Lions/Tigers Giraffes Zebras Monkeys Birds Reptiles Number of 128 161 162 128 165 163 132 visitors Copy Data Step 1 of 4: State the null and alternative hypotheses in terms of the expected proportion for each animal exhibit. Enter your answer as a fraction or a decimal rounded to six decimal places, if necessary. Ho P = H Some exhibits are less popular than others. The management of the local z00 wants to know if all of their animal…Peter is trying to figure out the sample size for the data set he wants to collect. He is considering having the bound on the error of estimation to be either 3.5 or 4.5. Explain to Peter the impact these different errors will have on his sample size.An agricultural field trial compares the yield of two varieties of corn. The researchers divide in half each of 8 fields of land in different locations and plant each corn variety in one half of each plot. After harvest, the yields are compared in bushels per acre at each location. The 8 differences (Variety A - Variety B) give x¯=3.07 and s=5.11. Does this sample provide evidence that Variety A had a higher yield than Variety B? (a) State the null and alternative hypotheses: (Type "mu" for the symbol μμ , e.g. mu > 1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1)H0 : Ha : (b) Find the test statistic, t = 7,6
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