The value of a statistic used to estimate a parameter is called a______of the parameter.
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The value of a statistic used to estimate a parameter is called a______of the parameter.
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- We are testing an effect of a potion that claimed to improve injured people's injuries with 80% of chance. The potion is given to 20 injured people and we observed the number "P" of people who improved. The hypothesis is 0.8 vs. H,: p < 0.8 Use the rejection region RR = {y<12}A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected. Average Distance Number of Facilities (miles) 1.67 11 1.11 16 0.82 21 0.62 27 0.50 30 0.47 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 1.8 T 35 1.8 1.8 1.6- 1.6- 1.6 30 1.4 1.4 1.4 1.2 25 1.2 1.2 1. 1. 1. 20 0.8 0.8 0.8 0.6 15 0.6 0.6- 0.4 0.4 0.4 10 0.2 0.2 0.2 0. 5 0. 0. 10 15 20 25 30 35 0. 0.2 0.4 0.6 0.8 1. 1.2 1.4 1.6 1.8 5 10 15 20 25 30 35 10 15 20 25 30 35 Number Distance Number Number (b) Does a simple linear regression model appear to be appropriate? Explain. O Yes, the scatter diagram suggests that there is a linear relationship. O No, the scatter diagram suggests that there is a curvilinear relationship. O No, the scatter diagram suggests that there is no relationship. (c) Develop an estimated…The following two-by-two table was created from the data. TROUBLE STAYING ASLEEP [outcome] TROUBLE FALLING ASLEEP[predictor] Yes No TOTAL Yes 65 40 105 No 51 110 161 TOTAL 116 150 266 Let TP denote True Positive cases. Let TN denote True Negative cases. Let FP denote False Positive cases. Let FN denote False Negative cases. Trouble staying asleep (outcome) Yes No Trouble falling asleep (predictor) Yes TP FN No FP TN What is the positive predictive value of the predictor variable for the outcome? What is the negative predictive value of the predictor variable for the outcome? Which predictive value (negative or positive) is higher? What proportion of participants have trouble falling asleep and staying asleep? What is the prevalence of “Trouble staying asleep” among study participants?
- FIll in the cells of a copy of the following table so that the two variables are Independent. Do the actual frequencies and those under the assumption of independence appear somewhat similar or quite different? Male Male Had Total Cheated Not Cheated Female Right 162 Female Wrong 41 Total 59 144 203Need greater than ogiveAfter 120 rolls of the die the following data was produced. What test would you use to determine whether the die is fair or not. Face Value 1 2 3 4 5 6 Occurances 20 19 21 30 10 20 Name of Test _____________________________________________
- Can a low barometer reading be used to predict maximum wind speed of an approaching tropical cydone? For a random sample of tropical cyclones, let x be the lowest pressure (in millibars) as a cyclone approaches, and let y be the maximum wind speed (in miles per hour) of the cyclone. x 1004 975 992 935 971 924 y 40 100 65 145 78 147 A USE SALT (a) Make a scatter diagram ofr the data and visualize the line you think best fits the data. * 140 1000 140 1000 120- 120 100 100 80 80 940 60 940 E 60 40 40e. 920li 40 920 40 60 80 100 120 140 940 960 980 1000 60 80 100 120 140 940 960 980 1000 x (lowest pressure (in millibars) x (lowest pressure (in millibars) x (lowest pressure (in millibars)) x (lowest pressure (in millibars) (b) Would you say the correlation is low, moderate, or strong? O low O moderate O strong Would you say the correlation is positive or negative? O positive O negative (C) Use a calculator to verity thatx - 5801, - 5,613,547, E- 575, E- 64,543 and xy - 549,281. Compute r.…Indicate the type of hypothesus each of the following are by indicating directional or non-directional AND null or alternative. mean vocabulary assessment = mean reading assessment (null/alternative) (directional/non-directional) Eating jelly beans causes changes in the amount of cavities in adults and children (null/alternative) (directional/non-directional) More coffee is consumed in Italy than in Canada (null/alternative) (directional/non-directional) Doing practical activites has a negative relationship or no relationship with research methods comprehension (null/alternative) (directional/non-directional)2. Find the least linear fit to the following data: * * 2 3 2 -3 -3 -1 55
- Which of the following can be assessed by a dependent T-Test? Group of answer choices the score means of two distinct group the score means of pre and post tests from same participants the score means of three distinct groupThe table lists the average gestation period (in days) and longevity (in years) for the following mammals, as reported in The World Almanac and Book of Facts 2006. Mammal Gestation, y(days) Longevity, x(years) Mammal Gestation, y(days) Longevity, x(years) Baboon 187 20 Camel 406 12 Bear, black 219 18 Cat 63 12 Bear, grizzly 225 25 Chimpanzee 230 20 Bear, polar 240 20 Chipmunk 31 6 Beaver 105 5 Cow 284 15 Buffalo 285 15 Deer 201 8 Dog 61 12 Monkey 164 15 Donkey 365 12 Moose 240 12 Elephant 645 40 Mouse 21 3 Elk 250 15 Opossum 13 1 Fox 52 7 Pig 112 10 Giraffe 457 10 Puma 90 12 Goat 151 8 Rabbit 31 5 Gorilla 258 20 Rhinoceros 450 15 Guinea pig 48 4 Sea lion 350 12 Hippopotamus 238 41 Sheep 154 12 Horse 330 20 Squirrel 44 10 Kangaroo…A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected. Number of Facilities Average Distance (miles) 9 1.67 11 1.11 16 0.84 21 0.61 27 0.51 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. CELL 0.2 0.4 0.6 0.8 1.2 1.4 1.6 1.8 Number Number Number Distance @ (b) Does a simple linear regression model appear to be appropriate? Explain. O Yes, the scatter diagram suggests that there is a linear relationship. O No, the scatter diagram suggests that there is no relationship. O No, the scatter diagram suggests that there is a curvilinear relationship. (c) Develop an estimated regression equation for the data of the form ý = b + b₁x + b₂x²: a second-order model with one predictor variable. (Round your numerical values to four decimal places.) ŷ =
