Assume a 2X2 toble, Summarizing resnlts for tuo indepen dent ye, binomial variates y, and with n, Ond n trials. Remember that independence is equivalent to the homogeneity condhton, 7,=72. Then prove that the Sore test-fr H.: 7,= 72 produces th
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- O Assighmant Score! < Question 12 of 16 Of the many species of oak trees in the United States, 28 grow on the Atlantic Coast and 11 grow in California. The back-to-back stemplot displays data on the average volume of acorns (in cubic centimeters) for these 39 oak species. Atlantie Const 998643 0 | Callifornia Which of the following are correct comparisons of the 4. 88864211111 1 50 2 6640 3 06 06 distributions of acorn volumes for the Atlantic Coast and California? 8 4 1 5 86 I. Both distributions have similar variability. II. Both distributions have similar medians. 59 1 8 1 9 10 11 III. Both distributions have possible outliers. O I and III only Key: 26 = An oak species whose acorn volume is 2.6 cm. O II and III only 15 16 17 O II only O I only O III only 1 From the Electronic Encyclopedia of Statistics Examples and Exercises (EESEE) story "Acorn Size and Oak Tree Range."Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested.If 4.1% of the thermometers are rejected because they have readings that are too high and another 4.1% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others.interval of acceptable thermometer readings = _________ °CConsider that μ1 and μ2 are the true mean stopping distances for motorcycles at 30 mph equipped with two different sets of tires. Tire set 1 is more expensive, so we only want to buy them if there is strong evidence that there is a mean stopping distance of at least 3 ft shorter at 30 mph. For Tire set 1, after nine tests, we get an x-bar1 of 110 ft and an s1 of 5 ft. For Tire set 2, after eight tests, we get an x-bar2 of 120 ft and an s2 of 6 ft. Assume that the distributions of stopping distances are roughly normal. (a) Find a point estimate of μ1 – μ2. Is the estimate biased or unbiased? (b) Find the estimated standard error the point estimate of μ1 – μ2? (c) Formulate and test the appropriate hypothesis at the α = 0.05 level.
- a rescarch study reports tCH)=2.n. How many in the study? CHOW big was the sample? Is this E'statistic sufticrent to reject the nvil hypathos using a twotaiked test with a .oS? individuals participatedA study of sizes of metastatic carcinoid tumors in the heart was conducted. Based on that study, we assume that Page 2 of 2lengths of metastatic carcinoid tumors in the heart are normally distributed with mean 1.8 cm and standarddeviation 0.5 cm. Determine the percentage of metastatic carcinoid tumors in the heart that (7 Marks)a). are between 1 cm and 2 cm long.b). exceed 3 cm in length.Please don't hand writing suliutio
- A major credit card company is investigating whether the distribution of the number of credit cards used by its customers has changed from last year to this year. Customers are classified as using 1 card, 2 cards, or more than 2 cards. The company conducts a chi-square goodness-of-fit test to investigate whether there is a change in the distribution of number of cards used from last year to this year. The value of the chi-square test statistic was χ2=7.82χ2=7.82 with a corresponding pp-value of 0.02. Assuming the conditions for inference were met, which of the following is the correct interpretation of this pp-value?Suppose 140 geology students measure the mass of an ore sample. Due to human error and limitaions in the reliability of the balance, not all the readins are equal. The results are found to closley approxiamate a normal curve, with mean 88 g and standard deviation 1 g. Use the symmetry of the normal curve and the emirical rule as needed to estimate the number of students reporting readings more than 88 g.A researcher suspects that the mean birth weights of babies whose mothers did not see a doctor before delivery is less than 3000 grams. The researcher states the hypotheses as H:x = 3000 grams H, x 3000 grams; He:x< 3000 grams, where x = the mean birth weights of the sample of babies whose mothers did not see a doctor before delivery. Ho: x < 3000 grams; H,:x = 3000 grams, where x = the mean birth weights of the sample of babies whose mothers did not see a doctor before delivery. Ho: = 3000 grams; H # 3000 grams, where = the true mean birth weights of all babies whose mothers did not see a doctor before delivery. Ho: i = 3000 grams; H:< 3000 grams, where = the true mean birth weights of all babies whose mothers did not see a doctor before delivery. O Ho : š == 3000 grams; H. x 3000 grams, where x = the mean birth weights of the sample of babies whose mothers did not see a doctor before delivery.
- We have a dataset with n = 10 pairs of observations (ri, Y;), and Σ 683, ) = 813, > ) TiYi = 56, 089, >v = 66, 731. = 47, 405, What is the mecan squared crror estimate for the variance of the residuals?Consider the following set of three distributions, all of which are drawn to the same scale. Identify the two distributions that are normal. Of the two normal distributions, which one has the larger variation? Q 9 The two normal distributions are Ar 1. ^. where Ar 1) and (2) and (c) P) and (4) has the larger standard deviation.PLS HELP!
