Find the Anova for: Group1: 5,1,11,2,8 Group2: 0,1,4,6,3 Group3: 13,9,8,15,7
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- A mayor running for re-election claims that during his term, average municipal taxes have fallen by $100. A conscientious statistician wants to test this claim. He surveys 38 of his neighbors and finds that their taxes decreased (in dollars) as follows:113, 85, 109, 97, 117, 87, 105, 116, 84, 122, 118, 107, 108, 115, 100, 100, 107, 111, 101, 108, 71, 107, 80, 103, 86, 121, 117, 83, 113, 107, 124, 102, 78, 112, 96, 97, 88, 117The statistician assumes a population standard deviation of $14. Do you think the statistician should reject the mayor's claim? Why or why not?Step 1: State the hypothesis. = Step 2: Determine the Features of the Distribution of Point Estimates Using the Central Limit Theorem.By the Central Limit Theorem, we know that the point estimates are ___ with distribution mean ____ and distribution standard deviation ______.Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate.P(___ ___ ___ ) = P(___ ___ _____ )= _____College entrance exams have a large effect on which university a student will attend once they graduate from high school; thus, there are many college preparatory exam companies claiming they can significantly increase a student’s ACT score. Nine college students who have already taken the ACT were randomly selected to participate in a college preparatory exam course. Their scores on the ACT before and after the preparatory course are given in the table below. Before: 26, 24, 20, 25, 21, 26, 18, 23, 27 After: 24, 24, 21, 25, 21, 28, 19, 25, 29 Hypothesis test needed After:A mayor running for re-election claims that during his term, average municipal taxes have fallen by $125. A conscientious statistician wants to test this claim. He surveys 37 of his neighbors and finds that their taxes decreased (in dollars) as follows: 121, 139, 121, 125, 118, 145, 141, 91, 127, 136, 144, 154, 131, 139, 139, 125, 108, 130, 125, 106, 137, 148, 154, 134, 137, 112, 96, 114, 114, 126, 133, 129, 94, 129, 148, 163, 121 The statistician assumes a population standard deviation of $19. Do you think the statistician should reject the mayor's claim? Why or why not? Step 1: State the hypothesis. ?v= Step 2: Determine the Features of the Distribution of Point Estimates Using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are [Select an answer with distribution mean and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P? ✓ ? ♥ = P(? ? ♥
- For each of these 10 samples, compute Statistics 1, 2, and 3. Enter your answers as 3 numbers separated by commas, such as 1,2,3. 2, 3, 3* 2, 3, 4 2, 3, 4* 2, 3*, 4 2, 3*,4* 2, 4, 4* 3, 3*, 4 3, 3*, 4* 3, 4, 4* 3*, 4, 4* Which statistic would you recommend for estimating u? Average of smallest and largest values in the sample Question HelnThe following test scores are for two classes that took the same test. (The highest possible score on the test was 60.) Class 1 (24 scores): 37, 45, 52, 55, 11, 55, 44, 55, 35, 25, 52, 42, 35, 21, 42, 52, 41, 40, 34, 51, 41, 41, 41, 41 Class 2 (25 scores): 50, 40, 40, 23, 40, 50, 31, 31, 40, 31, 31, 31, 53, 33, 33, 35, 55, 24, 39, 40, 41, 59, 41, 39, 46 Form a back-to-back stem and leaf plot with one stem. Put the leaves for one class on the right side of the stem and the leaves for the other class on the left side. Record the leaves in increasing order from the stem. Leaf (Class 1) Stem Leaf (Class 2) 4 3 1Q1) Below find the records of 12 randomly selected used pickup trucks (none used commercially) and 11 randomly selected used passenger cars, the time (in years) that they were kept by the original owner before being sold: Used pickup trucks | 3 | 2.5 2.9 5 4.2 3.1 3.3 4 5.3 3.8 4.5 Used passenger cars | 2.2 3 2.8 4.3 4 3.3 2.9 2.1 2 3.1 3 It is known that the standard deviation of used pickup trucks is 2 years and of used passenger cars is 1 year. (a) Investigate, at the 5% significant level, whether the mean time (in years) that used pickup trucks were kept by the original owner before sold is larger than used passenger cars. (b) What assumption is needed to perform the test in (a). (c) Construct the 96% confidence interval for the mean difference of time (in years) were kept by the original owner before sold between used passenger cars and used pickup trucks. Use this confidence interval to tell whether there is difference in the mean time (in years) between these 2 tynes of…
- Q 4: Mr. Ahmed who is a manager at PVR Multiplex Muscat has conducted a survey to investigate the number of people visited the theatre in the last 30 days. The number of people visited the theatre in the last 30 days are: 30, 36, 39, 37, 36, 54, 38, 33, 37, 33, 33, 36, 32, 48, 42, 38, 36, 35, 30, 33, 39, 37, 33, 36, 30, 39, 44, 32, 44 and 50. Find out the grouped frequency distribution using 5 classes. Which graph will be suitable to present the grouped frequency distribution? Give reasons to your answer Cumulative frequency and relative frequency are same. Discuss criticallyHere is a sample of amounts of weight change (kg) of college students in their freshman year: 13, 7, -3, -5, where -5 represents a loss of 5 kg and positive values represent weight gained. Here are ten bootstrap samples: {13, 13, 13, -3), (13, -5, -3, 13}, {13, 5, 7, 3), (7, 5, 3, 13), {-3, -3, -3, 7}, {7, 5, 7, 5), (13, 7, 5, 3}, {-5, 7, 5, 7), {-5, -3, -5, 7}, {7, 13, 13, 13). Complete parts (a) and (b) below. a. Using only the ten given bootstrap samples, construct an 80% confidence interval estimate of the mean weight change for the population. (Round to one decimal place as needed.)Ten corvettes between one and six years old were randomly selected from the classified ads of the Arizona republic the following data were obtained where X denotes age in years and y denotes price in hundreds of dollars. x (age) 6,6,6,2,2,5,4,5,1,4 price(100ths) 270,260,275,405,364,295,335,308,405,305 (a).draw a scatter diagram. (B)Find the nearest correlation coefficient r. (C)
- A mayor running for re-election claims that during his term, average municipal taxes have fallen by $150. A conscientious statistician wants to test this claim. She surveys 45 of her neighbors and finds that their taxes decreased (in dollars) as follows: 149, 135, 147, 147, 160, 146, 165, 144, 142, 159, 138, 185, 143, 164, 143, 154, 163, 151, 171, 156, 133, 145, 180, 172, 166, 167, 149, 144, 154, 172, 138, 168, 179, 151, 131, 165, 114, 140, 162, 151, 136, 152, 157, 154, 136 The statistician assumes a population standard deviation of $13. Do you think the statistician should reject the mayor's claim? Why or why not? Step 1: State the hypothesis. ? Step 2: Determine the Features of the Distribution of Point Estimates Using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are [Select an answer distribution mean with and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P? ✓ ? ✓…review(5c): Given the ANOVA table below ,how many groups are there? Source SS df MS Fstatistic Between 324 Within 1215 27 total 1539 49 (a) 49 (b) 5 (c) 4 (d) 50The following test scores are for two classes that took the same test. (The highest possible score on the test was 60.) Class 1 (24 scores): 37, 46, 54, 55, 15, 55, 44, 55, 37, 26, 52, 44, 31, 23, 44, 52, 41, 41, 30, 50, 41, 41, 41, 41 Class 2 (25 scores): 50, 40, 40, 25, 40, 57, 31, 31, 40, 31, 33, 33, 57, 33, 34, 34, 57, 29, 34, 41, 41, 58, 41, 34, 45 Form a back-to-back stem and leaf plot with one stem. Put the leaves for one class on the right side of the stem and the leaves for the other class on the left side. Record the leaves in increasing order from the stem. Leaf (Class 1) Stem Leaf (Class 2) 3 2 1
