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- Use a spreadsheet or some other method to complete the given table. Р(х, у) %3 х — 0.2у + 0.85ху 10 20 30 40 10 20 30 40Twelve cars were equipped with radial tires and driven over a test course. Then the same 12 cars (with the same drivers) were equipped with regular belted tires and driven over the same course. After each run, the cars' gas economy (in kilometer/liter) was measured. Data are shown below. Assume gas economy for both types of tires are normally distributed. Do the data provide enough evidence to show that radical tires produce higher gas economy? What's the difference between population means for gas economy? Gas eco (radial) 4.2 4.7 6.6 7.0 6.7 4.5 5.7 6.0 7.4 4.9 6.1 5.2 Gas eco (belted) 4.1 4.9 6.2 6.9 6.8 4.4 5.7 5.8 6.9 4.7 6.0 4.9 What is the 90% confidence interval? Round to 4 decimal places if necessary.In an estimated model, if the Announced Sum of Squares (AKT) and Residual Sum of Squares (SSC) are 70 and 140, respectively, what is the “significance coefficient” of the model as a percentage?
- A national newspaper reported that the state with the longest mean life span is Hawaii, where the population mean life span is 76 years. A random sample of 20 obituary notices in the Honolulu Advertizer gave the following information about life span (in years) of Honolulu residents. 72 68 81 93 56 19 78 94 83 84 77 69 85 97 75 71 86 47 66 27 Assuming that life span in Honolulu is approximately normally distributed, does this information indicate that the population mean life span for Honolulu residents is less than 76 years? Use a 10% level of significance. What is the level of significance? What is the value of the sample test statistic? (Round your answer to three decimal places.) Find the P-value. (Round your answer to four decimal places.)Water availability is of prime importance in the life cycle of most reptiles. To determine the rate of evaporative water loss of a certain species of lizard at a particular desert site, 34 such lizards were randomly collected, weighed and placed under the appropriate experimental conditions. After 24 hours, each lizard was removed, weighed, and its total water loss was calculated by subtracting its body weight after treatment from its initial body weight. Previous studies have shown that the relative frequency distribution of water loss for this species of lizard has a mean of 3.1 grams and a s.d. of 0.8 gram. a) What is the approximate sampling distribution of x , the mean water loss of the 34 lizardsThe Centers for Disease Control and Prevention (CDC) estimated the percent of individuals in each state who are classified as overweight or obese in different years. They calculated the estimates separately for three different age classes, including children (2-4 years old), adolescents (students in grades 9-12), and adults (aged 18 years and older). The boxplots display the given five-number summaries (Min, First Quartile (Q₁), Median, Third Quartile (Q3), Max) computed based on the data for two different age classes. Match the appropriate descriptions to the data sets. 10 11 12 13 14 15 16 17 18 Adolescents who were overweight in 2013 (%) Min Q1 Median Q3 Max 11.00 13.80 14.95 15.68 17.10 6 20 8 10 12 14 16 18 Adolescents who were obese in 2013 (%) Min Q1 Median Q3 Max 6.40 11.25 12.45 13.50 18.00. Answer Bank 25% of values are less than 13.80 the distribution is skewed to the left 25% of the values are less than 11.00 25% of values are less than 11.25 25% of the values are less than…
- Data originally from DASL http://lib.stat.cmu.edu/DASL/Datafiles/CancerSurvival.html (Links to an external site.). Some bronchial cancer patients had the following survival times (in days) after receiving a certain treatment: 20, 37, 63, 64, 72, 81, 138, 151, 155, 166, 166, 223, 245, 246, 450, 459. (The second instance of “166” is not a mistake.) Do these numbers suggest that the average survival time, for all bronchial cancer patients who receive that treatment, is significantly different from 200 days? CANCER SURVIVAL Report an appropriate one-sample hypothesis test and use a 10% significance level. For Step 4 of the six-step process that was taught in this class, choose the BEST option to complete the following sentence: We assume that the sample of subjects is a SRS and we assume that the population of observations has no outliers ... and is Normally distributed. and is without a doubt bell-shaped. and is Uniformly distributed. (nothing needs to go here because the sample…apter 10) Post-Class A consumer advocate researches the length of life between two brands of refrigerators, Brand A and Brand B. He colle (measured in years) on the longevity of 40 refrigerators for Brand A and repeats the sampling for Brand B. These data in years. (You may find it useful to reference the appropriate table: z table or t table) Brand A Brand B Brand A Brand B 17 16 23 24 18 22 14 16 14 24 17 18 19 18 20 22 19 19 22 18 24 19 14 12 14 16 22 23 22 18 24 21 23 19 12 20 19 13 18 15 13 23 17' 19 15 23 16 16 21 16 14 19 12 21 22 14 21 24 24 12 P 15 12 12 20 15 16 12 19 24 21 20 20 13 15 19 21 14 20 14 Click here for the Excel Data File Saved Assume that μ₁ is the mean longevity for Brand A and 2 is the mean longevity for Brand B. a. Select the competing hypotheses to test whether the average length of life differs between the two brands. O He: H1 - H₂ = 0; HA: M1 - µ2 * 0Data originally from DASL http://lib.stat.cmu.edu/DASL/Datafiles/CancerSurvival.html (Links to an external site.). Some bronchial cancer patients had the following survival times (in days) after receiving a certain treatment: 20, 37, 63, 64, 72, 81, 138, 151, 155, 166, 166, 223, 245, 246, 450, 459. (The second instance of “166” is not a mistake.) Do these numbers suggest that the average survival time, for all bronchial cancer patients who receive that treatment, is significantly different from 200 days? CANCER SURVIVAL Report an appropriate one-sample hypothesis test and use a 10% significance level. For Step 5 of the six-step process that was taught in this class, which would be the appropriate procedure and why? Choose the correct option. Group of answer choices We would do a t-procedure because we have the standard deviation. We would do a t-procedure because the sample size is large. We would do a t-procedure because we do not have the population standard deviation and…
- The Wall Street Journal asked Concur Technologies, Inc., an expense management company, to examine data from 8.3 million expense reports to provide insights regarding business travel expenses. Their analysis of the data showed that New York was the most expensive city. The following table shows the average daily hotel room rate (X) and the average amount spent on entertainment (Y) for a random sample of 9 of the 25 most-visited U.S. cities. These data lead to the estimated regression equation y = 17.49 + 1.0334x. For these data SSE = 1541.4. Use Table 1 of Appendix B. a. Predict the amount spent on entertainment for a particular city that has a daily room rate of $89 (to 2 decimals). b. Develop a 95% confidence interval for the mean amount spent on entertainment for all cities that have a daily room rate of $89 (to 2 decimals). c. The average room rate in Chicago is $128. Develop a 95% prediction interval for the amount spent on entertainment in Chicago (to 2 decimals).Isle Royale, an island in Lake Superior, has provided an important study site of wolves and their prey. Of special interest is the study of the number of moose killed by wolves. In the period from 1958 to 1974, there were 296 moose deaths identified as wolf kills. The age distribution of the kills is as follows. Age of Moose in Years Number Killed by Wolves Calf (0.5 yr)1-56-1011-1516-20 1145474495 (a) For each age group, compute the probability that a moose in that age group is killed by a wolf. (Round your answers to three decimal places.) 0.5 1-5 6-10 11-15 16-20 (b) Consider all ages in a class equal to the class midpoint. Find the expected age of a moose killed by a wolf and the standard deviation of the ages. (Round your answers to two decimal places.) ? = ? =Water availability is of prime importance in the life cycle of most reptiles. To determine the rate of evaporative water loss of a certain species of lizard at a particular desert site, 34 such lizards were randomly collected, weighed and placed under the appropriate experimental conditions. After 24 hours, each lizard was removed, weighed, and its total water loss was calculated by subtracting its body weight after treatment from its initial body weight. Previous studies have shown that the relative frequency distribution of water loss for this species of lizard has a mean of 3.1 grams and a s.d. of 0.8 gram b) What is the probability that x is less than 2.7 grams?
