5. The manufacturer of a gasoline additive claims that the use of this additiveincreases gasoline mileage. A random sample of six cars was selected, and thesecars were driven for 1 week without the gasoline additive and then for 1 weekwith the gasoline additive. The following table gives the miles per gallon for thesecars without and with the gasoline additive.WithoutWith24.6 28.3 18.9 23.7 15.426.3 31.7 18.2 25.318.329.530.9Assume that the population of paired differences is (approximately) normallydistributed.a) Construct a 99% confidence interval for the mean a of the population ofpaired differences, where a paired difference is equal to the miles per gallonwithout the gasoline additive minus the miles per gallon with the gasolineadditive.b) Using a 2.5% significance leve can you conclude that the use of thegasoline additive increases the gasoline mileage? Use the Critical Value Approach.

Given that: Without With 24.6 26.3 28.3 31.7 18.9 18.2 23.7 25.3 15.4 18.3 29.5 30.9

Answered: 5. The manufacturer of a gasoline…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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?___________
To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained. Machine1 Machine2 Machine3 Machine4 6.6 9.1 10.9 9.6 8.1 7.8 9.9 12.4 5.6 9.7 9.4 11.7 7.8 10.3 10.1 10.6 8.8 9.5 8.8 10.9 7.5 10.0 8.5 11.4 (a) At the ? = 0.05 level of significance, what is the difference, if any, in the population mean times among the four machines? State the null and alternative hypotheses. H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4Ha: ?1 = ?2 = ?3 = ?4 H0: ?1 = ?2 = ?3 = ?4Ha: ?1 ≠ ?2 ≠ ?3 ≠ ?4 H0: At least two of the population means are equal.Ha: At least two of the population means are different. H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3 = ?4 H0: ?1 = ?2 = ?3 = ?4Ha: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Reject…
Some people believe that different octane gasoline result in different miles per gallon in a vehicle. The following data is a sample of 11 people which were asked to drive their car only using 10 gallons of gas and record their mileage for each 87 Octane and 92 Octane. Miles with Miles with Person 87 92 Octane Octane 1 234 237 2 257 238 243 229 4 215 224 5 114 119 287 297 7 315 351 8. 229 241 9 192 186 10 204 209 11 547 562 Do the data support that different octanes produce different miles per gallon at the a = 0.02 level of significance? Note: A normal probability plot of difference in car mileage between Octane 87 and Octane 92 indicates the population could be normal and a boxplot indicated no outliers. a. Express the null and alternative hypotheses in symbolic form for this claim. Assume Ha = H1 - H2, where 4i is the population mean mileage for Octane 87 and lz is the mean mileage for Octane 92. Ho: Ha Select an answer H1: Ha Select an answer b. What is the significance level? a =…
A publisher of magazines for teenager's wishes to determine whether there is a relationship between the gender of a teenager and the type of the magazine that he/she prefer to read. A survey of 200 teenagers produced the following results: Gender Male Female Total Select one: a. 7.815 b. 5.991 Music 29 18 47 O c. 4.605 O d. 9.210 e. 3.841 Type of Magazine Clothes 32 25 57 Performing the Chi-squared test at a 10% level of significance to determine whether there is a relationship between the gender of the teenager and magazine preference, determine the critical value of the test. Gadgets 59 37 96 Total 120 80 200
1) a.What is/are the appropriate measure(s) of central tendency for each of the variables in Columns B-F? Explain your answers in no more than two sentences each. b. Calculate the measures of central tendencies above c. Imagine that a 21st run is added to your dataset. See the table below for its data Run Eth. Gly. Acid. Temp pH 21 18.2 7.2 2.1 18 4.2 d. Do these data points change your choices of central tendency reported in Question 2b? Explain your answer. Attached dataset; a b c d e f Run Ethanol Glycerol Acidity Temp pH 1 4.8 3.5 0.84 24 3.8 2 9.6 7.3 0.27 24 3.8 3 10.2 7.2 0.27 24 3.8 4 8.5 5.1 0.55 24 3.8 5 7.3 3.2 0.68 24 3.1272 6 4.8 1.2 1.24 30 4.2 7 7.9 4.4 0.65 18 3.4 8 6.7 4.3 0.65 30 3.4 9 9.8 6.9 0.47 24 3.8 10 10.2 7.2 0.32 24 3.8 11 9.8 5.8 0.51 24 3.8 12 10.2 7.5 0.28 24 3.8 13 8.2 5.1 0.49 18 4.2 14 7.1 3.9 0.6 18 3.4 15 8.2 4.8 0.46 13.908 3.8 16 5.6 3.3…
2.2 In the following descriptions of a study, confounding is present. Describe the explanatory and confounding variable in the study and how the confounding may invalidate the conclusions of the study. Furthermore, suggest how you would change the study to eliminate the effect of the confounding variable. A hospital introduces a new screening procedure to identify patients suffering from a stroke so that a new blood clot medication can be given to the patient during the crucial period of 12 hours after stroke begins. The procedure appears to be very successful because in the first year of its implementation there is a higher rate of total recovery by the patients in comparison to the rate in the previous year for patients admitted to the hospital. A high school mathematics teacher is convinced that a new software program will improve math scores for students taking the SAT. As a method of evaluating her theory, she offers the students an opportunity to use the software on the…
Which of the following is not a cause of perfect multicollinearity? Select all that apply. One of the explanatory variables is equal to half of another explanatory variable for 100% of the observations in the sample. The correlation between two of the explanatory variables is 1.00. One of the explanatory variables is equal to half of another explanatory variable for 20% of the observations in the sample. A dummy variable for male is included at the same time as a dummy variable for non-male. One of the regressors is X and another regressor is X².
A federal regulatory agency is investigating an advertised claim that a certain device can increase the gasoline mileage of cars (mpg). Ten such devices are purchased and installed in cars belonging to the agency. Gasoline mileage for each of the cars is recorded both before and after installation. The data are recorded here. Car 1 2 3 4 5 6 7 8 9 10 n x s Before (mpg) 19.1 29.9 17.6 20.2 23.5 26.8 21.7 25.7 19.5 28.2 10 23.22 4.25 After (mpg) 25.8 23.7 28.7 25.4 32.8 19.2 29.6 22.3 25.7 20.1 10 25.33 4.25 Change (mpg) 6.7 −6.2 11.1 5.2 9.3 −7.6 7.9 −3.4 6.2 −8.1 10 2.11 7.54 (a) The cars in the study appear to have grossly different mileages before the devices were installed. Use the change data to test whether there has been a significant gain in mileage after the devices were installed. Use ? = .05. H0: ?after ?before Ha: ?after ?before t = p-value
The amounts of 6 restaurant bills and the corresponding amounts of the tips are given in the below. Assume that bill amount is the explanatory variable and tip amount the response variable. Use RStudio to find the following. Bill 52.44 88.01 49.72 64.30 70.29 106.27 Tip 7.00 10.00 5.28 7.70 10.00 16.00 (a) Compute the correlation: r= (b) Does there appear to be a significant correlation? Answer: (c) The regression equation is y^= . For parts (d) and (e): Enter your answer in dollars: $xx.xx (d) If the amount of the bill is $90, the best prediction for the amount of the tip is . (e) According to the regression equation, for every $55 increase in the bill, the tip should increase by
2. The following data was collected from 1 bag of Hershey Kisses®. Each Kiss® was weighed in grams with the wrapper and recorded in the table below. Hershey claims that there are 368 grams of chocolate in one bag. Hershey Kiss Weights in Grams 4.76 4.72 4.74 4.55 4.91 4.74 4.78 4.71 4.80 4.78 4.78 4.75 4.79 4.82 4.91 4.83 4.68 4.74 4.70 4.80 4.70 4.76 4.70 4.83 4.93 4.74 4.84 4.82 4.76 4.77 4.72 4.78 4.83 4.75 4.74 4.68 4.84 4.71 4.71 4.76 4.66 4.78 4.73 4.74 4.92 4.77 4.80 4.79 4.86 4.64 4.78 4.70 4.75 4.78 4.76 4.83 4.66 4.77 4.83 4.78 4.69 4.81 4.68 4.78 4.88 4.72 4.85 4.85 4.81 4.74 4.80 4.82 4.84 4.70 4.85 4.70 4.81 4.72 4.79 4.73 4.61 What could be some reasons for variation in the weights of the Kisses®? Note: Take time answering this one. There are lots of things to consider here and I'll be looking for a well thought out answer with several given reasons contributing to the variation. Of course, the wrappers and tags could vary but what about…
The following table contains the number of grams of water and the number of grams of carbohydrate for a 100g sample from a random selection of raw foods. Use the data to answer the following questions. Water 83.93 80.76 87.66 85.20 72.85 84.61 83.81Carbs 15.25 16.55 11.10 13.01 24.27 14.13 15.11 a) Use your calculator to find the equation of the regression line in which the x is the number of grams of water, and y is the number of grams of carbohydrates. Use correct notation, and round the slope and y-intercept to three decimal places. b) What is the best-predicted value of the number of grams of carbohydrates in a sample that contains 75g of water? Explain how you predicted the value and why that prediction is the best-predictedvalue. Give your answer in terms of the original problem. What is the best-predicted value of the number of grams of carbohydrates in a sample that contains 50g of water? Explain how you predicted the value and why that prediction is the best-predicted value.…
1.4 The following table shows the results of the tasting panel. 2 = GOOD 1 = AVERAGE 0 = BAD Judge Peanut brittle bar Chocolate marshmallow cookie Caramel/chocolate nut bar 1 2 2 1 2 2 2 1 3 2 1 4 1 2 1 5 2 1 2 Total 1.4 Give the total score of EACH desert and the most popular desert. 1.5 When we do bake, it is important that we are able to convert from big units to smaller units. Do the following measurement conversions. 300 ml to litres 500g to Kilograms 15g to milligrams 1.5.1 1.5.2 1.5.3

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