Most new car models sold in the European Union have to undergo official tests for fuel consumption. Consider a new car model: the official fuel consumption figure for the urban cycle is published as 11.8 litres of fuel per 100 km. A consumer rights organization is interested in examining whether this published figure is truly indicative of urban driving. (ii) A sample of 50 fuel consumption tests with th

Most new car models sold in the European Union have to undergo official tests for fuel consumption. Consider a new car model: the official fuel consumption figure for the urban cycle is published as 11.8 litres of fuel per 100 km. A consumer rights organization is interested in examining whether this published figure is truly indicative of urban driving. (ii) A sample of 50 fuel consumption tests with th

Name: b. Most new car models sold in the European Union have to undergo offi
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Description: b. Most new car models sold in the European Union have to undergo official tests for fuel consumption. Consider a new car model: the official fuel consumption figure for the urban cycle is published as 11.8 litres of fuel per 100 km. A consumer right

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Identify if the quantity reported is a Parameter or a Statistic 1. In a study of Filipino Airlines flights from Japan to the Philippines, 68 flights are randomly selected and the average (mean) arrival time is 9.2 minutes late. 2. A sample of 120 employees of a company is selected, and the average age is found to be 37 years. 3. In a study of 320 babies born at four different hospitals in Baguio, it was found that the average weight at birth was 3.175 kgs. 4. After interviewing all of John's employees, a researcher found that the average time the workers report late for work is 30 minutes. 5. In the same study cited in item 3, it was reported that 57% of the babies were girls. 6. The average amount of time spent in a day by Mr. John's students in their online classes is 4 hrs. and 25 minutes. 7. The average annual family income of all 210 families of a small rural town is Php127,530. 8. The average amount spent on clothing during the Enhanced Community Quarantine (ECQ) period of a…
Is the data accurate (mean = 97% of true value or 2% error) or precise (sd < 0.1)? If not, give ONE possible source of error.
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The following sample data are from a normal population: Sample size (n) = 25, Sample mean=14, Sample standard deviation=3.6 With 95% confidence, what is the margin of error for the estimation of the population mean?
Part C. Compute the sample mean and sample deviation.
The National Assessment of Educational Progress (NAEP) is a nationwide assessment of students' proficiency in nine subjects: mathematics, reading, writing, science, the arts, civics, economics, geography, and U.S. history. The main NAEP assessments are conducted annually on samples of students from grades 4, 8, and 12. Suppose in 2000, the science scores for female students had a mean of 146 with a standard deviation of 35. Assume that these scores are normally distributed with the given mean and standard deviation. The normal curve representing this distribution of the scores is symmetrical about a vertical line through . The value 41 is below the mean, and the value 251 is above the mean. The area under the curve between 41 and 251 is approximately . Similarly, 95.44% of the female students scored between and .
1. The fuel efficiency of a new model pick-up truck (truck) is measured in miles per gallon (mpg). A company claims that their new truck gets 25 mpg on average. A consumer group thinks the company is lying and claims that the mean mileage for all the trucks is less than 25 mpg. In a random sample, of forty-five of these trucks the mean mpg was 23.3 mpg with a standard deviation of 5.1 mpg. a. Conduct a hypothesis test to test the consumer group's claim at the 5% significance level. Be sure to state you Ho and Ha, your test statistic and p- value, whether or not you reject Ho and whether you support the claim. b. Write a complete sentence describing what a Type I error is in context. c. Write a complete sentence describing what a Type II error is in context.
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1. The quality of the drinking water must be monitored as often as possible. One variable of concern is the pH level, which measures the alkalinity or acidity of the water. A pH below 7.0 is acidic while a pH above 7.0 is alkaline. A pH of 7.0 is neutral. A water-treatment plant is targeting higher than 8.0 pH. Based on 16 random water samples, the mean and standard deviation were found to be: Xbar=7.6 and s = 0.4. Test the claim using 5% level of significance.a. Describe the population parameter of interest.b. Formulate the null and alternativehypothesis.c. Check the assumptions.d. Choose a significance level size for a.e. Select the appropriate test statistic. Compute the test statistic using the appropriate formula.f. Establish the critical valueg. State the decision rule for rejecting or not the null hypothesis.h. Compare the computed test statistic and the critical value/s.ANSWER ALL PLEASE ASAP I WILL UPVOTE
A fruit grower wants to test a new spray that a manufacturer claims will reduce the loss due to insect damage. She sprays 20 trees with the new spray and 20 trees with the standard spray. The following data were recorded: New Spray Standard Spray Mean yield per tree(lb) 240 227 Standard deviation 31.3 28.6 Do the data provide evidence that the new spray increases the yield per tree?
A study is done to determine if students in the California state university (CSU) system take longer to graduate, on average, than students enrolled in private universities using the significant level of 5%. One hundred students from both the California state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5811 years for CSU and 1 year for private universities. The following data are collected. The California state university system students took on average 4.5 years with a standard deviation of 0.8. The private university students took on average 4.1 years with a standard deviation of 0.3. What is the decision rule of rejecting the null hypothesis