Answered: study on a certain type of machine, the…

study on a certain type of machine, the number of electronic components with standard reliability values was found to be evenly distributed between 10 and 35. Compute the average

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...

See similar textbooks

Similar questions

6.34 Barking deer. Microhabitat factors associated with forage and bed sites of barking deer in Hainan Island, China were examined. In this region woods make up 4.8% of the land, cultivated grass plot makes up 14.7%, and deciduous forests make up 39.6%. Of the 426 sites where the deer forage, 4 were categorized as woods, 16 as cultivated grassplot, and 61 as deciduous forests. The table below summarizes these data.39 Woods Cultivated grassplot Deciduous forests Other Total 4 16 61 345 426 (a) Write the hypotheses for testing if barking deer prefer to forage in cer- tain habitats over others. (b) What type of test can we use to answer this research question? (c) Check if the assumptions and conditions required for this test are sat- isfied. (d) Do these data provide convincing evidence that barking deer prefer to forage in certain habitats over others? Conduct an appropriate hypoth- esis test to answer this research question. Photo by Shrikant Rao (http://flic.kr/p/4Xjdkk) CC BY 2.0…
In physiology, an objective measure of aerobic fitness is how efficiently the body can absorb and use oxygen (oxygen consumption). A physiologist, Dr. Castillejo, conducted a research wherein subjects participated in a predetermined exercise run of 1.5 miles. Measurements of oxygen consumption as well as several other variables such as age, gender, runtime, resting and maximum pulse rates, and weight were recorded from 50 randomly selected gym members. Dr. Castillejo is interested in determining whether any of these other variables can help predict oxygen consumption. She believes that a possible link between these factors will help her determine how to improve the health of her gym members. Help Dr. Castillejo in developing a proposal for the improvement of her gym members' health condition. The variables are described below. gender- either male or female runtime-time to run 1.5 miles (in min) age age of the gym member in years weight weight of the gym member (in kg) oxygen…
Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a nutritionist analyzed the percentage of saturated fat for a sample of 6 brands of stick margarine (solid fat) and for a sample of 6 brands of liquid margarine and obtained the following results: Stick:[25.5,26.7,26.5,26.6,26.3,26.4] Liquid:[16.5,17.1,17.5,17.3,17.2,16.7] We want to determine if there a significant difference in the average amount of saturated fat in solid and liquid fats. What is the test statistic? a) z = 39.604 b) t = 25.263 c) t = 39.604 d) z = 39.104 e) t = 39.104
An army that overhauls ground mobile radar systems is interested in improving its processes. One problem involves troubleshooting a particular component that has a high failure rate after it has been repaired and reinstalled in the system. The shop floor supervisor believes that having standard work procedures in place will reduce the time required for troubleshooting this component. Time (in minutes) required troubleshooting this component without and with the standard work procedure is recorded for a sample of 19 employess. In order to determine if having a standard work procedure in place reduces troubleshooting time, they should use: a test of two proportions a two-tailed test of two independent means. a one-tailed test of two indepedent means. a two-tailed paired t-test. a one-tailed paired t-test
A local nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost-estimating purposes, managers use 2.2 hours of labor time for planting of a medium-sized tree. A random sample of 36 tree plantings is selected and the planting times are recorded. The average planting time for the sample of 36 planting is 2.7 hours with a standard deviation of .9 hours. The researcher wants to test if the average planting time is significantly greater than 2.2 hours based on the data that was collected. Họ: H= 2.2 H1: u> 2.2 What is the value of the Test Statistic for this hypothesis test? Round Z to the 100ths place.
A state fisheries commission wants to estimate the number of bass caught in a given lake during a season in order to restock the lake with the appropriate number of young fish. The commission could get a fairly accurate assessment of the seasonal catch by extensive “netting sweeps" of the lake before and after a season, but this technique is much too expensive to be done routinely. Therefore, the commission samples a number of lakes and record the seasonal catch (thousands of bass per square mile of lake area) and size of lake (square miles). A simple linear regression was performed and the following R output obtained. Estimate Std. Error t value Pr(>|t|) (Intercept) 2.5463 0.4427 5.7513 0.0000 size 0.0667 0.3672 0.1818 0.8578 If a scatterplot showed a non-linear relationship between the response and explanatory variables, what should be done? O Nothing. Continue the analysis as is. Stop the analysis. Perform a natural log transformation on the response variable first. O Perform a…
In a population-based cohort study, an entire community was interviewed regarding smoking habits and then followed for one year. Upon ascertainment of all lung cancer deaths, the investigator obtained the following data: Number of Individuals Lung Cancer Deaths Smokers 24,500 15 Nonsmokers 10,500 2 Calculate the risk difference per 100,000 per year. Round to the tenth decima
The traffic pattern is being analyzed for traffic going into Myrtle Beach on 501. The intersection of US-501 and US-17 Bypass was designed such that 50% of the traffic would continue straight on 501, 30% would go north on 17 Bypass, and 20% would go south on 17 Bypass. Since then, there has been a significant amount of commercial growth around the intersection that may have impacted the traffic flow. A sample of 600 cars is to be reviewed to see if the traffic has significantly changed using the chi-square test. How many cars do you expect to go straight on US-501?
A local bank has two branches in a cty: one in the business center of the city and another-in a residential area. The bank's operations manager wants to Improve front-office employee scheduling during the lunch hour (12:00-13:00) period. The manager starts with studying the customer walting times at the two branches and collects data for two groups of 35 customers at each branch. Customers at the business-center branch walted on average 3.8 minutes, whle those at the residential branch waited 4.4 minutes on average, Assume that the population standard deviations are 1.8 (business-center branch) and 2.5 tresidential branch). a. Considering the real-ife problem, determine the point estimate of the unknown quantity that needs to be estimated. (Round to two decimal places.) b. Determine the critical value needed to compute a Bs confidence interval (Round to two decimal places.) c. Compute the confidence interval the operations manager would be interested in computing using the confidence…
The more costly and time-consuming it is to export and import, the more difficult it is for local companies to be competitive and to reach international markets. As part of an initial investigation exploring foreign market entry, 9 countries were selected from each of four global regions. The cost associated with importing a standardized cargo of goods by sea transport in these countries (in US$ per container) is stored in the accompanying data table. Complete parts (a) through (d). East Asia & Pacific Eastern Europe & Central Asia Latin America & Caribbean Middle East & North Africa240 77 1200 466777 335 688 397266 396 970 554383 83 290 644580 150 545 181220 306 420 646389 1125 450 695233 655 583 754392 100 1500 779 c. At the 0.05 level of significance, is there evidence of a difference in the variation in cost of importing among the four global regions? Determine…
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).