On weekdays during the academic year, the number of telephone calls at the main University call center follows a Poisson Point Process with a mean of 4 calls per minute.
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
On weekdays during the academic year, the number of telephone calls at the main University call center follows a Poisson Point Process with a
Given that the number of telephone calls at the main University call center follows a Poisson Point Process with a mean of 4 calls per minute.
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- An auto shop wants to examine the proportion of customers that have to return after an appointment. Last year, an examination of 375 customers found that 26.9% had to return after an appointment. You instituted some changes at the auto shop this year, and found from a sample of 430 customers that 33.9% had to return after an appointment. You want to conduct an analysis to determine if there has been an increase in the proportion of customers that need to return after an appointment since the past year, with a significance level of 1%. Using this information, what is the test statistic of your analysis? For the purposes of this analysis, use - Pcurrent year Plast Round any intermediate numbers to four decimal year. places and choose the closest choice to your answer. 2.575 1.03 2.15 1.64 3.30In a study comparing banks in two countries, a sample of 142 matched pairs of banks was formed. Each pair contained one bank from country x and one from country y. The pairings were made in such a way that the two members were as similar as possible in regard to such factors as size and age. The ratio of total loans outstanding to total assets was calculated for each of the banks. For this ratio, the sample mean difference (country x - country y) was 0.0579, and the sample standard deviation of the differences was 0.3086. Test, against a two-sided alternative, the null hypothesis that the two population means are equal. (Assume α = 0.01.) Click the icon to view the critical values of the Student's t distribution. The test statistic is t = 2.236. (Round to three decimal places as needed.) The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.)The provided table shows the in-state undergraduate tuition in 2014 and 2018 for 33 public universities.Virginia's data was identified as an unusual observation. Remove it from the dataset before performing the following analysis.Year2014Year2018Year2014Year2018Year2014Year2018UniversityUniversityUniversityPenn State17,50218,454Ohio State10,03710,726Texas979810,606Pittsburgh17,77219,080Virginia12,99817,564Nebraska80709154Michigan13,48615,262Cal-Davis15,58914,463lowa80799267Rutgers14,29714,974Cal-Berkeley12,97214,184Colorado10,78912,532Michigan StateCal-Irvine14,75715,614Iowa State7731898813,81314,460Purdue10,0029992North Carolina83468987Maryland942710,595Illinois15,02015,094Cal-San Diego13,45614.199Kansas10,44811,148Minnesota13,62614,693Oregon991811.898Arizona10,95712,487Missouri11,02112,055Wisconsin10,41010,555Florida63136381Buffalo887110,099Washington12,39411,517Georgia Tech11,39412,424Indiana10,38810,681UCLA13,02913,774Texas A&M917910,968Click to download the data in your…
- Which set of data would probably show a strong positive linear correlation? a) the number of defective light bulbs produced and the time of the day when they were manufactured b) marks on a history test and the heights of the students c) the colour of cars sold and the annual income of the car buyers d) the height of corn in a field and the amount of precipitation during the growing seasonThe 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?The Dominion Landing theme park has a new water ride,the Raging Rapids. The ride holds 36 people in boat-carsand it takes 4.1 minutes to complete the ride circuit. It alsotakes the ride attendants another 3.5 minutes (with virtually no variation) to load and unload passengers. Passengers arrive at the ride during peak park hours at the rate of4.4 per minute (Poisson distributed). Determine the lengthof the waiting line for the ride.
- In how many ways can we pass out 5 pieces of identical candy to 11 children assuming each child gets at most one piece? Enter your answer in the box below. Answer =An online instructor wants to estimate the mean amount of time that students spend in the online homework system on a particular homework assignment. The instructor takes a random sample of 30 students and looks up the amount of time recorded by the system for that assignment.A statistics content developer at Aplia wanted to know whether study skills are related to memory quality. She invited student volunteers to perform an online memory task. The students saw a list of 60 words and were then asked to recognize a list of 10 words that were on the original list. Students were also asked to provide their GPAs. Consider the following data set, which was collected from student volunteers in 2009. The table gives the frequency for five intervals of scores on the number of correctly identified words. Use the dropdown menus to complete the table by filling in the missing values for the proportions and percentages. Score Interval f Proportion Percentage 9–10 29 0.19 19% 7–8 53 5–6 50 3–4 22 0.14 14% 1–2 1 0.01 1%
- The plant-breeding department at a major university developed a new hybrid boysenberry plant called Stumptown Berry. Based on research data, the claim is made that from the time shoots are planted 90 days on average are required to obtain the first berry. A corporation that is interested in marketing the product, tests 60 shoots by planting them and recording the number of days before each plant produces its first berry. The sample mean is 92.3 days. The corporation will not market the product if the mean number of days is more than the 90 days claimed. The hypotheses are: H0:μ = 90 H1:μ > 90 What is a type I error in the context of this problemAt a local food processing plant, it used to take an average of 90 minutes for new workers to learn a food processing job. Recently the company installed a new food processing machine. The supervisor at the company wants to find if the mean time taken by new workers to learn the food processing procedure on this new machine is different from 90 minutes. A sample of 20 workers showed that it took, on average, 85 minutes for them to learn the food processing procedure on the new machine. It is known that the learning times for all new workers are normally distributed with a population standard deviation of 7 minutes. Use a significance level of 0.01 to test the claim that the mean time is different from 90 minutes. What is the decision? A) Reject Ho because the test statistic is in the critical region and the p-value is greater than the significance level. B) Reject Ho because the test statistic is not in the critical region and the p-value is greater than the significance level.…At a local food processing plant, it used to take an average of 90 minutes for new workers to learn a food processing job. Recently the company installed a new food processing machine. The supervisor at the company wants to find if the mean time taken by new workers to learn the food processing procedure on this new machine is different from 90 minutes. A sample of 20 workers showed that it took, on average, 85 minutes for them to learn the food processing procedure on the new machine. It is known that the learning times for all new workers are normally distributed with a population standard deviation of 7 minutes. Use a significance level of 0.01 to test the claim that the mean time is different from 90 minutes. What is the test statistic? A) -7.01 B) -2.539 C) -3.19 D) -2.528 E) -1.96