The table below shows the number of ATM customer arrivals per minute in 60 randomly chosen minutes. Research question: At a =.025, can you reject the hypothesis that the number of arrivals per minute follows a Poisson process?Ө000100734130300012TS2181010 0 2 501 113 2 1 00©20104121211000223213123101212020321Click here for the Excel Data File(a) The hypothesis for the given issue is H₂: The number of arrivals per minute follows a Poisson process.YesNo(b) Calculate the chi-square test statistic, degrees of freedom and the p-value.Note: Round your test statistic value to 3 decimal places and the p-value to 4 decimal places.Answer is complete but not entirely correct.Test statisticDegrees of freedomp-value5.152 x20.0760

Let's provide the correct solution based on the degrees of freedom being 2:1. State the Hypotheses-…

Answered: The table below shows the number of ATM…

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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The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table below. At a=0.10, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 10.4 8.2 8.8 12.6 13.1 6.1 9.90 11.3 (a) Write the claim mathematically and identify Ho and Ha Which of the following correctly states Ho and H₂? Ο Α. Ho: με 11.0 H₂>11.0 O D. Ho: 11.0 H: ≤11.0 A O A. Fail to reject Ho because the P-value is greater than the significance level. OB. Reject H, because the P-value is greater than the significance level. OC. Reject Ho because the P-value is less than the significance level. OD. Fail to reject Ho because the P-value is less than the significance level. (d) Interpret the decision in the context of the original claim. O A.…
A random sample of communities in western Kansas gave the following information for people under 25 years of age.
An engineer has built a simulation model of a small factory, run an experiment with the model using 15 replicates, and determined at 90% confidence that the mean time an entity spends in the system is in the range of 24 min to 28 min. The data are normally distributed. Based on this information, what can the engineer say about entity time-in-system?A -The population mean time-in-system must be in the interval 24 min to 28 min. B- The largest mean time-in-system for any one of the 15 replicates was 28 min. C- If the engineer were to run a 16th replicate, the mean time-in-system would be in the interval 24 min to 28 min. D. The probability that the population mean time-in-system is greater than 28 min can be estimated as 5%.
A deck has "b" black cards and "y" yellow cards. Given that cards are drawn at a random fashion without replacement. Find the average where after drawing a black card it is immediately followed by a yellow card
Recall that Benford's Law clalms that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a v leading digit is about 0.301. Now suppose you are the auditor for a very large corporation. The revenue file contains millons of numbers in a large computer data bank. You draw a random sample of n = 229 numbers from this file and r 85 have a first nonzero digit of 1. Let p represent the population proportion of all numbers in the computer file that have a leading digit of 1. large data file, the probability of getting a number with "1" as the () Test the dalm that p is more than 0.301. Use a 0.10. (a) what is the level of signifcance? State the null and alternate hypotheses. O Hg: p = 0.301; H p> 0.301 O Hgi P = 0.301; Hip 0.301; Hp- 0.301 O Ho: P= 0.301; H: p- 0.301 (b) what sampling distribution will you use? O The Student's t, since np > 5 and ng > 5. O The…
The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table below. At a = 0.01, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 12.1 8.9 11.8 8.4 7.2 10.1 12.1 8.7
Consider that we are interested in computing the time weighted average number of cars parked in the parking garage on a Sunday in December. We start at midnight and collect the entry and exit times of cars in the garage until the following midnight as follows. Entry 12:45:00 AM Entry 1:00:00 AM Entry 3:30:00 AM Exit 5:15:00 AM Entry 7:00:00 AM Entry 8:15:00 AM Exit 8:45:00 AM Entry 10:00:00 AM Exit 10:30:00 AM Entry 2:30:00 PM Exit 4:15:00 PM Entry 6:00:00 PM Exit 7:45:00 PM Entry 9:30:00 PM Exit 11:15:00 PM What was the time weight average number of cars parked in the parking garage on that Sunday?
a Random sample of n1 equals 16 communities in western Kansas gave the following information for people under 25 years of age. x1 :Rate of hayfever per 1000 population for people under 25 115 113 111 111 151 112 111 120 109 123 121 121 124 115 108 122 A random sample of n2 = 14 regions in western Kansas gave the following information for people over 50 years old. 107 107 100 99 102 105 98 81 104 104 110 97 117 97 Summer hayfever rate in each age group has an approximately normal distribution. Do these data indicate that the age group over 50 has a lower rate of a fever? What is the no hypothesis and alternate hypothesis? Is this a right tail left held or two tailed test?
A research center claims that 25% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 700 adults in that country, 27% say that they would travel into space on a commercial flight if they could afford it. At a = 0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. INU TIIUIE uIOan 0 UI auuiS I uIE UUUU y vwuuIu uavci IU apauc Un a uUITIIGI LIaI Iyntrncy couIu anuIu I. O D. At least % of adults in the country would travel into space on a commercial flight if they could afford it. Let p be the population proportion of successes, where a success is an adult in the country who would travel into space on a commercial flight if they could afford it. State H, and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Ho: p O B. Ha: ps OC. Ho: p> Hai p= Hai p> Ha: ps O D. Ho: pe O E. Hg:…
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A random sample of n, 16 communities in western Kansas gave the following information for people under 25 years of age. x Rate of hay fever per 1000 population for people under 25 99 92 122 129 91 123 112 93 125 95 125 117 97 122 127 88 A random sample of n, 14 regions in western Kansas gave the following information for people over 50 years old. X3i Rate of hay fever per 1000 population for people over 50 97 108 102 9s 110 88 110 79 115 100 89 114 85 96 A USE SALT (1) Use a calculator to calculate XS Kg, and sa: (Round your answers to four decimal places.) (H) Assume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group over 50 has a lower rate of hay fever? Use a 0.05. (a) What is the level of significance?
A random sample of 160 car crashes are selected and categorized by age. The results are listed below. The age distribution of drivers for the given categories is 18% for the under 26 group, 39% for the 26-45 group, 31% for the 45-65 group, and 12% for the group over 65. Calculate the chi-square test statistic χ2 to test the claim that all ages have crash rates proportional to their driving rates. Age Under 26 26 – 45 46 – 65 Over 65 Drivers 66 39 25 30

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