- Researchers at the Massachusetts Institute of Technology (MIT) studied the spectroscopic properties of main-belt steroids having diameters smaller than 10 kilometers. Asteroids were observed with the Hiltner telescope at MIT bservatory; the number N of independent spectral image exposures for each observation was recorded. The data for 40 steroid observations, obtained from Science (April, 9, 1993), are listed here. Number of Independent Spectral Image Exposures for 40 Asteroid Observations

- Researchers at the Massachusetts Institute of Technology (MIT) studied the spectroscopic properties of main-belt steroids having diameters smaller than 10 kilometers. Asteroids were observed with the Hiltner telescope at MIT bservatory; the number N of independent spectral image exposures for each observation was recorded. The data for 40 steroid observations, obtained from Science (April, 9, 1993), are listed here. Number of Independent Spectral Image Exposures for 40 Asteroid Observations

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Description: Please solve question 3. Please solve it step by step. 3)- Researchers at the Massachusetts Institute of Technology (MIT) studied the spectroscopic properties of main-beltasteroids having diameters smaller than 10 kilometers. Asteroids were observed

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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The Office of the University Registrar of Seoul University would like to know if the degree programs in College of Science and Math are equally preferred by students. Furthermore, the office would like to know if such degree programs are related to the gender of the students. The test claim that the proportions of the students enrolled are equal in each degree program at alpha=0.05 Using the data on the number of currently enrolled students in each gender (M of F) in each of the four degree programs, find the: a. Table showing the observed and expected values b. Chi-square critical Value c. Chi-square test statistic d. Accept or Reject the null hypothesis?
Researchers created two test sheets, each sheet showing 2020photos of the faces of dog‑owner pairs. The two sheets were equivalent with respect to breed, diversity of appearance, and gender of owners. On the first sheet the dogs were matched with their owners, while on the second sheet the dogs and owners were deliberately mismatched. Three experiments were conducted, and in all experiments, subjects were asked to "choose the set of dog‑owner pairs that resemble each other, Sheet 11or Sheet 22," and were simply told the aim of the research was a "survey on dog‑owner relationships." In the first experiment, the original sheets were shown to subjects; in the second experiment, just the mouth region of the owners was blacked out in all the pictures on both sheets; while in the third experiment, just the "eye region" of the owners was blacked out. Subjects were assigned at random to the three experimental groups, and in each experiment, the number of subjects who selected the sheet with…
An experiment was conducted to compare the effectiveness of four training programs, namely, A, B, C, and D in training assemblers of a piece of electronic equipment. Twenty employees were randomly selected and assigned to each program, that is, five employees per program. After completion of the training courses, each person was required to assemble four pieces of equipment, and the length of time (in secs) to complete the assembly was recorded. The summary of the data gathered is recorded in the table. At α=0.10, test for the hypothesis that the assembly times for people trained are the same for the four programs. A B C D x̄ 62.46 51.00 63.47 60.57 s 4.13 4.03 4.49 4.60 n 5 5 5 5 Pairwise Comparison Test 1 Given the hypotheses: H0:μ1=μ4 ; Ha:μ1≠μ4 Compute for the Tukey's q-statistic. Round off to the nearest hundredths: _________________ Given the hypotheses: H0:μ1=μ4; Ha:μ1≠μ4 What is the appropriate conclusion based on the computed q-statistic?…
An experiment was conducted to compare the effectiveness of four training programs, namely, A, B, C, and D in training assemblers of a piece of electronic equipment. Twenty employees were randomly selected and assigned to each program, that is, five employees per program. After completion of the training courses, each person was required to assemble four pieces of equipment, and the length of time (in secs) to complete the assembly was recorded. The summary of the data gathered is recorded in the table. At α=0.10, test for the hypothesis that the assembly times for people trained are the same for the four programs. A B C D x̄ 62.46 51.00 63.47 60.57 s 4.13 4.03 4.49 4.60 n 5 5 5 5 Pairwise Comparison Test 1 Given the hypotheses: H0:μ1=μ4 ; Ha:μ1≠μ4 Compute for the Tukey's q-statistic. Round off to the nearest hundredths: _________________ Given the hypotheses: H0:μ1=μ4; Ha:μ1≠μ4 What is the appropriate conclusion based on the computed q-statistic?…
An experiment was conducted to compare the effectiveness of four training programs, namely, A, B, C, and D in training assemblers of a piece of electronic equipment. Twenty employees were randomly selected and assigned to each program, that is, five employees per program. After completion of the training courses, each person was required to assemble four pieces of equipment, and the length of time (in secs) to complete the assembly was recorded. The summary of the data gathered is recorded in the table. At α=0.10, test for the hypothesis that the assembly times for people trained are the same for the four programs. A B C D x̄ 62.46 51.00 63.47 60.57 s 4.13 4.03 4.49 4.60 n 5 5 5 5 Pairwise Comparison Test 1 Given the hypotheses: H0:μ1=μ2 ; Ha:μ1≠μ2 Compute for the Tukey's q-statistic. Round off to the nearest hundredths: Pairwise Comparison Test 2 Given the hypotheses: H0:μ1=μ3 ; Ha:μ1≠μ3 Compute for the Tukey's q-statistic. Round off to the nearest hundredths:
An experiment was conducted to compare the effectiveness of four training programs, namely, A, B, C, and D in training assemblers of a piece of electronic equipment. Twenty employees were randomly selected and assigned to each program, that is, five employees per program. After completion of the training courses, each person was required to assemble four pieces of equipment, and the length of time (in secs) to complete the assembly was recorded. The summary of the data gathered is recorded in the table. At α=0.10, test for the hypothesis that the assembly times for people trained are the same for the four programs. A B C D x̄ 62.46 51.00 63.47 60.57 s 4.13 4.03 4.49 4.60 n 5 5 5 5 1. What is the null and alternative hypothesis? 2. In the decision rule: Reject H0 if Fc>F0.10,(A,B)=C .Otherwise, fail to reject H0. What is the value for df for treatments, A? What is the value for df for error, B? What is the critical value, C? 3. Decision for the ANOVA…
An experiment was conducted to compare the effectiveness of four training programs, namely, A, B, C, and D in training assemblers of a piece of electronic equipment. Twenty employees were randomly selected and assigned to each program, that is, five employees per program. After completion of the training courses, each person was required to assemble four pieces of equipment, and the length of time (in secs) to complete the assembly was recorded. The summary of the data gathered is recorded in the table. At α=0.10, test for the hypothesis that the assembly times for people trained are the same for the four programs. A B C D x̄ 62.46 51.00 63.47 60.57 s 4.13 4.03 4.49 4.60 n 5 5 5 5 Suppose it makes sense to conduct a post-hoc analysis. We will use Tukey's test to make pairwise comparisons between means. The decision rule for Tukey's test would be as follows: "Reject H0 if |qc|>q0.10,K,L=M . Otherwise, fail to reject H0." 1. What is the value for the number of…
QUESTION 2 According to the Driver and Vehicle Licensing Authority (DVLA) in 2019, 81% of the commercial drivers interviewed indicated that they have talked on their cell phones while driving. The survey conducted included drivers aged 16 to 61 years selected from 48 lorry stations in Ghana. Assume that this result holds true for the 2019 population of all such drivers in Ghana. In a recent random sample of 1600 drivers aged 16 to 61 years selected from Ghana, 83% said that they have talked on their cell phones while driving. Find the p-value to test the hypothesis that the current percentage of such drivers who have talked on their cell phones while driving is different from 81%. What is your conclusion if the significance level is 5%?
The authors of the paper “Ultrasound techniques applied to body fat mea-surement in male and female athletes” (Journal of Athletic Training [2009]: 142–147) compared two different methods for measuring body fat percentage. One method usesultrasound and the other method uses X-ray technology. The accompanying table givesbody fat percentages for 16 athletes using each of these methods (a subset of the datagiven in a graph that appeared in the paper). For purposes of this exercise, you can assume that the 16 athletes who participated in this study are representative of the pop-ulation of athletes. Do these data provide convincing evidence that the mean body fat percentage measurement differs for the two methods? Test the appropriate hypothesesusing α = 0.05.
The National Ignition Facility uses 6mm diameter pellets of deuterium (hydrogen with an extra neutron) cooled to 11 Kelvin as targets for it’s laser in an attempt to achieve nuclear fusion. Because of the massive energies involved, the targets must be constructed to a very high degree of accuracy. You sample 22 targets and their diameters are collected and stored in the data table. round.diametermm..5. 1 5.99869 2 6.00053 3 5.99925 4 6.0009 5 5.9996 6 6.00188 7 6.00187 8 6.00091 9 5.99903 10 5.99889 11 6.00037 12 5.99907 13 6.00012 14 6.00114 15 5.99867 16 5.99962 17 5.99989 18 6.00147 19 6.0017 20 6.00153 21 6.0007 22 6.0018 a) State a null an an alternate hypothesis to test the claim that the target manufacturing process isperforming to specifications.(b) Conduct a hypothesis test to with an α = 0.01 to test your hypothesis(c) What sample size would be needed to reliably, with a probability of 80% or better, detect a deviation of…
A study of the characteristics of subcarriers—telecommunication signals carried on top of one another—for underwater acoustic communications was conducted. A sub-carrier can be classified as either a data subcarrier (used for data transmissions), a pilot subcarrier (used for channel estimation and synchronization), or a null subcarrier (used for direct current and guard banks transmitting no signal). In a sample of 1,024 subcarrier signals transmitted off the coast of Martha’s Vineyard, 672 were determined to be data subcarriers, 256 pilot subcarriers, and 96 null subcarriers. Suppose a communications engineer who works near Martha’s Vineyard believes that fewer than 70% of all subcarrier signals transmitted in the area are data subcarriers. Is there evidence to support this belief? Test using a significance level of .05. Write all steps.
. A survey was conducted in respect of marital status and success in examination. Out of 2,000 persons who appeared for an examination, 80% of them were boys, and the rest were girls. Among 300 married boys 140 were successful. 1100 boys were successful among unmarried boys. In respect of 100 married girls 40 were successful, 200 unmarried girls were successful. Construct two separate nine-square tables, and find out the Yule's Coefficient of Association to discuss the association between marita! and passing of examination,