6. In a large manufacturing company every item produced is inspected for defects and will go through arepair process if there are serious defects. Management wanted to investigate whether itemsproduced on Mondays are more likely to require repairing than items produced on the midweek dayWednesday. A random sample of 9 weeks from the past 5 years was taken and the number of itemswhich required repairing for the 9 weeks are shown in the table below.More Repairing Signed Rank ofon MondayWeekMondayWednesdayDifference|Difference|A1718-1NO-1B1417-3NO-2C19127YES6.D21174YES3E1813YESF19109YESG24420YESH25178YESI22166YES(a) A boxplot of the differences in number of items which required repairing on Monday andWednesday for the 9 sampled weeks is shown below.米+++++十十+++-4-2248.1012 1416 18 20Differences Explain why management determined that the matched pair t-test ofHo: µ difference = 0Ha: H difference >0(where u difference is the mean of the differences in the number of produced items which requiredrepairing on Monday and on Wednesday for all weeks in the past 5 years) was not appropriateafter seeing the boxplot of the differences.A different possible set of hypotheses for this investigation could beHọ: p = 0.5Hai p> 0.5where p is the proportion of weeks where Monday had more produced items which requiredrepairing than Wednesday.(b) Explain why the one-sample proportion z-test would not be appropriate for these data.A sign test of the hypothesesНо: р 3 0.5На: р> 0.5can be used when the one-sample proportion z-test is not appropriate. The test statistic for the signtest is X= the number of weeks of the 9 sampled weeks where more items required repairing onMonday than Wednesday.(c) Assuming that the null hypothesis is true (that Mondays and Wednesdays are equally likely tohave the most produced items which require repairing), calculate the p-value P(X 27) and usethis p-value to provide the conclusion of the sign test for a significance level of a = 0.05.A signed rank test uses both the ranks of the absolute value of the differences and the signs of thedifferences to test the hypothesesHọ: The distributions of the numbers of items which require repairing for Mondays andWednesday are the same.Hạ: The distribution of the numbers of items which require repairing for Mondays is shifted tothe right of the distribution of the number of items which require repairing on Wednesdays.The test statistic for the signed rank test is the sum of the positive ranks.(d) Calculate the test statistic for the signed rank test by completing the signed rank of differencecolumn in the table at the beginning of the problem and then adding up the positive ranks.Under the assumption that the null hypothesis of the distributions of the numbers of items requiringrepairing for Mondays and Wednesday are the same, 1000 simulations were performed and thesigned rank test statistic was calculated for each simulation. The frequency table below provide thefrequencies for these 1000 simulated signed rank test statistics.01|2 33 4 | 5 8 | 15Sign Rank Statistic Values440 41 42 43 | 44 45Frequency217 | 10 | 6| 431(e) Based on the value of the signed rank test statistic calcułated in part (d) and the distribution ofthe 1000 simulated signed rank test statistics above, what should be the conclusion for themanufacturing company for comparing the number of items requiring repairing on Mondays andWednesdays?

Note: Since you have posted a question with multiple subparts, we will solve the first three…

6. In a large manufacturing company every item produced is inspected for defects and will go through a repair process if there are serious defects. Management wanted to investigate whether items produced on Mondays are more likely to require repairing than items produced on the midweek day Wednesday. A random sample of 9 weeks from the past 5 years was taken and the number of items which required repairing for the 9 weeks are shown in the table below. More Repairing Signed Rank of on Monday Week Monday Wednesday Difference |Difference| A 17 18 -1 NO -1 14 17 -3 NO -2 19 12 7 YES 6. D 21 17 4 YES 3 E 18 13 YES F 19 10 YES G 24 4 20 YES H 25 17 8. YES I 22 16 6. YES (a) A boxplot of the differences in number of items which required repairing on Monday and Wednesday for the 9 sampled weeks is shown below. 米 ++ ++ ++++ -4 -2 2 4 10 12 14 16 18 20 Differences

6. In a large manufacturing company every item produced is inspected for defects and will go through a repair process if there are serious defects. Management wanted to investigate whether items produced on Mondays are more likely to require repairing than items produced on the midweek day Wednesday. A random sample of 9 weeks from the past 5 years was taken and the number of items which required repairing for the 9 weeks are shown in the table below. More Repairing Signed Rank of on Monday Week Monday Wednesday Difference |Difference| A 17 18 -1 NO -1 14 17 -3 NO -2 19 12 7 YES 6. D 21 17 4 YES 3 E 18 13 YES F 19 10 YES G 24 4 20 YES H 25 17 8. YES I 22 16 6. YES (a) A boxplot of the differences in number of items which required repairing on Monday and Wednesday for the 9 sampled weeks is shown below. 米 ++ ++ ++++ -4 -2 2 4 10 12 14 16 18 20 Differences

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: What is the overall mean? What is the mean of Drug 1? What is the mean of Drug 2? What is the mean…

A: Here use sample mean formula

Q: we predict that children exhibit more aggressive acts after watching a vilent television show. The…

A: Provided information is, it is predicted that: children exhibit more aggressive acts after watching…

Q: What is the variance of a set of 6 numbers: 1, 2, 3, 4, 5, 6?

A: The variance is calculated as the average of the squared differences of each number from the mean.

Q: Corn crop is often prone to contracting a disease called leaf blight from a type of fungus. This…

A: Given that X Frequency 0 8 1 22 2 31 3 20 4 4 5 13 6 2

Q: 1. What are the relative strengths and weaknesses of using range as a measure of variability?

A: To discuss: What are the relative strengths and weaknesses of using range as a measure of…

Q: Approximately 1.55 percent of people ages 40-50 have breast cancer.* Suppose a person has a 86…

A: Probability is a chance of occurrence of any event.

Q: A survey by a magazine stated that 14% of men said they used exercise to reduce stress. A random…

A: from the above datawe are given thatp=0.14n=100x=10p^=xnp^=10100p^=0.10Test…

Q: 7 Below is a histogram showing the total compensation for the 100 best paid presidents of public…

A: From histogram, We have to calculate Mean, median and mode Mid point= (lower class + upper class)…

Q: Lecture(12.13): Researchers were investigating anxiety in first year college students.According to…

A: Given information: Going for a walk/ doing physical activity Listening to music/ watching a…

Q: A study conducted by Columbia University compared the cognitive ability of stroke patients three…

Q: 3.How do you know if 2 sets of data is pooled? Group of answer choices If the variances are not…

A: If the variances of the 2 sets are equal then we say that the data is pooled. When we believe that…

Q: the variance of a data set is 144 and mean is 72 then coefficient of variance is

A: Given,variance(σ2)=144mean(x¯)=72

Q: Medical researchers want to know if Tylenol, Advil, Ibuprofen, and Aleve different medications lead…

A: Researchers use one-way ANOVA to address research hypotheses related to difference.

Q: Due to recent trends in the childcare industry, the firm suspects that the that the mean annual…

A: Solution: Given information: n1=20 Sample size of Illinoisn2= 20 Sample size of…

Q: How do I examine whether there is evidence that, in the population from which the respondents were…

A: Given information: The statement is given related to checking the significance of the mean. Find:…

Q: Twelve professional gamers were asked their age (in years) when they first began playing their game…

A: Formula for sample mean is as follows, x¯ = Sum of all observations Total number of observations

Q: The personality characteristics of business leaders (e.g., CEOs) are related to the operations of…

A: Type of test : Two tailed Test

Q: A researcher is running a study to determine the proportion of men that wear neckties to work. To…

A: Since, we answer only first three sub-parts of a question, we will answer the first three. Please re…

Q: The following data lists the ages of a random selection of actresses when they won an award in the…

A: The data shows the ages of a random selection of actresses when they won an award in the category of…

Q: You are hired to study the statistical relationship between the number of trees and the number of…

A: From the above given data the following solution is provided below

Q: The administrators of a Faculty A were interested to understand personal characteristics of their…

A: Solution : 1. 1. Population : Population is a collection of observations from all living or…

Q: 2). What is the major problem with using the Range as the measure of variability?

A: Range is measure of variability

Q: Question 2. Crescent Oil has developed three new blends of gasoline and must decide which blend or…

A: TreatmentsBlock 1Block 2Block 3Block 4Block 5TotalBlend X3130293326149Blend Y3029293125144Blend…

Q: Blank are more representative of a population, but blank are easier to obtain

A: The sample is a set of units that is obtained from a population, which represents the population.…

Q: A researcher believes there is a difference in the mean number of days before visible results begin…

A: let's set up the null hypothesis and alternative hypothesis null hypothesis: there is no difference…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

6. In a large manufacturing company every item produced is inspected for defects and will go through a
repair process if there are serious defects. Management wanted to investigate whether items
produced on Mondays are more likely to require repairing than items produced on the midweek day
Wednesday. A random sample of 9 weeks from the past 5 years was taken and the number of items
which required repairing for the 9 weeks are shown in the table below.
More Repairing Signed Rank of
on Monday
Week
Monday
Wednesday
Difference
|Difference|
A
17
18
-1
NO
-1
B
14
17
-3
NO
-2
C
19
12
7
YES
6.
D
21
17
4
YES
3
E
18
13
YES
F
19
10
9
YES
G
24
4
20
YES
H
25
17
8
YES
I
22
16
6
YES
(a) A boxplot of the differences in number of items which required repairing on Monday and
Wednesday for the 9 sampled weeks is shown below.
米
++
+++
十十+
++
-4
-2
2
4
8.
10
12 14
16 18 20
Differences

Explain why management determined that the matched pair t-test of
Ho: µ difference = 0
Ha: H difference >0
(where u difference is the mean of the differences in the number of produced items which required
repairing on Monday and on Wednesday for all weeks in the past 5 years) was not appropriate
after seeing the boxplot of the differences.
A different possible set of hypotheses for this investigation could be
Họ: p = 0.5
Hai p> 0.5
where p is the proportion of weeks where Monday had more produced items which required
repairing than Wednesday.
(b) Explain why the one-sample proportion z-test would not be appropriate for these data.
A sign test of the hypotheses
Но: р 3 0.5
На: р> 0.5
can be used when the one-sample proportion z-test is not appropriate. The test statistic for the sign
test is X= the number of weeks of the 9 sampled weeks where more items required repairing on
Monday than Wednesday.
(c) Assuming that the null hypothesis is true (that Mondays and Wednesdays are equally likely to
have the most produced items which require repairing), calculate the p-value P(X 27) and use
this p-value to provide the conclusion of the sign test for a significance level of a = 0.05.
A signed rank test uses both the ranks of the absolute value of the differences and the signs of the
differences to test the hypotheses
Họ: The distributions of the numbers of items which require repairing for Mondays and
Wednesday are the same.
Hạ: The distribution of the numbers of items which require repairing for Mondays is shifted to
the right of the distribution of the number of items which require repairing on Wednesdays.
The test statistic for the signed rank test is the sum of the positive ranks.
(d) Calculate the test statistic for the signed rank test by completing the signed rank of difference
column in the table at the beginning of the problem and then adding up the positive ranks.
Under the assumption that the null hypothesis of the distributions of the numbers of items requiring
repairing for Mondays and Wednesday are the same, 1000 simulations were performed and the
signed rank test statistic was calculated for each simulation. The frequency table below provide the
frequencies for these 1000 simulated signed rank test statistics.
01|2 3
3 4 | 5 8 | 15
Sign Rank Statistic Values
4
40 41 42 43 | 44 45
Frequency
2
17 | 10 | 6| 4
3
1
(e) Based on the value of the signed rank test statistic calcułated in part (d) and the distribution of
the 1000 simulated signed rank test statistics above, what should be the conclusion for the
manufacturing company for comparing the number of items requiring repairing on Mondays and
Wednesdays?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

2. Metal Tags on Penguins and Survival. Data were collected over a 10-year timespan from a sample of 100 penguins that were randomly given either metal or electronic tags. One variable examined is the survival rate 10 years after tagging. The scientists observed that 10 of the 50 metal tagged penguins survived, compared to 18 of the 50 electronic tagged penguins. Test whether the survival rate is lower among metal- tagged penguins than among electronic-tagged penguins. Use subscripts E for Electronic and M for Metal. a. State hypotheses. b. Calculate the sample statistic PE - PM c. Use Normal distribution methods to calculate a z-test statistic, given SE = 0.0898. d. Find the p-value and draw a Normal curve with z-statistic and appropriate shaded region. Normal curve: p-value: e. State the conclusion of the test in context, using nontechnical language. f. Find a 90% confidence interval to three decimal places for this difference in proportions, given SE= 0.08836. Show your…
b) If each observation is given by the overall mean + product effect + residual, find the residuals for all above observations and write them in a table. Product effect for each observation is: the group mean - the overall mean So, the product effect is the same for all observations in a group (e.g., A). (Hint: you can use Microsoft Excel, R or SPSS for this)
Students in a statistics class were asked, “About how many minutes do you typically exercise in aweek?” Responses from the men in the class were “180, 300, 60, 480, 0, 90, 300, 14, 600, 360, 120, 0,240”(a) Create a five-number summary of the men’s responses.(b) Identify any potential outliers.
24. A sports medicine major wanted to conduct an experiment to determine if there is a correlation between the members of the soccer team's leg strength and the time it takes for them to sprint 40 yards. He sets up the following test and records the data: Every day for a week, he counts how mnany times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The table shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fir? How many seconds should he expect a player to take to run -0 yards if that player can do 22 leg-press repetitions Round any values to the nearest tenth, if necessary Leg Press (reps) 32 7 11 23 28 15 12 40-vard Dash (s) S.6 14.6 7.1 S.3 11 9 13 4 9.5 53°F a
A cardiologist is interested in the mean recovery time of her patients who have had heart attacks. Suppose the cardiologist has a total of 52 patients and among those, 30 patients have had heart attacks. The study records 10 patients' recovery times, what is the sample size? 10 None of the above 52 3
Restaurant Bill by GenderA study compared the cost of restaurant meals when people pay individually versus splitting the bill as a group. In the experiment half of the people were told they would each be responsible for individual meals costs and the other half were told the cost would be split equally among the six people at the table. In the study, the diners were also chosen so that half the people at each table were female and half were male. We can test for a difference in mean meal cost between females (n1=24, x¯1=44.46, s¯1=15.48) and males (n2=24, x¯2=43.75, s2=14.81).Let group 1 and group 2 be the meal costs for females and males, respectively. state the null and alternative hypotheses calculate the relevant test statistic find the p-value
A person is interested in studying the amount of time (in minutes ) people spend on social media in a day. The following data is collected from a sample of 12 people : 45, 60,25,55,75,90,100,120,105,80, 0 and 220. Does the data contain outlier(s)? Explain your reasoning. ( use empirical rule and use the quartile method to check ).
A doctor in Oklahoma City wants to know whether the average life span for heart disease patients at four hospitals in the city differ. The data below represents the life span, in years, of heart disease patients from each hospital. Perform an ANOVA test with a 10% level of significance to test whether the average life span of heart disease patients in Oklahoma City differs depending on the hospital that treats them Life Span of Patients Treated at Hospital 1: 8.1, 1.2, 7, 11.5, 21, 2, 15.3, 19.2, 10.5, 15.4, 12.7, 15.3, 12.1, 7.5, 11.4, 16.4, 26.7, 14.6, 1.5, 16.3, 12.6, 0.8, 18.2, 4.2, 9.6, 21, 16.3, 2.7 Life Span of Patients Treated at Hospital 2: 17.6, 11.6, 16.8, 5.2, 6.7, 3.2, 13.8, 12.5, 0.9, 6, 14.3, 1.8, 14.8, 10, 5.8, 15.2, 10, 3.7, 11.4, 21.6, 12.9, 0.5, 9.2, 13.9, 10.9 ▼ Part 1 of 4 Life Span of Patients Treated at Hospital 3: 8.5, 2.3, 11, 7.4, 14.8, 5.8, 11, 3.4, 10.9, 1.1, 5.9, 21.6, 12.5, 0.1, 15.5, 15.4, 0.8, 7.7, 5.6, 12, 7.1 Life Span of Patients Treated at Hospital…
Suppose that Kim is a participant in a study that compares several coaching methods to see how they affect math Scholar Aptitude Test (SAT) scores. The grand mean of math SAT scores for all participants (My) in the study is 550. The group that Kim participated in had a mean math SAT score of 565. Kim’s individual score on the math SAT was 610. What was the estimate residual component (of Kim’s score, that is, the part of Kim’s score that was not related to the coaching method? (Both parts of this question call for specific numerical values as answers). What was that “effect” (ai) component of Kim's score? What pattern in grouped data would make SSwithin = 0? What pattern within data would make SSbetween = 0?
5t. A magazine reports that women trust recommendations from a particular social networking site more than recommendations from any other social network platform. But does trust in this social networking site differ by gender? The following sample data show the number of women and men who stated in a recent sample that they trust recommendations made on this particular social networking site. Women Men Sample 150 170 Trust RecommendationsMade on the social networking site 111 102 (a) What is the point estimate of the proportion of women who trust recommendations made on this particular social networking site? (b) What is the point estimate of the proportion of men who trust recommendations made on this particular social networking site? (c) Provide a 95% confidence interval estimate of the difference between the proportion of women and men who trust recommendations made on this particular social networking site. (Round your answers to four decimal places.)
The personality characteristics of business leaders (e.g., CEOS) are related to the operations of the businesses that they lead (Oreg & Berson, 2018). Traits like openness to experience are related to positive financial outcomes and other traits are related to negative financial outcomes for their businesses. Suppose that a board of directors is interested in evaluating the personality of their leadership. Among a sample of n = 16 managers, the sample mean of the openness to experiences dimension of personality was M = 4.50. Assuming that u = 4.24 and o = 1.05 (Cobb-Clark & Schurer, 2012), use a two-tailed hypothesis test with a = .05 to test the hypothesis that this company's business leaders' openness to experience is different from the population. Standard Normal Distribution Mean - 0.0 Standard Deviation 1.0 .7198 .1401 .1401 -3.0 -2.0 -1.0 0.0 1.0 2.0 3.0 -1.08 1.08 Step 1. Ho: ; H;: a = .05. Step 2. The critical region consists of Step 3. For these data the standard error is and…
if a study determines the difference in average salary for subpopulations of people with blue eyes and people with brown eyes is not significant then the populations are blue-eyed people and brown-eyed people are what different salaries