The Table below shows the average score of the150 students sampled from the University of the East Europe in the academic year 2020/2021. Score (out of l100) Number of students 40-49 19 50-59 32 60-69 49 70-79 29 80-89 21
Q: 18. The following data pertaining to the number of members in a family. Find median of the family. N...
A: Solution is given:
Q: Activity 1 The following are the age (in years) and systolic blood pressure of 20 apparently healthy...
A: Correlation are used to measure the strength of association between the two numerical variable. The ...
Q: Construct the confidence interval for the population mean u. c=0.95, x = 15.7, o = 7.0, and n= 75 A ...
A: Given problem Given that c = 0.95 x̄ = 15.7 σ = 7.0 n = 75
Q: Use the equations above to find the missing probability. 13. Event A and Event B are independent a) ...
A: 13 a) Given data,P(B)=12P(A and B)=740P(A)=? P(A and B)=P(A)*P(B) 740=P(A)*12P(A)=1440P(A)=720
Q: what should be Mark's conclusion at 4% level of significance?
A: here Mingming, Mark's cat, recently got pregnant and is expecting 6 cubs according on her doctor. M...
Q: A random variable X has a probability distribution given below. x 0 |f(x) | 0.1 | 0.3 | 0.4 0.1 ? 0....
A:
Q: (c) The marble is red or odd-numbered Your answer is : ? (d) The marble is blue and even-numbered
A: Here given A jar contains 10 red marbles numbered 1 to 10 and 12 blue marbles numbered 1 to 12. A ma...
Q: A study is undertaken to test the research hypothesis that a student’s knowledge of Thunder Bay impr...
A: The objective is to formulate the appropriate hypothesis, considering the specified population param...
Q: Find the probability of showing a 4 on both rolls.
A: here 6 sided die rolled twice so total outcomes = 6×6 = 36 and Let E be the event "the first roll i...
Q: Researchers examined the influence of a television program on children's aggressiveness. The number ...
A: 1. Assume that μ defines the true average number of aggressive responses typically performed by ch...
Q: Find the probability that when a couple has six children, at least one of them is a girl. (Assume th...
A: Given data,Couple has 6 childrenn=6The probability of getting a boy is 0.5 and getting a girl is 0.5...
Q: 1. Following data consisting missing observation (X) Commodities Po P1 А 1 10 2 В 1 5 where p and q ...
A: Solution is given:
Q: A true-false test contains 24 questions. In how many different ways can this test be completed? (Ass...
A: Given,Total no.of questions=24
Q: fllustration 12.12. Fit a trend line by the method of four yearly moving averages to the following t...
A:
Q: Transcriptional bursting is a fundamental property of genes in which transcription from DNA to mRNA ...
A:
Q: Determine the probability of drawing either a two or a ten? Write your answer as a reduced fraction....
A: here total cards in standard deck = 52 there are total 4 suit each suit contains 13 cards
Q: "The weights of 1,000 children, in average, is 62kg with standard deviation of 16kg. Suppose the wei...
A:
Q: For the following data set, how much of the variation in the outcome variable is explained by the le...
A: The table shows x and y values.
Q: Use the data to the right to complete parts (a) through (d) below. Percentage Who Won't Try Don't Ap...
A: Given that; A data set is here By using the formula of correlation coefficient (r)and regression co...
Q: Researches have conducted a survey of 2000 coffee drinkers asking how much coffee they drink in orde...
A: The chi-square test for proportion is a nonparametric test.
Q: Using table 2, find the probability that an accident victim was from Connecticut and had no restrain...
A: Let A: an accident victim was from Connecticut B: an accident victim had no restraints on. We have t...
Q: A car hire firm has two cars, which it hires out day by day. The number.of demands for a car on each...
A:
Q: A researcher surveys 50 individuals in the North Ward of Thunder Bay, and 40 in the South Ward, and ...
A: Given, n1=50 n2=407 p^1=40%=0.40 p^2=30%=0.30 α=0.10 x1=n1*p1=50*0.40=20x2=n2*p2=40*0.30=12
Q: The distribution of the number of hours people spend at work per day is unimodal and symmetric with ...
A: Solution-: Given: μ=8hours,σ=0.7hours We find, (a) If Saba’s z-score for his work hours was −1.3 , h...
Q: Let x denote the lifetime (in thousands of hours) of a certain type of fan used in diesel engines. T...
A: Given that ; X shows the lifetime (in thousands hours) of a certain type fan. The density curve of ...
Q: a. If A and B are independent, and A and B are independent, show that A and B are also independent.
A:
Q: The correlation coefficient r=0.45, is given for a sample of n=72 data points. Use the a = 0.05 colu...
A: From the given data determine whether conclude there is a correlation in the population or not.
Q: 7. Let f(x; µ, 0) be the pdf of a normally distributed random variable with parameters µ and o. (a) ...
A: PDF of normal distribution with parameter µ and σ is given by, fx;µ,σ = 1σ2πe-x-μ22σ2 ; x∈R a. Note ...
Q: P value < a/2, on a two-tailed hypothesis test would lead to rejecting H, O True O False
A: We have given that, P- value < α/2, on a two - tailed hypothesis test would lead to rejecting H...
Q: The heights of fully grown trees of a specific species are normally distributed, with a mean of 69....
A: The mean is 69.5 and the standard deviation is 6.50.
Q: Give any example of a probability distribution over x and y for a classification problem on the real...
A: Bayes Theorem If A1,A2,...An are disjoint sets whose union is the sample space 'S' and E is any even...
Q: 3. Favorite Sport Fifty: people were asked to identify their favorite sport. The responses were F = ...
A: The frequency is the count or number of times an observation occurred in the observation. The indivi...
Q: ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow t...
A: Given: an = 19, d = -2.5, a1 = 49
Q: Question 2 of 8 The following probability mass function is for the random variable X What is the val...
A:
Q: (a) Find the equation of the regression line that gives the length as a function of time. (Let t be ...
A: Here use regression formula
Q: From the data given below find : (a) the two regression equations. (b) the coefficient of correlatio...
A: A) Regression line Economics on statistics Here dependent variable y is Economics And independent ...
Q: Calculate Karl Pearson's coefficient of correlation from the following data: 100 200 300 400 500 600...
A:
Q: Calculate Karl Pearson's coefficient of skewness : Variable Frequency Variable Frequency 70-80 11 30...
A:
Q: In a group of 800 students, the number of married is 320. But of 240 students who failed, 96 belonge...
A:
Q: 9. Fungicides are used to protect seeds in wet environments. To test the effectiveness of a fungicid...
A: From the provided information, Twenty seeds were planted wherein ten seeds were treated with fungici...
Q: Determine the value of z* such that it satisfies the conditions below. (Round your answer to two dec...
A: determine the value of z* such that it satisfies the conditions given in ( a)(b)(c) and ( d)
Q: Illustration 12.25 Trend equation for yearly sales (in '000 Rs) for a commodity with year 1979 as or...
A:
Q: Calculate the Karl Pearson's coefficient of correlation of the short-term ocillations for the indice...
A:
Q: Among all the children in the playground, 95.4% are between 1.1 m and 1.7 m tall. Assuming that the ...
A: Explanation:Here given the between values and calculate the mean and standard deviation In step2 fin...
Q: a) The prime Minister of a small Caribbean Island stated that 95% of the population was vaccinated f...
A:
Q: Below are the salaries (in millions) of the Bakers basketball players and the Warners basketball pla...
A: *Answer: Solution:-(a) Make frequency distribution table for each types of data as below. (i)Bakers...
Q: Use the data to the right to complete parts (a) through (d) below. Percentage Who Won't Try Don't Ap...
A: Given data, X Y X*Y X*X 45 37 1665 2025 48 39 1872 2304 64 56 3584 4096 76 68 5168 5776
Q: Calculate Karl Pearson's coefficient of correlation from the following data: 100 200 300 400 500 600...
A: We have given that data. Karl Pearson's coefficients of correlation. r= SSXY/sqrt( SXX*SSYY)
Q: If f(x) is a pdf, then f(x) can take any value in R (i.e., f(x) can be any real number). O True Fals...
A: We have given that the statement about to the probability density function (pdf) f(x).
Q: Not everyone pays the same price for the same model of a car. The figure illustrates a normal distri...
A:
calculate the mean score of the students
identify the modal score
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- The annual energy consumption in billions of Btu for both natural gas and coal is shown for a random selection of states. 4. If 500 billion Btu of natural gas is used then what is the projected amount of coal that is used? The projected amount of coal that is used is _______billion Btu. (Round answer to THREE decimal places)Data released by the Department of Education regarding the rate (percentage) of ninth-grade students who don't graduate in a certain year showed that, out of 50 states, 13 states had an increase in the dropout rate during the past 2 years.17 states had a dropout rate of at least 30% during the past 2 years.19 states had an increase in the dropout rate and/or a dropout rate of at least 30% during the past 2 years. (a) How many states had both a dropout rate of at least 30% and an increase in the dropout rate over the 2-year period? states(b) How many states had a dropout rate that was less than 30% but that had increased over the 2-year period? statesData released by the Department of Education regarding the rate (percentage) of ninth-grade students who don't graduate in a certain year showed that, out of 50 states, 15 states had an increase in the dropout rate during the past 2 years.14 states had a dropout rate of at least 30% during the past 2 years.18 states had an increase in the dropout rate and/or a dropout rate of at least 30% during the past 2 years. (a) How many states had both a dropout rate of at least 30% and an increase in the dropout rate over the 2-year period?states(b) How many states had a dropout rate that was less than 30% but that had increased over the 2-year period?states
- 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…
