Mathematics Questions and Answers October 01, 2020

Assume 3 in every 3000 students at the local community college have to quit due to serious health issues. An insurance company offers them $12,000 policy for $50 a year. What is the amount the insurance company should expect to make on average on every student that pays?

Evelyn keeps track of the amount of time she spends practicing her tennis serve and the number of aces she gets in her match each week. The data are shown in the table below. Which of the scatter plots below accurately records the data? Hours practicing Aces 1 2 2 4 3 7 4 8 5 9

For each question, either explain why the statement is true or give a counterexample to the statement. You must explain your reasoning. a) Let (X, Y ) be jointly distributed random variables with joint pmf p(x, y), where p(x, y) = g(x) + h(y) for some functions g and h. Then X and Y are independent. (T/F?) b) If X is a random variable, then E[X 2

10 14 18 22 26 30 34 Speed (km/hr) The percentage of players that had a top speed between 26 and 29.9 km/h was (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. View Instructor Tip Help Me Solve This Get More Help _

Problem 11 Continuing Problem 1H Say whether each of the following statements is true or false. Justify your answer. a )X(n) E(X) for all n. b) E(X(n)) E(X) for all n. c) If n is large, 20%) is likely to be equal to E(X) ) d If n is large X0\") is likely to be close to E(X)

Using excel to answer the question below: Perform a correlation analysis to see which factors are most highly correlated with cancer incidence rate (and which are correlated with each other!) Explain your findings so that a non-technical person can understand! Data:

Snipes has developed a blade modification that will making them safer to use in the home, reducing the number of deaths due to knife accidents by 1.However, it will cost $0.03 to add it to all blades sold in the United States.We will assume that there is an average of one blade per person in the U.S., for at total of 325.7 million blades. Using

Of a 5 state data set, with the numbers in thousands the MEAN for the states are: 44.2 51.9 54.9 51.4 52.8 The MEDIAN for the states are: 4.4 5.2 5.5 5.2 5.5 The MODE for the states are: 39 52 and 59 55 49 65 Identify the central tendency that is most representative of this data and justify the reasoning.

Future generations should not be forced to pay more for a decision then the current generation. True or False. Explain

Let X and Y be two random variables with joint density f (x,y) = k.x.y for 0 x y 2 , 0 y 1, where k is a constant. a) Find k. b) Find the marginal density functions f X and f Y c) Compute the covariance of X and Y

For a double sampling plan with n1= 100, n2 = 150, c1 = 1 and c2 =6,with lot size 5000. For p =0.01, Find, a. Probability of acceptance based on first sample b. Probability of final acceptance c. Probability of rejection based on 1st d. Find ATI

Question 1 (1 point) Saved The and ____ can be used as the measure of central tendency whenever the data are at the interval or ratio level but the _ _ ___ is preferred. A) mode; mean; median O B) mode; median, mean O C) mean; median, mode O D) none of the above Question 2 (1 point)

Analysis of questionnaire completed by holiday makers showed that 0.75 classified their holiday as good at Malindi.The probability of hot weather in the resort is 0.6.If the probability of regarding holiday as good given hot weather is 0.9, what is the probability that there was hot weather if a holiday maker considers his holiday good?

. Calculate Net Single Premium (NSP) & for 5 years Endowment policy from following information: Policy value Tk. 5000 Age No. of insured person No. of dead person PV of Tk 1@2% 35 36 37 38 39 30550 26354 23069 20507 18529

Is my class watching too much television on school nights?" This was a question that Mrs. Gordon wondered with respect to her seventh graders. She did a quick poll in class and found the following results:

please help The critical path in PERT/CPM is a sequence of connected nodes that lead from the Start node to the Finish node with the most probable total time. the average total time. o the shortest total time. the longest total time. None of the above

A business manager wants to split her 20 staff members in groups of 5 to send them for a project management training at a local university. She wants to know how many possible groups (of 5) she can have. 1. Explain why she needs to find the number of combinations in this case. She wants to calculate the possible number of groups of 5 by doing the

Topic: Hypothesis tests on one proportion Using the demographics data, test if the population is increasing in half of US counties at the 10% significance level. County State 2017 Population Population Increasing Poverty Percentage Homeownership Percentage Multi Unit Family Percentage Unemployment Percentage Metro Median Household Income Coffee

A Rasmussen Reports national survey of 1000 adult Americans found that 180 adults dreaded Valentine's Day. Construct a 90% confidence interval for the population proportion of adult Americans who dread Valentine's Day. Show the formula you used and all the steps in your calculation.

A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. The weight limit will be reported on cable packaging. The engineers take a random sample of 50 cables and apply weights to each of them until they break. The 50 cables have a mean breaking weight of 774.6 lb. The standard

An oil-drilling company knows that it costs $25,000 to sink a test well. If oil is hit, the income for the drilling company will be $415,000. If only natural gas is hit, the income will be $125,000. If nothing is hit, there will be no income. If the probability of hitting oil is 1/40 and if the probability of hitting gas is 1/20, what is the

in a class of 20 people,6 of them enjoy doing math.when randomly selecting 2 peoples,what is the probability that both of them enjoy math?

Solve this? Q.1 Find the optimum values of ; and k, which minimizes the mean square MSE of the 20 given estimator VRI = ( k , x + k2 ) It reduces to classical product estimator for k, = 1 and k, = 0

Assume that a procedure yields a binomial distribution with n=7 trials and a probability of success of p=0.90. Use a binomial probability table to find the probability that the number of successes x is exactly 3.

please help A time series component (pattern) that represents the variability of data due to seasonal influences with a period of one year is called Cyclical component (pattern). Seasonal component (pattern). Trend component (pattern). Irregular component (pattern). None of the above

What is a situation that someone might need to use their understanding of probability to make an informed decision? What sorts of information would they collect? How might they use what they have learned about probability to determine a course of action? What are the possible benefits and limitations of this approach?

i need help 12. Cards: Suppose you and a friend are playing cards and you are each dealt 4 cards. You have a 10, Jack, Queen, and King in your hand. You are about to be dealt one more card. What is the probability that you are dealt an Ace given that (a]* Your friend has no aces in his hand. (b) Your friend has exactly one ace in his hand

if two college professors decide to test the effect of giving daily quizzes on student performance in a statistics course. They decide that Professor A will give quizzes but Professor B will not. They will then compare the performance of students in their two sections on a common final exam. can you help me List 5 other variables that might differ

According to a survey, 60% of all students at a large university suffer from math anxiety. Two students are randomly selected from this university. Let X denote the number of students in this sample who suffer from math anxiety. Find the probability distribution of X.

The private sector has played a larger role in introducing public budgeting and accounting than government officials in academics. True False

pls answer, thx :) Directions: In a Math Test, given u = 77, and o = 14. Find the z-score value that corresponds to each of the following scores (in two decimal places): 1. X = 63 z 2. X = 112 z 3. X = 100 z 4. X = 50 z 5. X = 84 z

Listed below are measurements of the"head injury criterion" for seven small cars tested in crashes by a traffic safety organization. Higher numbers are associated with a higher risk of injury. Find themean, median, and mode of the listed numbers. Can you draw any conclusion about the risk of head injury in small cars versus largercars?

If I say two things are negatively correlated, explain (in words) what that means.

How to come up with a mean for the treatment by the design that has level A, B, C, D to the experiment which has one factor and a block?

Events A and B are mutually exclusive. Suppose event A occurs with probability 0.05 and event B occurs with probability 0.50. Given that A does not occur, what is the probability that B occurs? Round your answer to at least two decimal places. (If necessary, consult a list of formulas.) X 5

The average weight of an adult male in the US is=172=172lbs. with a standard deviation of =29=29lbs. Explain the meaning of this percentile to the male in question This male weighs [ Select ] ["less", "more"] than [ Select ] ["1.3", "9", "98.7", "91"] percent of adult men in the US.

Part 1. True / False Questions (50pts/5pts each) Read each problem carefully and circle your final answer . No partial credit will be given for the problems in Part 1. 1. [ True / False ] Assume that there are two risky assets, P and Q , and a risk-free asset F in an economy as shown below. In this economy, short sales of the risky assets and the

A researcher runs a Pearson Product Moment Correlation analysis and obtains a correlation coefficient of .4. From this, we can assume: a. There is a statistically significant relationship between the variables b. There is a positive relationship between the variables in the sample c. We cannot make any inferences from the correlation coefficient

Use the following returns to calculate Average return , Variance and Standard deviation: Returns Year 1 $600 Year 2 $700 Year 3 $500 Year 4 $650 Year 5 $800 Year 6 $600 Year 7 $700

also find unbaised mle of theta? 1/ (6-20), 20+1 0 function f(x;0)= 0 , elsewhere. a. Find the moment estimator of 0. b. Show that the moment estimator is consistent. c. Find the maximum likelihood estimator of 0

What is the Discrete Standard Deviation for the following numbers? X P(X) 0 0.54 1 0.09 2 0.14 3 0.16 4 0.07

Let X be a random variable with PDF fx(x) A3x2eA, and Y be a random variable with PDF fy(y) Aeny, Suppose that X and Y are independent.

What do moving-average smoothing and exponential smoothing have in common?: a. They both are simple to use. b. They both have no ability to adjust for trend in the data. c. All of the options are correct. d. They both require only a limited amount of data. e. They both are simple to understand.

State the null and alternative hypotheses to determine if the mean score of medical students differs from the mean score of law students. A) H0 : M - L 0 versus H1 : M - L < 0 B) H0 : M - L = 0 versus H1 : M - L 0 C) H0 : M - L 0 versus H1 : M - L > 0 D) H0 : M - L = 0 versus H1 : M - L 0

(a) What type of graph would you choose to display the data? Explain your reasoning. (b) Construct the graph from part (a). (c) Based on your data displays, does it appear that the monthly rents in Area A are higher than the rents in the other areas of the city? Explain.

TRUE or FALSE? Standard 8 of APA's Code of Ethics outlines some research situations in which informed consent is NOT required. TRUE. In some situations where there is no risk to participants, informed consent is not needed. FALSE. Researchers must always obtain informed consent from participants.

Jessica uses a poorly calibrated stopwatch to note the finish time of a relay race. She noted the time as 125 seconds, whereas the actual time taken was 120 seconds. The percent error in Jessica's calculation is O -4.2% O 4.2% O -4.0% O 4.0%

Data by Mazze et.al(1971) deal with the preoperative and postoperative creatinine clearance (ml/min) of six patients anaesthetized by halothane PATIENT 1 2 3 4 5 6 Preoperative 110 101 61 73 143 118 Postoperative 149 105 162 93 143 100 i) Why is the paired t-test preferable to the two-sample t-test in this case (1mks) ii)Carry out the paired

Given SAT scores from a normal distribution with u=500, o=100 random sample of n=25 students. What is the exact range of values expected for the sample mean 60% of the time?

Problem #4 (A) Unsatisfied with her earlier investigation, Bimble now suspects that the type of institution students attend might result in different levels of learning outcome measured in statistics courses. To examine this, Bimble gathered data on final exam scores (out of 100) from students who had taken statistics courses at Cal Poly Pomona

Present a table which shows the probability distribution and the cumulative probability distribution of the number of heads obtained when three fair coins are tossed independently. Please explain the theory first and then step by step explanations towards the answer, thanks !

The time between failures for a certain device is normally distributed with a standard deviation of 29.9 days. The manufacturer of the device would like to obtain a confidence interval estimate for the mean time between failures using the formula xz n. If the manufacturer uses 1.4 for the value ofz, what is the confidence level for theinterval?

A random sample of bolts is taken from inventory, and their lengths are measured. The average length in the sample is 5.3 inches with a standard deviation of .2 inches. The sample size was 50. A 95% confidence interval for the unknown population mean is: a. 4.784 to 5.816 inches. b. None of the options are correct. c. 4.9 to 5.7 inches. d. 5.3

Suppose X is a normal random variable with mean=40 and standard deviation= 5. Find a such that P ( X a ) =0.03. (Round your answer to one decimal place.)

Suppose random samples of size n = 40 are drawn from a population in which the proportion with a characteristic of interest is p. If p = 0.1, then the standard deviation of the distribution of p (sample proportion)

Assume you have the following results from sample data: S = 30, n = 64, and sample mean = 218. Conduct a two-tailed hypothesis test for H 0 : = 200 at the 0.05 significance level. A researcher hypothesizes that 15 percent of the people in a test-market will recall seeing a particular advertisement. In a sample of 1,200 people, 20 percent say they

5. A) The finance manager of a corporation claims that, on average, accounts payable are 175. An auditor checked a random sample of 16 of these accounts. The sample mean was 196.58 and the sample standard deviation was 36.42. Assume that the population distribution is normal. Test at the 0.05 significance level against a two-sided alternative the

a)If the decision maker knows nothing about the probabilities of the four states of nature, what is the recommended decision using the optimistic, conservative and minimax regret approaches? (15 Marks) Decision State of Nature Alternative s.2 dl 14 9 10 d2 11 10 8 d3 9 10 10 11 d4 8 10 11 13

The accounting firm of Crawford and Associates has five senior partners. Yesterday the senior partners saw eight, four, eight, four, and two clients, respectively. Determine the Mean O 6.1 O 5.7 O 5.2 O 5.0

4.Suppose a school board member asked you whether or not there were significantly more students who did not graduate than those who did graduate when the guidance services intervention plan was not provided. a.Report the chi-square test of association b.Should that school board member be really concerned about the graduation rates of those who do

Find the probability that the same fair dice will appear two rounds in a row in Backgammon. For example, {3,3} coming again after throwing {3,3}; or the probability of getting {2.5} in the second hand after the first hand {2.5}.

Using the Empirical Rule, in a normal distribution what percentage of values would fall into an interval of -12 to 60 where the mean is 24 and standard deviation is 12? Please format to 3 decimal places.

Every day, Jorge buys a lottery ticket. Each ticket has probability 0.27 of winning a prize. After 7 days, what is the probability that Jorge has won at least one prize? Write only a number as your answer. Round your answer to four decimal places (for example: 0.7319). Do not write as a percentage.

Question Help V G For a certain casino slot machine, the odds in favor of a win are given as 57 to 43. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive. The probability is D.(Round to two decimal places as needed.) Enter your answer in the answer box

Sensitivity analysis asks what happens to the output if there is a small change in the input. Consider a break-even model where the fixed cost is $650,000, units sell for $3.98, and the variable cost of a unit is $1.77. Suppose that the selling price increases by 10%. By how much do the break-even sales change? Decrease by 15.26% Decrease by

Suppose that the life of an appliance has an exponential distribution with mean 4 yrs. The warranty returns 100% of the price if the appliance fails in the first year, 75% of the price if it fails in the second year, 50% of the price if it fails in the third year, and nothing after that. What is the expected value of the payment on the warranty if

Question o The weights (in pounds) of a sample of five boxes being sent by UPS are 12, 6, 7, 3, and 10. Compute the standard deviation. O 3.13 O 9.84 12.3 O 3.50 Previous

Teacher's Salary The average teacher's salary in a particular state is$54,154. If the standard deviation is $10, 270, find the salaries corresponding to the following z-scores. The salary corresponding toZ = 3.5 is

q1- A corporate Web site contains errors on 50 of 1000 pages. If 100 pages are sampled randomly, without replacement, approximate the probability that at least 1 of the pages in error is in the sample. use three different distributions (Normal distribution, Binomial distribution, Poisson distribution) to solve it.

Determine whether the value is from a discrete or continuous data set. Volumeofliquidinaglassis350mL Is the value from a discrete or continuous dataset? Continuous or Discrete

Solve please Use the data file to answer the following: Your employer has asked you to figure out if the number of classes taken at this studio is significantly different from the population average (220 - 2019 population average, o = 45). Using this data, how many classes do the top 5% of clients take

CAN SOMEONE PLEASE RE ''DO THIS'' TABLE FOE ME PLESE

N Statistic 4434 4434 4356 4382 4434 4434 4434 4305 Descriptive Statistics Mininwrn Maxirnurn Statistic Statistic Age at exam in years Participant sex CDC BMI categories Total serum cholesterol, mgdL Current srnoker Systolic blood pressure, Prevalent coronary heart disease (CHO) ValidN (yvise) SetVaue 1,7in Row 3 Column 1 ihords 195 i Spell Check

Assume that cans Of cool or filled such at the actual amount of a population mean the equals 8 ounces a random sample of 36 cans has a meeting at 8.18 ounces the distribution of sample means of size 10 equals 36 is normal within assuming of 8 ounces in those sample means have a standard deviation of .02 ounce

Please help with the following question 7 A study found that 80% of the babies are walking by 13 months of age. If the age at which babies develop the ability to walk can be modeled by a normal model, and the standard deviation is 1.3 months, find the mean age at which babies develop the ability walk

What proportion of BC student population own a pet? In a survey of 250 randomly selected student, 65 indicated that they own a pet. Using these results, test the claim that the proportion of BC students that own a pet is at least 25%. Use a .05 significance level. What is the claim in symbolic form? What is the null hypothesis? What is the

An article manufactured by a company consists of two parts A & B. In the process of manufacture of part A, 9 out of 100 are likely to be defective. Similarly, 5 0ut of 100 are likely to be defective in the manufacture of part B. Calculate the prob. that the assembled article will not be (assuming that the events of finding the part A non-defective

A political candidate wants to estimate their chance of winning the next election. There are 68969 registered voters in this political candidate's electorate.The political candidate's team sent a survey to a group of registered voters in the electorate.Of the survey's sent, 783 responded to the survey.From the respondents, it was found that 46.2%

Psychologists are held to the same Hippocratic Oath as physicians which, in sum, means that they will: agree to refer clients to physicians allow oversight of their practice by medical experts do no harm to the clients they treat promote accuracy and honesty in practice and research

What is the difference between correlation and causation? How would I go about using these approaches (causation and correlation) to provide recommendations?

The Akaike Information Criterion (AIC): a. can be quite useful in formulating simple regressions. b. can help in selecting the correct independent variables. c. will always be a number between zero and four. d. tests for statistical significance of each variable independently.

1) The data in the excel file labelled "Fav Sport MATH.2830 HW 1" shows the result of a survey of several Introduction to Statistics students who were asked what is their favorite sport to participate in. a) (10 pts) Make a pie chart of the data showing percents. b) (10 pts) Make a bar chart of the data showing frequency counts

All the data is present in the picture Q 02: Estimate the regression equation and the eo-efeient of correlation for the following data and interpret the result. - Expenditure (I) Q 03: Given the data below, test the hypothesis that the means of the two populations are equal. Let or =0-05 , H0: 111 = M, and H1: n1 36 112 Sample 1 Sample 2

The regression slope term () in the simple bivariate regression model is: a. usually known to the investigator. b. the change in the conditional mean of Y given a unit change in X. c. undetermined using the OLS method. d. correctly interpreted as dY/dX. e. None of the options are correct.

Tree sections of a statistic class attaining 28,32,35 students averaged 83,80,76 respectively on the same find examination. What is the combine population mean for all 3 section? ?

i need help with this 4. Same Birthday: If two people are randomly selected from a class of 30 students} what is the probability that they have the same birthday

2. The probability of winning at a certain slot machine is calculated to be 0.15. What is the probability of winning with this machine at least once in 5 attempts? Create a probability model and use Line 119 of Table A to simulate 10 trials. Then state your experimental probability

There are 6 milk chocolates and 4 plain chocolates in a box. Rob takes at random a chocolate from the box and eats it. Then Alison takes at random a chocolate from the box and eats it. a) Complete the probability tree diagram b) Work out the probability that there are now exactly 3 plain chocolates in the box.

Consider a uniform distribution u[0,1] {meaning minimum value is D and maximum is 1}: a] Draw this distribution and describe its general shape b] What is the probability of a randomly selected value being greater than or equal to a value Xi

Answer the following? 1. A die has three sides. Use formulas from class to find the expected value, variance and standard deviation of X if X is (a) the number of tosses of the die until the first 1; (b) the number of tosses of the die until the third 1; (c) the number of 1's in 8 tosses of the die

A political candidate wants to estimate their chance of winning the next election. There are 68969 registered voters in this political candidate's electorate.The political candidate's team sent a survey to a group of registered voters in the electorate.Of the survey's sent, 783 responded to the survey.From the respondents, it was found that 46.2%

The probability of randomly selecting a patient with "gene X" is 0.18. If 40 patients are randomly selected, which of the following is the closest to the probability that 6 or fewer of the patients have "gene X" ?

Read the 3 articles below: https://finance.yahoo.com/news/strong-july-jobs-report-points-to-fed-taper-this-year-181426962.html https://finance.yahoo.com/m/9f140fc7-2d3f-30ed-9c61-6550237da216/i'm-a-39-year-old-single-dad.html https://finance.yahoo.com/news/2-monster-growth-stocks-ready-144500261.html Which article interested you the most?Why? How

You draw 2 cards at random, without replacement, from a standard 52-card deck. Find the probability both cards are hearts. P(both hearts) = Find the probability both cards are face cards. Note: Face cards are kings, queens, and jacks. P(both are face cards) = Find the probability the first card is a 3 and the second card is a 8. P(3 followed by 8)

Define the following experiment. Repeatedly toss an unbiased coin until you have either obtained 2 Heads or tossed the coin 4 times. Answer the following questions in the text input box, with full justification for your answers. (a) Write down the sample space S={ } as a set of possible toss patterns. (b) What is the expected number of tosses in

Calculate 95% and 99% confidence intervals for the Total Assessed Value, Heated Area, Air Conditioning, and Fireplaces based on your sample data. Keep in mind that these variables are not the same type . You'll need to decide which formula to use for each variable. There should be a total of 8 confidence intervals calculated, 2 for each of the 4

Is this correct? P(A) = 0.25 P(B) = 0.40 P(AorB) = 0.50 What is P(B A) ? 0.6 Does event A exert positive, negative, or no influence on B? no influence

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Assume you have a business with ten employees, and you want to choose a time slot to give a lunch break to them. You have four different time slots as candidates, and you want to choose the one in which the chances of having customers are lower. How would you use the knowledge from this unit to make this decision? Which probability distribution do

How many commuters must be randomly selected to estimate the mean driving time of Baltimorecommuters? We want 99% confidence that the sample mean is within 5minutes of the population mean.Assumethe population standard deviation is known to be 13minutes.

1. Among a sample of 1500 undergraduates, the average GPA was 3.2 (standard deviation 0.78). Construct and interpret a 95% confidence level for the true population mean GPA. 2. Among a sample of 387 adolescent women, the average relationship length 8.93 weeks (standard deviation 1.78). Construct and interpret a 99% confidence level for the true