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Mathematics Questions and Answers March 10, 2023

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Math215 Statistical Concepts Name: Maria Carney Normal Distribution - Amount of Sleep Do we humans get enough amount of sleep we need? Here is what some experts are saying... "There is increasing evidence that there is a very strong relationship between sleep quality and physical and mental health..." A national survey of 31,044 adults revealed a

Hello tutor :) i have a question An investor has up to $450,000 to invest in three types of investments. Type A pays 6% annually and has a risk factor of 0. Type B pays 10% annually and has a risk factor of 0.06. Type C pays 12% annually and has a risk factor of 0.08. To have a well-balanced portfolio, the investor imposes the following

I have attached screenshots of the assignment. I have attached a screen shot of my instructor explaining a few things, screen shots of the examples provided, and finally a screen shot of the actual assignment.

A researcher wishes to determine whether people with high blood pressure can reduce their blood pressure, measured in mm Hg, by following a particular diet. Use a significance level of 0.05 to test the claim that the treatment group is from a population with a smaller mean than the control group. Assume unequal variances between the two

these games which is always negative for the player and positive for the casino house. The absolute values of the two are exactly the same. Therefore, what the player loses equals what the house wins (in the long run). If the expected value of a game for the player is 0, then the game is 'fair'. Note that fair games would earn zero revenue for the

The following list of 11 measurements: -44, 31, 49, -91, 42, 72, -25, 50, 35, 99, -70 Suppose that these 11 measurements are respectively labeled x1, x2,...x11 Thus -44 is label x1, 31 is labeled x2 and so on. Find (xi - 46)

Suppose that we have two functions, f(x) and g (x), and that f(2)=2 g(2)=3 f'(-4)=-4 g'(2)=2 Calculate the values of the following derivatives when x is equal to 2. a).d/dx(f(x)+g(x))= b).d/dx(f(x)g(x))= c).d/dx((f(x)/g(x))= d).d/dx((f(x))/(f(x)+g(x)))= e).d/dx(f(x)g(x)^2)= f).d/dx(xf(x))= g).d/dx((f(x)/(x))=

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Customers arrive at a facility according to a Poisson distribution at the rate of two hour. Find the following: (a) The average number of customers arriving in an 8-hour period. (b) The probability that there will be at least one customer in a 1-hour period.

In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 67.8 inches and a standard deviation of 2.0 inches. A study participant is randomly selected. Find the probability that a study participant has a height that is less than 68 inches. Please provide detail answers.

1. You are putting different additives into a fuel. Looking at the preliminary data it appears from the averages that Fuel C's additive is increasing mileage. Using Minitab, run an ANOVA. 1) Is the improvement statistically significant? 2) How do you know? 2. The cycle time to complete a final step on an assembly line is normally distributed, with

Let X1, X2, . . . , Xn be a random sample from N(, 2 ). a. What is the distribution of To = Pn i=1 Xi? b. What is the distribution of U1 = X1 X2?

1) Sony would like to test the hypothesis that the average age of a PlayStation user is different from the average age of an Xbox user. A random sample of 32 PlayStation users had an average age of 33.7 years while a random sample of 36 Xbox users had an average age of 35.6 years. Assume that the population standard deviation for the age of

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The table shows data on asthma-related visits. Is there evidence that these visits vary by quarter? Can you detect a trend? A powerful tool would be to run a multiple regression in Excel. If the function is already loaded, you will find it in Data > Data Analysis > Regression. If not, get help in adding the Analysis Tool Pak. To test for quarterly

For the followingproblem, (a) Write a system of equations to represent the problem. (b) Solve using thegraphing, substitution, OR elimination method. There were 480 people at a play. The admission price was$2 for adults and$1 for children. The admission receipts were$800. How many adults and how many childrenattended? (please show all steps to get

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I need help solving this question please: If you would please document the steps so that I understand how to solve future problems that would be great. The Length of a rectangular banner is 4 feet longer than its width. If the area is 77 square feet, find the dimensions Width of banner = ? feet and length = ? feet

Use your virtual Algebra tiles. Make a square using one or more of each of the following types of tiles. x2-tile x-tile 1-tile Describe the area of your square using an algebraic expression. Make sure to use x^2 tiles, x tiles, and 1 tiles, and *only* those tiles

A researcher would like to determine if the proportion of households without health insurance coverage differs with household income. Suppose the following data were collected from 700 randomly selected households. Yes no 60 22 142 41 203 37 174 21 Heath Insurance Household Income Less than$25,000 $25,000 to$49,999 $50,000 to$74,999 $75,000 or

Find solutions to the following problems. Be sure to use the proper calculations and include a statement about significance. A researcher is interested in whether there is any association between political identification and attitude toward a new government proposal for college tuition assistance for students. Questioning 190 respondents, she

Health Care Research & Statistics Choosing Statistical Tests Assignment 11A-2 Instructions: For each problem indicate the hypotheses and the statistical test that you would use to analyze the data. 1. An educator believes that new directed reading activities in the classroom will help elementary school pupils improve some aspects of their reading

The average time it takes college freshmen to complete the Mason Basic Reasoning Test is 38.3 minutes. The standard deviation is 3.2 minutes. Assume the variable is normally distributed. Find the probability that it will take a student between 30 and 45 minutes to complete the test. a. 0.0213 b. 0.9769 c. 0.7255 d. 0.2745

An open box is to be made from a square piece of cardboard whose sides are 10 inches long, by cutting squares of equal size from the corners and bending up the sides. Determine the size of the square that is to be cut out so that the volume may be a maximum. A square with a side of length ___inches should be cut away from each corner to obtain the

The owner of Maumee Ford-Mercury-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year. Car 1 2 3 4 5 6 Age (years) Selling Price ($000) 9 8.1 7 6.0 11 3.6 12 4.0 8 5.0 7 10.0 Car 7 8 9 10 11 12 Age (years) Selling Price

A multiple-choice test has sixpossible answers for each question. (a)If a student guesses at the answer, what is the probability that he or she selects the correct answer for one particular question? (b) If the student first eliminates oneof the sixpossible answers and guesses from the remaining possibilities, what is the probability that he or

Assume thatwomen'sheights are normally distributed with a mean given by=63.1in,and a standard deviation given by=3.1in. (a)If 1 woman is randomlyselected,find the probability that her height is less than64in. (b)If 31women are randomlyselected,find the probability that they have a mean height less than64in.

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a coin is tossed and a six sided die numbered 1 thru 6 is rolled find the probability of tossing a tail and then rolling a number greater then 3

Researchers fed cockroaches a sugar solution. Ten hours later, they dissected the cockroaches and measured the amount of sugar in various tissues. Here are the amounts (in micrograms) of d-glucose in the hindguts of 5 cockroaches: 55.95 68.24 52.73 21.50 23.78 (The standard deviation of this sample is 20.74.) From previous work, the researchers

Frequency Distribution - Quantitative Maintenance lower 320 340 360 380 400 420 440 460 480 500 520 540 560 Histogram 20.0 Percent 18.0 16.0 14.0 12.0 10.0 8.0 6.0 4.0 2.0 0.0 Maintenance Descriptive statistics Maintenance count 80 mean 450.29 sample variance 2,882.18 sample standard deviation 53.69 minimum 329 maximum 570 range 241 1st quartile

A company claims that the mean weight perapple they ship is 120 grams with a standarddeviation of 12 grams. Data generated from asample of 49 apples randomly selected from ashipment indicated a mean weight of 122.5grams per apple. Is there sufficient evidence toreject the companys claim? (use = 0.05) Bottles of a popular cola drink are supposed to

A game of chance is based on rolling a die two times in succession. The player wins if the larger of the two numbers is greater than 3. Which of the following situations would simulate 10 plays of this game? a)Choosing 10 digits from the random number table (discarding 0,7,8, and 9). b)Choosing 60 digits from the random number table (discarding

An automatic character recognition device can successfully read about 85%of hand-written credit card application. a. Three credits card applications are randomly selected. What is the probability that the device successfully read at least two of them?1 b. Three hundred credits card applications are randomly selected. What is the probability that

Rewrite log 3 81 = 4 as an exponential equation. Rewrite 10 -3 = 1/1000 as a logarithmic equation.

In a classroom, the students are 19 boys and 13 girls. If one student is selected at random, find the probability that the student is a girl.

I posted this in Advanced questions 4 hours ago and the person who reserved the question did not answer. Can anyone answer this in 20 min or less? A.C. Nielesen Company provides information to organizations advertising ontelevision.Prior research indicates that adult Americans watch an average of 6.0 hoursper day of television. The standard

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It has been observed that some persons who suffer colitis, again suffer colitis within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of

Sam 'Vandelay' Johnson plays basketball for his college team. You've observed that the probability of Sam making a given shot is 0.5 and that the success of a given shot is independent of other shots. Over the course of many games, Sam takes 100 attempted shots at the basket. Let W be the random variable that is the number of successful shots. You

The proportion who smoke among adult residents of Kentucky in 2004 was, the highest of any state in the United States. Treat this as the population proportion, and suppose you take a random sample ofKentucky residents. a.Determine the probability of obtaining a sample proportion of Kentucky smokers that is more thanaway from the population

Provide a substantive interpretation of the following 99 percent confidence interval: (.23, .43)

find the equation of the line that fits the description passes through (8,8) has zero slope, what is the equation of the line

The national average SAT score (for Verbal and Math) is 1028. Suppose that nothing is known about the shape of the distribution and that the standard deviation is 100. If a random sample of 200 scores were selected and the sample mean were calculated to be 1050, would you be surprised? Explain

ID 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 Sex Sex1 Age LOS DRG F 1 46 4 294 F 1 87 8 139 F 1 70 10 34 M 0 72 5 140 F 1 82 3 141 F 1 85 2 15 F 1 73 5 294 M 0 65 6 241 M 0 73 6 335 F 1 94 14 148 F 1 94 11 89 M 0 79 5 127 M 0 82 6 89 F 1 76 3

A sporting goods store sells 125pool tables per year. It costs $12to store one pool table for a year. Toreorder, there is a fixed cost of $30per shipment plus $14 for each pool table. How many times per year should the store order pooltables, and in what lotsize, in order to minimize inventorycosts? The store should order _____pool tables _____

A cotton grower in South Georgia produces cotton on farms in Statesboro and Brooklet, ships it to cotton gins in Claxton and Millen where it is processed, and then sends it to distribution centers in Savannah, Perry, and Valdosta where it is sold to customers. Presently, 700 and 500 tons of cotton are available in Statesboro and Brooklet,

stage time age diagyr delta "1" 1 0.6 77 76 1 "2" 1 1.3 53 71 1 "3" 1 2.4 45 71 1 "4" 1 2.5 57 78 0 "5" 1 3.2 58 74 1 "6" 1 3.2 51 77 0 "7" 1 3.3 76 74 1 "8" 1 3.3 63 77 0 "9" 1 3.5 43 71 1 "10" 1 3.5 60 73 1 "11" 1 4 52 71 1 "12" 1 4 63 76 1 "13" 1 4.3 86 74 1 "14" 1 4.5 48 76 0 "15" 1 4.5 68 76 0 "16" 1 5.3 81 72 1 "17" 1 5.5 70 75 0 "18" 1 5.9

Hello, can you assist with this question? Let be a standard normal random variable. Use the calculator provided to determine the value of such that P ( -c < Z < c ) = 0.9634 Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.

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Assume that you have applied to two universities ( call them A and B ) for your degree. In the past, 32% of students with similar credentials as yours who applied to university A were accepted. In the past, 40% of students with similar credentials as yours who applied to university B were accepted. Assume that the applications are independent of

the national freshman-to sophomore retention rate has held steady at 74%. A certain college has 490 of the 601 freshman return as sophomores. Does this college have a right to brag that it has an unusually high retention rate? Choose from the following Yes, because their retention rate is not more than 3 standard deviations above the expected rate

2. The cheetah (Acinonyx jubatus) is the fastest land mammal and is highly specialized to run down prey. The cheetah often exceeds speeds of 60 mph and, according to the online document Cheetah Conservation in Southern Africa (Trade & Environment Database (TED) Case Studies, Vol. 8, No. 2) by J. Urbaniak, the cheetah is capable of speeds up to 72

Solve for x for the following problem, remember to add the terms (68+x)=12

The parabola in the figure below has an equation of the form y = ax2 + bx - 4. Find the equation of the parabola using two different methods, by hand and with technology (graphing utility or computer software). Write a paragraph describing the methods you used and comparing the results of the two methods

In a current study, a random sample of teachers from Georgia and an independent random sample of 10 teachers from Indiana have been asked to report their annual income. The data obtained are as follows: Georgia 32461, 40374, 28053, 28592, 41899, 28785, 36190, 20720, 39467, 44934 Indiana 28474, 39895, 47134, 46178, 35413, 36194, 30620, 31287,

Use an example to describe a situation where a scatter plot of the data would result in all of the data points falling exactly on a straight line. What would be the calculated value of r. I am looking for more of written examples to write in a paragraph form, then I will show calculations. Thank you!

According to a candy company, packages of a certain candy contain 21% orange candies. Find the approximate probability that the random sample of 300 candies will contain 25% or more orange candies. Using normal approximation, what is the probability that at least 25% of 300 randomly sampled candies will be orange? Can anyone explain to me in

In Ercn'isr's 1 through fimctirm. 1 fix) = 05" fl 4rl'+] 2 f(.r) = 96 3. fix) = xe" 4- fb') = x 5. = 30 + log-ODSJ' 6 f(.r) = grimm "'i 40 xx' "(My e l "'ic . ; i ' fl" II and Lmh ll' ) is g )xN'lllru:Vh g l tw" ' . ' in sf ' '. uv mw ' Am as! . "WE" . yu" IL 'r l (ln s' i* Wo in mud U" '6 un ' i ,. "it: ' Ht ;( n'l "" V" kno'V 1 ' "In ic! ; '0'

An investigator interested in regional differences in breastfeeding attitudes and practices conducts a national survey. The survey includes a multi-item instrument measuring breastfeeding attitudes. The resulting breastfeeding attitudes scale takes values ranging from 1 to 5, with higher numbers representing more favorable attitudes toward

Compare and contrast Type I errors and Type II errors and explain which one is of more concern to researchers. Need answered in 1 hour!

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On a large construction site the lengths of pieces of lumber are rounded off to the nearest centimeter. Let X be the rounding error random variable (the actual length of a piece of lumber minus the rounded-off value). Suppose that X is uniformly distributed over [-0.5,0.5]. Find (a) P(-.10

The lengths of time(in years) it took a random sample of 32 former smokers to quit smoking permanently are listed. Assume the population standard deviation is 5.85 years. At =0.02, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years? Complete parts(a) through(e). 18.2 14.7 14.4

What would you add to both sides of the equation in order to solve the quadratic equation by completing the square? a^ 2 - 5 a = -4 a) -2.5 b ) 2.5 c ) -6.25 d )6.25

In 1990, the average duration of long-distance telephone calls originating in one town was 9.3 minutes. A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1990 mean of 9.3 minutes. Formulate the null and alternative hypotheses for the

A major airline company is concerned that its proportion of late arrivals has substantially increased in the past month. Historical data shows that on the average 18% of the company airplanes have arrived late. In a random sample of 1,240 airplanes, 247 airplanes have arrived late. If we are conducting a hypothesis test of a single proportion to

Multiply: (2t^2-t-2) (2t^2+2t-1) Simplify your answer.

IF IN A SAMPLE OF n = 16 SELECTED FROM A NORMAL POPULATION, THE SAMPLE MEAN = 56 AND THE SAMPLE STANDARD DEVIATION = 12, WHAT IS THE VALUE OF t STAT IF YOU ARE TESTING THE NULL HYPOTHESIS POPULATION MEAN = 50?

Name(s) ECON 2370: Introduction to Economic Data Analysis Due date: Monday, April 4 (Mo-We section) Tuesday, April 5 (Tu-Th sections) PS# Class time: Spring 2016 Homework # 6 1. The following results come from two independent random samples taken of two populations. Sample 1 n1=50 Sample 2 n2=35 x 1=13.6 x 2=11.6 1=2.2 2=3.0 a. What is the point

A survey was conducted to measure the number of hours per week adults in the United States spend on their computers. In the survey, the number of hours were normally distributed, with a mean of 7 hours and a standard deviation of 1 hour. A survey participant is randomly selected. (a) Find the probability that the number of hours spent on the

Solve. 2x/3 - x = x/6 - 3/2 Multiple choice answers: a.) x = (simplify your answer) b.) There is no solution.

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A government official estimates that the mean time required to fill out the long form of the United States Census follows a distribution which is approximately normal with mean 36 minutes. A random sample of 16 people who were given the long form took a sample mean time x-bar = 40 minutes with sample standard deviation s = 10 minutes. Decide if

Lesson 1 1- Formulate an absolute value inequality to represent a real-world situation and graph its solution set. Interpret the solution. 2- To make baby carrots for snacks, long carrots are sliced into 2-inch section and then peeled. If the machine that slices the carrots is accurate to within 1/8 of an inch, the length of a baby carrot ranges

Twenty years ago 40 children were born in the same hospital in Denmark. Researchers classified the children by whether or not they were breast-fed for at least 3 months. They were interested in whether breast-feeding tends to increase IQ levels. Recently the 40 young adults were given IQ tests. The testers did not know which group a subject

Can you pleas help me with these questions? I will be posting the questions shortly

In a recent poll of 740 randomly selected adults, 586 said that it is morally wrong to not report all income on tax returns. Use a .05 significance level to test the claim that 70% of adults say that it is morally wrong to not report all income on tax returns. Identify the test statistic and p-value.

6. The Charm City Truck Rental Inc. has accumulated extra trucks at three of its truck leasing outlets, as shown in the following table: Leasing Outlet Extra Trucks 1. Atlanta 70 2. St. Louis 115 3. Greensboro 60 The firm also has three outlets with shortages of rental trucks, as follows: Leasing Outlet Truck Shortage A. New Orleans 80 B.

I have most of this answered. I am having difficulty in answering #3 & #4. How do I determine the expected value in #4 and the expected profit in #3? Thanks! BUYU Manufacturing has beencontracted to provide SAEL Electronics with printed circuit and motherboards (PC) boards under the following terms: 100,000 PC boards will be delivered to SAEL in

The owner of an automobile repair shop studied the waiting times for customers who arrive at the shop for an oil change. The following data with waiting times in minutes were collected over a one-month period. 2 5 10 12 4 4 5 17 11 8 9 8 12 21 6 8 7 13 18 3 (a) Develop a frequency distribution using classes of 0-4, 5-9, 10-14, 15-19, and 20-24.

California is hit by approximately 500 earthquakes that are large enough to be felt every year. However, those of destructive magnitude occur on the average once every year (suppose earthquakes follow a exponential distribution).a) Find the probability that California will experience at least one earthquake of this magnitude during a 3-month

Explain the least-squares criterion for obtaining estimates of the regression coefficients in 40 words or less.

We use thetdistribution to construct a confidence interval for the population mean when the underlying population standard deviation is not known. Under the assumption that the population is normally distributed, findt 2 ,df for the following scenarios.UseTable 2.(Round your answers to 3 decimal places.) t /2,df a. A 95% confidence level and a

need to see what test is used and how answer is reached. Thank you! Various studies indicate that approximately 11% of the world's population is left handed . You think this number is actually higher. You take an SRS of 212 people and find that 27 of them are left handed. Test your claim at the 5% significance level. Part a: State your null and

13.1)The cost of a home depends on the number of bedrooms in the house. Suppose the following data is recorded for homes in a given town price (in thousands) 300 250 400 550 317 389 425 289 389 559 No. bedrooms 3 3 4 5 4 3 6 3 4 5 Make a scatterplot, and t the data with a regression line. On the same graph, test the hypothesis that an extra

A recent study conducted by the state government attempts to determine whether the voting public supports a further increase in cigarette taxes. The opinion poll recently sampled 1500 voting age citizens. Of the 1500 sampled citizens, 1020 were in favor of an increase in cigarette taxes. The state government would like to decide if there is enough

Suppose that the foot lengths in the population of all university students taking elementary statistics do in fact follow a perfect normal distribution with the population mean = 25 cm and population standard deviation = 2.7 cm . Under this assumption, determine the proportion of all students who have a foot length measure of at most 24 cm.

Rent 2950 2400 2375 2375 2350 2000 1935 1825 1810 1735 1695 1405 1375 1365 1325 1275 1200 Beds 4 4 3 3 4 3 3 3 2 3 3 3 2 2 2 2 1 Baths 4.0 2.0 3.0 3.0 2.5 2.5 2.0 2.0 2.0 2.5 2.0 1.0 1.0 1.0 2.0 2.0 1.0 Sqft 1453 1476 1132 1132 1589 1459 1200 1248 898 1060 1100 1030 924 974 988 880 712 1180 1180 1115 1100 1060 1007 850 810 785 744 2 2 2 2 1 3 2 1

A student receives the following grades, with an A worth 4 points, a B worth 3 points, a C worth 2 points, and a D worth 1 point. What is the students weighted mean grade point score? B in 22 two-credit classes D in 1 two -credit class A in 1 three -credit class C in 1 three -credit class What is the mean?

I'm having difficulty with this question Total cholesterol in children aged 10-15 is assumed to follow a normal distribution with amean of 191 and a standard deviation of 22.4.a.What proportion of children 10-15 years of age have total cholesterol between 180 and190?

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