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Recent questions in Modeling data distributions

fortdefruitI 2020-11-09

Calculating appropriate arithmetic mean, median and peak values for equal data group. a) Body weights (kg) of patients who come to a nutrition clinic: 50, 55, 69, 58, 57, 62, 60 b) Height measurements (cm) of children receiving treatment in the pediatric clinic: 120,125, 110, 105, 125, 108, 115, 125, 119 c) Blood urea level (mg / dl): 119, 5, 2, 6, 4, 3, 1 d) In which of the above distributions, arithmetic mean and peak value in hagi are not appropriate center criteria? Why is that?

vazelinahS 2020-11-08

Testing for a Linear Correlation. In Exercises 13–28, construct a scatterplot, and find the value of the linear correlation coefficient r. Also find the P-value or the critical values of r from Table A-6. Use a significance level of $α = 0.05$ . Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section 10-2 exercises.) Lemons and Car Crashes Listed below are annual data for various years. The data are weights (metric tons) of lemons imported from Mexico and U.S. car crash fatality rates per 100,000 population [based on data from “The Trouble with QSAR (or How I Learned to Stop Worrying and Embrace Fallacy),” by Stephen Johnson, Journal of Chemical Information and Modeling, Vol. 48, No. 1]. Is there sufficient evidence to conclude that there is a linear correlation between weights of lemon imports from Mexico and U.S. car fatality rates? Do the results suggest that imported lemons cause car fatalities? $\begin{matrix} Lemon Imports & 230 & 265 & 358 & 480 & 530 \\ Crashe Fatality Rate & 15.9 & 15.7 & 15.4 & 15.3 & 14.9 \end{matrix}$

geduiwelh 2020-11-08

Are yields for organic farming different from conventional farming yields? Independent random samples from method A (organic farming) and method B (conventional farming) gave the following information about yield of sweet corn (in tons/acre). $Method A : 6.51, 7.02, 6.81, 7.27, 6.73, 6.11, 6.17, 5.88, 6.69, 7.12, 5.74, 6.90 .$
$Method B : 7.32, 7.01, 6.66, 6.85, 5.78, 6.48, 5.95, 6.31, 6.50, 5.93, 6.68 .$ Use a 5% level of significance to test the claim that there is no difference between the yield distributions. (a) What is the level of significance? (b) Compute the sample test statistic. (Round your answer to two decimal places.) (c) Find the P-value of the sample test statistic. (Round your answer to four decimal places.)

tinfoQ 2020-11-08

Self-Driving Vehicle Groups of adults are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they would feel comfortable in a self-driving vehicle Consider, X be the random variable that represents the number if adults who feel comfortable in a self-driving vehicle.
$\begin{array}{cc} X & 0 & 1 & 2 & 3 \\ P (X) & 0.358 & 0.439 & 0.179 & 0.024 \end{array}$

chillywilly12a 2020-11-07

Define the term stochastic models?

sagnuhh 2020-11-07

The following quadratic function in general form, $S (t) = 5.8 t^{2} — 81.2 t + 1200$ models the number of luxury home sales, S(t), in a major Canadian urban area, according to statistical data gathered over a 12 year period. Luxury home sales are defined in this market as sales of properties worth over $3 Million (inflation adjusted). In this case, ${t} = {0} represents 2000 and {t} = {11}$ represents 2011. Use a calculator to find the year when the smallest number of luxury home sales occurred. Without sketching the function, interpret the meaning of this function, on the given practical domain, in one well-expressed sentence.

OlmekinjP 2020-11-07

1)A rewiew of voted registration record in a small town yielded the dollowing data of the number of males and females registered as Democrat, Republican, or some other affilation:

$\begin{matrix} G e n d e r \\ A f f i l a t i o n & M a l e & F e m a l e \\ D e m o c r a t & 300 & 600 \\ R e p u b l i c a n & 500 & 300 \\ O t h e r & 200 & 100 \end{matrix}$

What proportion of all voters is male and registered as a Democrat? 2)A survey was conducted invocted involving 303 subject concerning their preferences with respect to the size of car thay would consider purchasing. The following table shows the count of the responses by gender of the respondents:

$\begin{matrix} S i z e o f C a r \\ G e n d e r & S m a l l & M e d i u m & l a n g e & T o t a l \\ F e m a l e & 58 & 63 & 17 & 138 \\ M a l e & 79 & 61 & 25 & 165 \\ T o t a l & 137 & 124 & 42 & 303 \end{matrix}$

the data are to be summarized by constructing marginal distributions. In the marginal distributio for car size, the entry for mediums car is ?

Jason Farmer 2020-11-05

How do frequency tables, relative frequencies, and histograms showing relative frequencies help us understand sampling distributions? They show each data point in the sampling distribution and how it relates to the overall distribution.They provide insight into the overall behavior of the population, therefore helping us understand the sampling distribution. They help us visualize the sampling distribution by using tables and graphs that approximately represent the sampling distribution.They help us visualize the sampling distribution by using tables and graphs that approximately represent the population distribution.

Ernstfalld 2020-11-02

A car has a purchase price of $24,800. The value declines continuously at an exponential rate of %23 annually. A. Wat is an equation modeling the value of this car after t years? B. What is its value after 6 years? c. How long will it take for its value to be $2000? 2. A bacteria colony grows continuously at an exponential rate. There are initially 1.1 million sent. After 5 days, there are 6.8 million present . a. What is the an equation modeling the number of bacteria present after d days? b. How many bacteria will be present after 7 days? c. How long will it take the number of bacteria to reach 92 million?

emancipezN 2020-10-27

In 1997. Superman's cape from the 1978 movie Superman was sold at an auction. The winning bid was $ 17,000. Write and graph an inequality that represents the amounts all the losing bids.

fortdefruitI 2020-10-26

What is data modeling? What is its primary tool?

Reggie 2020-10-26

Calculate the value and interest that would be earned if $56,780 is invested at $2.8 %$ compounded a) quarterly for 23 quarters b) continuosly for 15 year

sagnuhh 2020-10-26

Listed below are amounts of strontium-90 (in millibecquerels or mBq per gram of calclum) in a simple random sample of baby teth obtained from resident of state A and state B. Use a 0.05 significance level to test the celm that amounts of Strontium-90 from state A residents vary more than amounts from state B resints. Assume that both samples are independent simple random samples from populations having normal distributions. $\begin{matrix} S t a t e A : & 162 & 143 & 150 & 130 & 152 & 152 & 143 & 155 & 131 & 139 & 164 \\ S t a t e B : & 136 & 140 & 142 & 131 & 133 & 129 & 141 & 140 & 142 & 136 & 142 \end{matrix}$

FizeauV 2020-10-23

1. Find each of the requested values for a population with a mean of $? = 40$ , and a standard deviation of $? = 8$ A. What is the z-score corresponding to $X = 52 ?$ B. What is the X value corresponding to $z = - 0.50 ?$ C. If all of the scores in the population are transformed into z-scores, what will be the values for the mean and standard deviation for the complete set of z-scores? D. What is the z-score corresponding to a sample mean of $M = 42$ for a sample of $n = 4$ scores? E. What is the z-scores corresponding to a sample mean of $M = 42$ for a sample of $n = 6$ scores? 2. True or false: a. All normal distributions are symmetrical b. All normal distributions have a mean of 1.0 c. All normal distributions have a standard deviation of 1.0 d. The total area under the curve of all normal distributions is equal to 1 3. Interpret the location, direction, and distance (near or far) of the following zscores: $a . - 2.00 b . 1.25 c . 3.50 d . - 0.34$ 4. You are part of a trivia team and have tracked your team’s performance since you started playing, so you know that your scores are normally distributed with $μ = 78$ and $σ = 12$ . Recently, a new person joined the team, and you think the scores have gotten better. Use hypothesis testing to see if the average score has improved based on the following 8 weeks’ worth of score data: $82, 74, 62, 68, 79, 94, 90, 81, 80$ . 5. You get hired as a server at a local restaurant, and the manager tells you that servers’ tips are $42 on average but vary about $$ 12 (μ = 42, σ = 12)$ . You decide to track your tips to see if you make a different amount, but because this is your first job as a server, you don’t know if you will make more or less in tips. After working 16 shifts, you find that your average nightly amount is $44.50 from tips. Test for a difference between this value and the population mean at the $α = 0.05$ level of significance.

postillan4 2020-10-23

A random sample of $n_{1} = 16$ communities in western Kansas gave the following information for people under 25 years of age.
$X_{1} :$ Rate of hay fever per 1000 population for people under 25
$\begin{array}{cc} 97 & 91 & 121 & 129 & 94 & 123 & 112 & 93 \\ 125 & 95 & 125 & 117 & 97 & 122 & 127 & 88 \end{array}$
A random sample of $n_{2} = 14$ regions in western Kansas gave the following information for people over 50 years old.
$X_{2} :$ Rate of hay fever per 1000 population for people over 50
$\begin{array}{cc} 94 & 109 & 99 & 95 & 113 & 88 & 110 \\ 79 & 115 & 100 & 89 & 114 & 85 & 96 \end{array}$
(i) Use a calculator to calculate ${\overset{―}{x}}_{1}, s_{1}, {\overset{―}{x}}_{2}, and s_{2} .$ (Round your answers to two decimal places.)
(ii) Assume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group over 50 has a lower rate of hay fever? Use $α = 0.05 .$
(a) What is the level of significance?
State the null and alternate hypotheses.
$H_{0} : μ_{1} = μ_{2}, H_{1} : μ_{1} < μ_{2}$
$H_{0} : μ_{1} = μ_{2}, H_{1} : μ_{1} > μ_{2}$
$H_{0} : μ_{1} = μ_{2}, H_{1} : μ_{1} \neq μ_{2}$
$H_{0} : μ_{1} > μ_{2}, H_{1} : μ_{1} = μ_{12}$
(b) What sampling distribution will you use? What assumptions are you making?
The standard normal. We assume that both population distributions are approximately normal with known standard deviations.
The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations,
The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations,
The Student's t. We assume that both population distributions are approximately normal with known standard deviations,
What is the value of the sample test statistic? (Test the difference $μ_{1} - μ_{2}$ . Round your answer to three decimalplaces.)

What is the value of the sample test statistic? (Test the difference $μ_{1} - μ_{2}$ . Round your answer to three decimal places.)
(c) Find (or estimate) the P-value.
P-value $> 0.250$
$0.125 < P - value < 0, 250$
$0, 050 < P - value < 0, 125$
$0, 025 < P - value < 0, 050$
$0, 005 < P - value < 0, 025$
P-value $< 0.005$
Sketch the sampling distribution and show the area corresponding to the P-value.
P.vaiue Pevgiue
P-value f P-value

boitshupoO 2020-10-21

An in-ground pond has the shape of a rectangular prism. The pond has a depth of 24 inches and a volume of 72,000 cubic inches. The length of the pond is two times its width.
Find the length and width of the pond.

Statistics and probability also include various data modeling questions, which can be encountered basically everywhere from Social Sciences and Biology to Engineering and Data Science. Depending on your questions, you can receive immediate help by looking through the data modeling examples that we have presented below for you. These will help you to find solutions and find the answers to presented challenges. It is recommended to model your data carefully and to check things twice to ensure that everything is correct because accuracy is the key to any statistical work where a calculation is involved.

Data Modeling Examples and Frequently Asked Questions