1. Draw two histograms to represent two populations with a common mean, but with a standard...

1. Draw two histograms to represent two populations with a common mean, but with a standard deviation

of the second population larger than that of the first.

2. Draw two histograms to represent two populations with the mean of the first population larger than

that of the second, but with a common standard deviation.

3. If the standard deviation of a population is zero, what can you say about the observations of that

population?

( Please explain the solutions . i have a test this week and I’m confused )

Solutions

Expert Solution

Here we are taking samples of two normal distribution with the same mean and different standard deviation.

data1 ~ N(5,10) and data2 ~ N(5,20)

and the data is as follows

> data1 <- rnorm(20,5,10)
> data2 <- rnorm(20,5,20)
> hist(data1)
> hist(data2)
> data1
[1] -14.1594520 -2.8567743 4.0020726 5.0485712 -1.4288060 4.1153539 17.3823061
[8] 3.3351271 4.4581816 -10.7527625 -0.3584677 7.5337611 1.0341276 -7.6230778
[15] 8.4608876 -6.2248454 5.9739155 2.8561372 10.6726384 19.2082070
> data2
[1] -27.7207000 2.6669421 -12.1278855 -36.4089068 -3.2887953 -11.7676573 8.3062198
[8] 8.8320770 -1.1073838 8.3325758 -0.6989467 24.3139753 -14.8585661 0.3552415
[15] 5.2751997 -17.3715020 -9.2753353 30.0987542 -34.5395722 47.1727001

Here we are taking samples of two normal distribution with the different mean and same standard deviation.

data1 ~ N(15,5) and data2 ~ N(10,5)

and the data is as follows

data1 <- rnorm(20,15,5)
> data2 <- rnorm(20,10,5)
> hist(data1)
> hist(data2)
> data1
[1] 8.839760 16.676272 19.904197 16.375453
[5] 19.135349 10.804172 8.823600 5.251564
[9] 15.876402 18.467850 11.928616 8.947840
[13] 17.646653 17.692819 1.367342 17.655593
[17] 16.720890 17.693406 21.057683 21.289203
> data2
[1] 11.5368136 9.6833670 5.9658488
[4] 8.4530015 10.5477951 18.9525564
[7] 15.9885261 15.1161655 15.4226111
[10] 9.7654731 3.0236538 16.4022282
[13] 11.1879639 -0.6999328 5.2688426
[16] 15.2005260 15.2470598 3.6663033
[19] 15.0583669 10.2965091

If the standard deviation of a sample is zero, we can say that the observation of the sample are identical to each other

d <- rnorm(10,5,0)
> d
[1] 5 5 5 5 5 5 5 5 5 5

milcah answered 7 months ago

Next > < Previous

Related Solutions

1. Draw two separate demand and supply diagrams to represent the beer market – one for...

1. Draw two separate demand and supply diagrams to represent the beer market – one for Canada and one for Colorado. Be sure to label your graph properly (title, axes, curves, equilibrium, etc.) – your graph should be stand-alone which means a reader can easily interpret your graph. Show how the legalization of marijuana in each location has impacted the market for beer. Make sure you clearly indicate which curve shifts and compare the old equilibrium to the new one.*...

In order to compare the true mean for two populations, μ 1, and, μ 2, independent...

In order to compare the true mean for two populations, μ 1, and, μ 2, independent random samples of individuals are selected from each population. Descriptive statistics found for each sample are provided in the table below : Group Statistics GROUP n Mean Std. Deviation Variable 1 2 9 7 16.09 4.55 0.588 9.438 Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means F Sig. t df Sig. (2-tailed) Mean Difference Std. Error Difference 95%...

Give an example of a mean that applies to two Populations for which you, as a...

Give an example of a mean that applies to two Populations for which you, as a Health Professional, would like to do a Hypothesis Test for. In your Hypothesis Test you will be testing the difference between these two Population means when the two samples are independent. Your discussion MUST include the two target Populations along with the Population characteristic that your mean is computed for, and the unit that is used when taking the sample measurements. As shown in...

In R, Draw 1000 samples from the following distributions and create histograms for each. Be sure...

In R, Draw 1000 samples from the following distributions and create histograms for each. Be sure to comment about each histogram. Remember all histograms should have four items addressed. (a) X ∼ N (0, 1) using rnorm function. (b) X ∼ Gamma(2, 3) using the rgamma function. (c) X+Y where X ∼ N(5,2) and Y ∼ χ2(15). (d) X ∼ Binomial(1, 0.3). (e) Calculate a mean of a vector X = (X1, X2, ..., Xn ) 1000 times, where Xi...

4. What is a segmental duplication? Are they common in natural populations? Give two examples, not...

4. What is a segmental duplication? Are they common in natural populations? Give two examples, not found in your textbook, of how they could affect a person’s phenotype.

Test the claim about the means of two populations. Do not assume that the population standard...

Test the claim about the means of two populations. Do not assume that the population standard deviations are equal. A researcher wishes to determine whether people with high blood pressure can reduce their blood pressure by following a particular diet. Use a significance level of 0.01 to test the claim that the treatment group is from a population with a smaller mean than the control group. Treatment Group Control Group n1 = 101 n2 = 105 ?̅1 = 120.5 ?̅2...

Draw two arrows. One to represent healthy posture of the spine and one arrow that represents...

Draw two arrows. One to represent healthy posture of the spine and one arrow that represents abnormal posture of the spine. Draw an outline of a person if this helps to support your response.

Draw 100 numbers from a normal distribution with a mean of 7 and standard deviation of...

Draw 100 numbers from a normal distribution with a mean of **7** and standard deviation of **4**, and store the output in an object called "x1": (R STUDIO)

You draw two cards from a standard deck of 52 cards, but before you draw the...

You draw two cards from a standard deck of 52 cards, but before you draw the second card, you put the first one back and reshuffle the deck. (Round your answer to three decimal places) 1) Find P(Ace on first card and Red card on second card) 2) Find P(Ace and King in either order) 3) If you do not replace the first card before drawing the second card, Find P(Ace on first card and King on second card)

1. What does it mean when a firm "goes local?" a. Draw two sets of supply...

1. What does it mean when a firm "goes local?" a. Draw two sets of supply and demand graphs for a grocery store. Label the first one "standard" and label the second one "local." Illustrate how "going local" shifts supply, demand, or both curves. b. Explain why you drew your graphs the way you did. Note: Oliver's grocery store is just a case study of a grocery store that "goes local" by buying local products to inflate local economy

Subjects