Calculating the Confidence Interval for Standard Deviation

In manufacturing tablets, the quantity of active ingredient that is required to lie within 5 mg of the mean is normally distributed and the required condition is considered to hold if sigma < 1.6. A sample of 35 tablets has a sample standard deviation s = 1.321
(a) Find a 95% confidence interval for sigma.
(b) Formulate and perform a suitable hypothesis test at a significance level of 0.05 to see whether the data provides evidence that the required condition is being met.
(c) Find the power of your test in (b) when sigma = 1.2, 1.4 and 1.6, approximating the answers as best the percentage points in the tables permit.
(d) In the given context how would you answers in (c) help to assess the usefulness of the given data?

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Random Sampling - statistics

Doctors identify "chronic tension-type headaches" as headaches that occur almost daily for at least six months. Can antidepressant medications or stress management training reduce the number and severity of these headaches? Are both together more effective than either one alone? The research design necessitates the creation of 4 treatment groups: Stress Management alone; Medication alone; Both Stress Management and Medication; Neither Stress Management or Medication.
The headache sufferers named below have agreed to participate in the study. Randomly assign the subjects to the treatment groups. If you use Random Sample software, assign all of the subjects and identify the software that was used to obtain the samples.
Abbott
Decker
Herrera
Lucero
Richter
Abdalla
Devlin
Hersch
Masters
Riley
Alawi
Engel
Hurwitz
Morgan
Samuels
Broden
Fuentes
Irwin
Nelson
Smith
Chai
Garrett
Jiang
Nho
Suarez
Chuang
Gill
Kelley
Ortiz
Upasani
Cordoba
Glover
Kim
Ramdas
Wilson
Custer
Hammond
Landers
Reed
Xiang

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Confidence interval for the proportion difference

A Pew research study recently randomly selected two groups of people, men and women and asked them if they agree with the following statement: "It s morally wrong for a married person to have an affair" Among 386 women, and 347 agreed with the statement. Among 359 men surveyed, 305 agreed with the statement.

Construct a 95% confidence interval for the difference between two proportions.
a) Label all of the variables
b) Write out the margin of error (E) with all variables identified
c) Calculate E
d) Correctly state the 95% confidence interval

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Test for Proportions

Conduct a test of hypothesis for the claim that a greater proportion of women agree wth this statement than men. Use a 0.05 level of significance.
a) Correctly state the hypotheses and label the claim
b) Draw a diagram correctly showing the sampling distribution
c) Calculate the test statistic
d) Give the p value
e) Tell if you reject/fail to reject the null hypothesis
f) In plain English what can be said of the claim?

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Two sample t test for equal means of two groups

In a randomly controlled trial conducted with children suffering from croup, 46 randomly selected children were treated with ow humidity while another group of randomly selected children were treated with high humidity. Using a Wesley Croup test score, the low humidity group had a mean score of 0.98 with a standard deviation of 122, while the high humidity group had a mean score of 1.09 with a standard deviation of 1.11. The claim hypotheses at the 0.05 level to test the claim.
a) Correctly state the hypotheses and label the claim
b) Draw a diagram correctly showing the sampling distribution
c) Calculate the test statistics
d) Give the p value
e) Tell if you reject/fail to reject the null hypothesis
f) In plain English what can be said of the claim.

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Test values, critical values and claims

Hi,

I have attached the full question. The question regards test values, critical values and claims.

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Wind Turbine Power Calculations

Please show all work as I need to understand , you can even solved in your handwriting.

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Process control

You have taken data from a production process in order to develop an Xbar control chart. You have 25 samples of data with 5 parts measured in each sample to get the Xbar and R (Range). Use this data shown in the table.

Sample 1 2 3 4 5 Xbar R
1 1.55 1.58 1.64 1.67 1.50 1.588 0.17
2 1.52 1.62 1.71 1.74 1.60
3 1.47 1.57 1.44 1.56 1.42
4 1.67 1.73 1.76 1.64 1.64
5 1.46 1.52 1.60 1.41 1.43
6 1.44 1.50 1.53 1.37 1.41
7 1.55 1.64 1.70 1.53 1.58
8 1.54 1.72 1.66 1.52 1.57
9 1.48 1.60 1.57 1.46 1.51
10 1.43 1.55 1.52 1.43 1.46
11 1.40 1.52 1.56 1.38 1.43
12 1.60 1.44 1.55 1.58 1.49
13 1.48 1.46 1.57 1.60 1.65
14 1.56 1.54 1.65 1.68 1.59
15 1.42 1.39 1.51 1.54 1.45
16 1.70 1.71 1.61 1.73 1.64
17 1.51 1.35 1.37 1.49 1.40
18 1.41 1.32 1.44 1.32 1.35
19 1.69 1.58 1.75 1.60 1.63
20 1.67 1.56 1.79 1.58 1.61
21 1.65 1.57 1.68 1.56 1.59
22 1.52 1.46 1.55 1.45 1.46
23 1.51 1.41 1.54 1.42 1.45
24 1.62 1.51 1.69 1.53 1.56
25 1.57 1.46 1.60 1.47 1.51

First plot the data using Excel.
Then determine the UCL and LCL. Do any of the data points need to be thrown out? If so, then recalculate the UCL and LCL.
Then you begin to plot results on this chart. Here are the next 6 samples of data (sample size = 5).
Sample # 1 2 3 4 5 Xbar
26 1.51 1.35 1.37 1.49 1.40
27 1.41 1.32 1.44 1.32 1.35
28 1.69 1.58 1.72 1.60 1.63
29 1.67 1.56 1.70 1.58 1.61
30 1.65 1.57 1.68 1.56 1.59
31 1.52 1.46 1.55 1.45 1.46
Plot these on the control chart.

Is the process in control?
Provide a one page paper discussing the problem, what you did to solve it and what your specific recommendation or plan is for monitoring quality.

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Using excel to solve a two-sample t-test

A company is producing and marketing new reading activities for elementary school children
that it believes will improve reading comprehension scores. A researcher randomly assigns
third graders to an eight-week program in which some will use these activities and others
will experience traditional teaching methods. At the end of the experiment, both groups take
a reading comprehension exam. Their scores are shown in the back-to-back stem-and-leaf display.
Do these results suggest that the new activities are better? Test an appropriate hypothesis
and state your conclusion.
(Assume the significance level of α =0.05)

Test the null hupothesis at α = 0.05 using the two-sample t-test. Let the new activities be sample 1
and the control group sample 2. Identify the null and alternative hypotheses.

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Statistics: Chi-square - CLT

It is a proof for central limit theorem and how one can prove that it has chi squared with 1 degree of freedom as I believe it should have 1 degree of freedom at least. It is attached in the document and my question is in red in the end of the document uploaded in pdf and word format

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Proving suffiiciency for a sample drawn from exponential distributions

A sample of size n is taken from an exponential distribution. Show that X is a sufficient statistic for the mean and that is unbiased. What is its variance? Is the sum of Xi*l(n-1) sufficient?

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Finding MLE for Poisson distribution and then discussing its efficiency

Let x1, x2,.....xn be a random sample from a Poisson distribution with parameter lamda, that is the p.d.f is

see attached

What is the maximum likelihood estimator of lamda? Is it fully efficient in small samples?

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Finding Mean and Standard Deviation for PDF Function

Refere to attachment for better formula representation. Let (Y1, Y2,...Yn) be a random sample from a uniform probabilitydensity functions (p.d.f) given by:
f (y;theta) = (1-theta)^-1, theta<y<1

a. Find the mean of Y and shown that the variance of Y is (1-theta)^2/12
b. Show that theta = 2(sum Y/n) -1 is an unbiased estimator of theta.
c. Show that Var (theta0 = (1- theta)^2/3n

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Normally Distribututed Data

I need some help with this multi-part question on statistics:
The YUMM cereal company distributes Colored Sugar Cereal. Each box is supposed to contain 450 grams of cereal. They also sell cereal in a "2-pack," where each "2-pack" contains 2 boxes of cereal. The 2-packs are supposed to have a total weight of 900 grams. YUMM can choose μ, the actual mean amount of cereal to put in each of the boxes, but their filling process has some inaccuracies. Regardless of the value of μ that they select (typically between 450 grams and 500 grams), the amount of cereal placed in the box by their filling
process is Normally distributed with mean μ and standard deviation 10 grams. (The mean μ is the same for all of the boxes.) Since each box is poured by the same machine that has been calibrated to the chosen value of μ, the correlation between the weights of any two boxes is CORR=0.63.

(a) Suppose that YUMM selects μ = 470 grams. What is the probability that any given box is under the 450 grams than the box is supposed to weigh?

b) Suppose that YUMM selects μ = 460. What is the expected total weight of the 2 boxes in a given "2-pack"? What are thevariance and the standard deviation of the total weight of the given "2-pack"? What is the distribution of the total weight?

(c) Suppose that μ = 460 grams. What is the probability that the total weight of a given "2-pack" is less than 900 grams?

(d) At what value should YUMM set μ so that the probability is 0.95 that the weight in any given single box is at least 450 grams?

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Independent Sample t test using SPSS

12. A college using a new method of teaching calculus wishes to evaluate the effectiveness of the method. A class of 24 first-year college students was randomly divided into two sections, one of which was taught using the new method and the other taught using the old method. Scores on the end-of-semester exam for the two groups of students are given below.

New 91 80 85 87 74 76 83 89 87 75 79 88
Old 86 78 80 83 72 75 82 76 84 72 74 87

(a) Write down the null and alternate hypotheses of interest. (1 point).
H0: μ(difference)=0
H1: μ(difference)≠0

(b) Enter the data into SPSS and carry out an appropriate hypothesis test. Report the table of means and standard deviations and the table of test results. (2 points)
t-Test: Two-Sample Assuming Equal Variances

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Statistics: Moment Generating Function

It is attached it is to show that if all Xi are normally distributed then

Y=a1X1+a2X2+...+anXn

Also is normally distributed

But please see the attachment as the question is a bit more specific than that as well. Thanks

File is uploaded in pdf and word

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Class Width, Class Midpoints, and Class Boundaries

1. Identify the class width, class midpoints, and class boundaries for the given frequency distribution.

White Blood Cell Count for Males Frequency
4.0 - 5.9 8
6.0 - 7.9 15
8.0 - 9.9 11
10.0 - 11.9 5
12.0 - 13.9 1

2. The frequency distribution below shows arrival and delays for airplane flights

Arrival Delay min Frequency
(-60) - (-31) 14
(-30) - (-1) 26
0 - 29 9
30 - 59 2
60 - 89 2

Using the frequency distribution, construct a histogram.
Which part of the histogram depicts flights that arrived early?
Which part of the histogram depicts flights that arrived late?

3. Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities
38.9, 36.3, 34.1, 27.8, 15.2, 12.8, 12.6, 9.4, 9.1,9.2

Calculate the mean, median, mode and mid-range.
Given that these are the top 10 salaries for TV personalities,
Do we know anything about the salaries in TV personalities in general?

4. Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities
41, 39, 38, 30, 21, 19, 18, 17,16.6, 15.2

Calculate the range, variance, and Standard Deviation

Is the standard deviation of the sample a good estimate of the variation of salaries of TV personalities in general?

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Determining the sum of squares, variance, standard deviation

Please help me calculate the ss, variance and standard deviation for this.
n=4 scores are 7, 4, 2, 1
(do i figure the mean here 1st? 3.5?)
ss____
variance____
standard deviation____

Also if a population has a mean of 80 and standard deviation of 20 would the score of x=70 be considered extreme in the sample?
If the standard were 5 would a score of x=70 be considered extreme?

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Z-scores and Extreme Scores

Please explain how I set up and solve this problem:
For each of the populations would a score of x= 50 be considered a central score (near the middle of the distribution) or an extreme score (far out of the tail of the distribution ) is this set up x-u/o?

u=45 o= 10
u=45 o= 2
u= 90 o= 20
u= 60 o=20

If i have a problem that is a distribution with a mean of u=38 and a standard deviation of o=5 is transformed into a standardized distribution with u= 50 and o= 10. Now i need to find the new standardized score for each value from the original population. I have no clue how to set this up and solve it. Please explain in steps if possible.

original x= 39 transformed x=____
original x= 43 transformed x=____
original x= 35 transformed x=____
original x= 28 transformed x=____

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Red Wheelbarrow poem

The Red Wheelbarrow by William Carlos Williams

1. Can you tell what is the importance of the wheelbarrow, rain, and chicken to a farmer?

2. What further importance can you infer from the references to color, shape, texture, and the juxtaposition of object? Does the poem itself have a shape? What two ways of observing and valuing the world does the poem imply?

3. What are the possible reasons for "experimental" qualities in the poem - for instance, its lack of capitalization, its very short lines, and its plain, even homely images? Do these qualities give the poem a greater emotional power than a more conventional and decorative poem on the same topic might have achieve?

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Shall I Compare Thee To A Summer's Day?

Analyze the sonnet "Shall I Compare Thee To A Summer's Day?" by William Shakespeare.

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Asian American Poetry

How is Asian American poetry different from "traditional" American poetry?

When reading American Literature, does it change your insight as a whole into American literature, or did it change any persepction of how you see things now?

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Comparing and Contrasting Poems (Langston Hughes)

I choose Langston's Hughes poems, the weary blues, and Jazziona to compare. Prior to jazziona I assumed it was about two differnet styles of music from the Harlem renaissance. However, after reading said poem, I am again in need of a road map, as contrast and comparisons have been my fatal blow.

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Morrisons's 1968 by Rick Campbell

In reference to the poem:

Morrisons's 1968 by Rick Campbell

In the Riviera Beach black morning
where the secret cold is hidden
from tourists, where only workers
and fishermen on an early mackerel tide
know freezing is a South Florida word,
a 17 year old boy walks to the back door
of Morrison's Cafeteria. Rats scatter
as he mumbles past bloody fryer boxes
and through the greasy backdoor smell.
He hits the lights at the breaker box,
stumbles to the bathroom for starched
white work pants. Ten more minutes
he figures he can steal,
so he sits on the toilet seat and leans his head
on the sticky wall. Chef Narville bangs
the door as he walks down the hall
to change in the black bathroom.
Saturday begins. This is it.
In another world the sun will rise
over the sea. Lovers and drunks sleep
in the sand. His girlfriend is wrapped
in blankets, home. Her touch
still on his hands, but even that
won't save him, so he struggles out
to the stockroom. One more day, he thinks.

Describe perspectives of diversity, personal integrity, or social justice in the workplace that you think are present in the selected reading.

I could use some help with this one. Can you help describe the perspectives of diversity, personal integrity, or social justice in the workplace in the selected reading? Maybe 300 words?

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"The Suicidal Freezer Unit" by Tom Wolfe

This solution describes perspectives of diversity, personal integrity, or social justice in the workplace that you think are present in the reading "The Suicidal Freezer Unit" by Tom Wolfe

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Interpretations of poetry

Please briefly illustrate the meaning behind these selections from the poems. 300 words.

La Belle Dame Sans Merci by John Keats
"I saw their starved lips in the gloam / With horrid warning wide, / And I awoke, and found me here /On the cold hill's side."

Tintern Abbey - Wordsworth, William.
These plots of cottage-ground, these orchard tufts, / Which at this season, with their unripe fruits, / Are clad in one green hue, and lose themselves 'Mid groves and corpses."

"The heart languishes, / Everything has withered; / Poison flows / In my veins."

Goethe, Faust
"The heart languishes, / Everything has withered; / Poison flows / In my veins."

Robert browning "The Bishop Orders His Tomb at Saint Praxed's Church"
"Nephew--sons mine... ah God, I know not! Well-- / She, men would have to be your mother once,/ Old Gandolf envied me, so fair she was!"

The Chimney Sweeper, by William Blake
"And the Angel told Tom, if he'd be a good boy, / He'd have God for his father & never want joy."

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Short Story and Poem: A Comparison of Literary Forms

The Short Story and Poem: A Comparison of Literary Forms
Reflecting on this week's literary readings, as well as your own reading experiences, identify at least one major similarity and one major difference between the forms of the short story and the poem. How do the differences between these literary forms affect how you read and respond to them?

In your response, include an example of at least one poem from this week's readings. Describe the connections between (a) the poem's form and/or use of literary devices and your experience of the poem and (b) your reading experience (see key literary terms listed in our textbook - e.g., alliteration, rhyme, iambic pentameter, etc.). If you wish, you may also compare your experience of the poem to your experience reading a short story that shares with the poem a similar theme.

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Experience of Listening to Poetry

The Experience of Listening to Poetry

Reading Response: Poetry and Performance

Listen to "We Real Cool" and "My Papa's Waltz". These clips demonstrate the importance of performance, rhythm, and musicality in the poetic form.

Describe your listening experience of one or more of the poems. How did hearing the text(s) recited aloud compare to a silent reading of it/them? Did the performance in any ways add to or detract from your experience of the text? Did the performance change your perception of the poem or its content in any ways? Explain how (or how not). Support your ideas with textual details and analysis. When applicable, address how specific literary techniques and/or devices contributed to your experience?

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Performance Aspect of Drama and Poetry

All literature involves some kind of performance which is intended for an audience. Sometimes, however, the performative quality of a work (i.e., the fact that it is being presented to an audience) is more obvious than through others. Drama andpoetry, for example, tend to emphasize overt performance more than short stories, which are read silently and in solitude more frequently.

How is the more direct performative aspect of drama and/or poetry reflected in these forms? Consider, for example, each genre's uses of literary structure, language, technique, and style. How do these literary elements affect your reading experience?

In your answer, identify key qualities of drama and poetry that emphasize their performative qualities. Discuss how these characteristics shape your reading response. Support your views with at least one example of a dramatic text and one example of a poem.

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Analyzing Imagery in Poetry

Using all that you have learned thus far, analyze how the imagery used in the following poems advances the themes of the poets and convey meaning:

- "The Times They Are a-Changin" by Bob Dylan
- "Bonny Barbara Allen " by Anonymous
- "Ex-Basketball Player" by John Updike
- "Mother to Son" by Langston Hughes
- "Ballad of the Landlord"
- "Perfect Dress by Marisa de los Santos
- "Beat! Beat! Drums!" by Walt Whitman
- "Recuerdo" by Edna St. Vincent Mila

Write 3-4 paragraphs explaining how the poets use imagery to advance their themes and convey meaning about life.

- Support your position with evidence from the poems
- Provide cited evidence from the poems themselves.

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