Questions
Iron-deficiency anemia is the most common form of malnutrition in developing countries, affecting about 50% of...

Iron-deficiency anemia is the most common form of malnutrition in developing countries, affecting about 50% of children and women and 25% of men. Iron pots for cooking foods had traditionally been used in many of these countries, but they have been largely replaced by aluminum pots, which are cheaper and lighter. Some research has suggested that food cooked in iron pots will contain more iron than food cooked in other types of pots. One study designed to investigate this issue compared the iron content of some Ethiopian foods cooked in aluminum, clay, and iron pots. Foods considered were yesiga wet', beef cut into small pieces and prepared with several Ethiopian spices; shiro wet', a legume-based mixture of chickpea flour and Ethiopian spiced pepper; and ye-atkilt allych'a, a lightly spiced vegetable casserole. Four samples of each food were cooked in each type of pot. The iron in the food is measured in milligrams of iron per 100 grams of cooked food. The data are shown in the table below.

Iron Content (mg/100 g) of Food Cooked in Different Pots
Type of pot Meat Legumes Vegetables
Aluminum 1.77 2.36 1.96 2.14 2.40 2.17 2.41 2.34 1.03 1.53 1.07 1.30
Clay 2.27 1.28 2.48 2.68 2.41 2.43 2.57 2.48 1.55 0.79 1.68 1.82
Iron 5.27 5.17 4.06 4.22 3.69 3.43 3.84 3.72 2.45 2.99 2.80 2.92

(a) Make a table giving the sample size, mean, and standard deviation for each type of pot. Is it reasonable to pool the variances? Although the standard deviations vary more than we would like, this is partially due to the small sample sizes, and we will proceed with the analysis of variance.

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(b) Plot the means. Give a short summary of how the iron content of foods depends upon the cooking pot.

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(c) Run the analysis of variance. Give the ANOVA table, the F statistics with degrees of freedom and P-values, and your conclusions regarding the hypotheses about main effects and interactions.

In: Math

I need to time series plot the following data. I am confused since there are multiple...

I need to time series plot the following data. I am confused since there are multiple sections (441, 442, 443, 444, 445, 452, 4521. This is just two years worth of the data.

Year Month Period 441 442,443 444 445 448 452 4521
1992 Jan 1 1.84 1.85 1.83 0.88 2.58 2.39 2.60
1992 Feb 2 1.83 1.85 1.83 0.89 2.62 2.34 2.53
1992 Mar 3 1.87 1.90 1.83 0.88 2.63 2.35 2.53
1992 April 4 1.89 1.91 1.91 0.89 2.60 2.37 2.56
1992 May 5 1.88 1.93 1.88 0.89 2.64 2.33 2.50
1992 June 6 1.88 1.90 1.90 0.89 2.61 2.37 2.54
1992 July 7 1.94 1.90 1.92 0.88 2.63 2.43 2.62
1992 Aug 8 1.95 1.92 1.90 0.87 2.62 2.36 2.54
1992 Sept 9 1.88 1.92 1.90 0.88 2.59 2.36 2.54
1992 Oct 10 1.87 1.90 1.91 0.88 2.59 2.36 2.54
1992 Nov 11 1.89 1.93 1.93 0.88 2.66 2.33 2.52
1992 Dec 12 1.91 2.00 1.90 0.88 2.65 2.27 2.47
1993 Jan 13 1.84 1.91 1.89 0.88 2.62 2.37 2.55
1993 Feb 14 1.92 1.94 1.89 0.88 2.73 2.41 2.62
1993 Mar 15 2.00 1.97 1.94 0.89 2.80 2.47 2.69
1993 April 16 1.86 1.94 1.90 0.89 2.71 2.41 2.61
1993 May 17 1.83 1.93 1.85 0.89 2.69 2.39 2.60
1993 June 18 1.85 1.96 1.87 0.89 2.69 2.39 2.59
1993 July 19 1.80 1.93 1.86 0.88 2.66 2.36 2.56
1993 Aug 20 1.76 1.95 1.86 0.88 2.70 2.37 2.56
1993 Sept 21 1.80 1.95 1.88 0.88 2.67 2.36 2.56
1993 Oct 22 1.79 1.94 1.87 0.88 2.67 2.34 2.53
1993 Nov 23 1.77 1.95 1.82 0.87 2.69 2.35 2.54
1993 Dec 24 1.76 2.02 1.80 0.87 2.69 2.33 2.53

In: Math

a data set mean 14 and standard deviation 2. Approximately 68% of the observations lie between...

a data set mean 14 and standard deviation 2. Approximately 68% of the observations lie between ____ and _____

In: Math

Suppose a bucket contains one white and one black ball. We pick out a ball equally...

Suppose a bucket contains one white and one black ball. We pick out a ball equally likely at random and then put the ball back along with another of the same color. Then we repeat. What is the probability that the first time we pick a white ball is after the ith iteration?

In: Math

Calculate the mean and standard deviation and interpret your findings for the following set of data...

Calculate the mean and standard deviation and interpret your findings for the following set of data showing the diastolic blood pressure measurements for a sample of 9 individuals: 61, 63, 64, 69, 71, 77, 80, 81, and 95. On average, the average distance of an individual data point is approximately 10.93 diastolic pressure points from the mean diastolic pressure of 73.44. On average, the average distance of an individual data point is approximately 119.53 diastolic pressure points from the mean diastolic pressure of 73.44. On average, the average distance of an individual data point is approximately 10.93 diastolic pressure points from the mean diastolic pressure of 71. On average, the average distance of an individual data point is approximately 119.53 diastolic pressure points from the mean diastolic pressure of 71.

In: Math

Flu Vaccine: The Center for Disease Control (CDC) claims that the flu vaccine is effective in...

Flu Vaccine: The Center for Disease Control (CDC) claims that the flu vaccine is effective in reducing the probability of getting the flu. They conduct a trial on 3000 people. The results are summarized in the contingency table below.

Observed Frequencies: Oi's

Got No
Vaccine Vaccine Totals
Got Flu 36 27 63
No Flu 2064 873 2937
Totals 2100 900 3000

The Test: Test for a dependent relationship between getting the vaccine and getting the flu. Conduct this test at the 0.01 significance level.

(a) What is the null hypothesis for this test?

H0: Getting the flu vaccine and getting the flu are independent variables.

H0: Getting the flu vaccine helps prevent the flu.     

H0: Getting the flu vaccine and getting the flu are dependent variables.


(b) What is the value of the test statistic? Round to 3 decimal places unless your software automatically rounds to 2 decimal places.

χ2= ?

(c) Use software to get the P-value of the test statistic. Round to 4 decimal places unless your software automatically rounds to 3 decimal places.
P-value = ?

(d) What is the conclusion regarding the null hypothesis?

reject H0

fail to reject H0    


(e) Choose the appropriate concluding statement.

We have proven that getting the flu vaccine prevents the flu.

The evidence suggests that getting the flu vaccine and getting the flu are dependent variables.    

There is not enough evidence to conclude that getting the flu vaccine and getting the flu are dependent variables.

In: Math

How to do this in ti84 plus calculator in shortest possible way The annual per capita...

How to do this in ti84 plus calculator in shortest possible way

The annual per capita consumption of bottled water was 32.8 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 32.8 and a standard deviation of 10 gallons.

a. What is the probability that someone consumed more than 43 gallons of bottled​ water?

b. What is the probability that someone consumed between 30 and 40 gallons of bottled​ water?

c. What is the probability that someone consumed less than 30 gallons of bottled​ water?

d. 97.5% of people consumed less than how many gallons of bottled​ water?

In: Math

Following are age and price data for 10 randomly selected cars between 1 and 6 years...

Following are age and price data for 10 randomly selected cars between 1 and 6 years old.​ Here, x denotes​ age, in​ years, and y denotes​ price, in hundreds of dollars. Use the information to complete parts​ (a) through​ (g).

x

6

6

6

2

2

5

4

5

1

4

  

y

280

290

295

425

379

315

355

333

420

325

a. Find the regression equation for the data points.

y=__+(__)x

In: Math

Your leader wants you to evaluate the difference in cycle time between three different offices. Describe...

Your leader wants you to evaluate the difference in cycle time between three different offices. Describe the steps you would take in the evaluation in order to provide a report so the leader can take action.

In: Math

In a recent study on world​ happiness, participants were asked to evaluate their current lives on...

In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was 5.8 with a standard deviation of 2.3.

​(a) What response represents the 91st ​percentile? ​

(b) What response represents the 65th ​percentile?

​(c) What response represents the first ​quartile?

In: Math

How can one of the attributes control charts (p, np, c or u) could be used...

How can one of the attributes control charts (p, np, c or u) could be used to stabilize the process? Can you please give an example of a process from a quality perspective?

In: Math

Suppose that, on average, electricians earn approximately μ = 54, 000 dollars per year in the...

Suppose that, on average, electricians earn approximately μ = 54, 000 dollars per year in the United States. Assume that the distribution for electricians' yearly earnings is normally distributed and that the standard deviation is σ = 12, 000.

1. (3 points) What is the probability that a randomly selected electrician's salary is more than $50,000 but less than $60,000?

2. (3 points) Tax code dictates that 40% income tax is applied to the electricians whose annual income is among top 5% in the population. What is the minimum yearly earnings that will be levied by 40% tax, i.e., ?nd the constant a such that Pr{X > a} = 5%.

3. (3 points) In a sample of four electricians, what is the probability that all four electricians' salaries are more than $50,000 but less than $60,000? (Please round your answer to 4 decimal places.)

4. (3 points) In a sample of four electricians, let X ̄ be the average yearly earnings of these four electricians. What is the expectation of the average earnings, i.e., E(X ̄) =?

5. (3 points) In a sample of four electricians, let X ̄ be the average yearly earnings of these four 9electricians. What is the standard deviation of the average earnings, i.e., s.e.(X ̄ ) =?

6. (3 points) Is the average earnings among four electricians, X ̄, normally distributed or not? Please explain. (No credit if there is no explanation.)

7. (3 points) What is the probability that the average salary of four randomly selected electricians is more than $50,000 but less than $60,000, i,e, Pr{50, 000 < X ̄ < 60, 000}? (If you are able to ?nd this probability, please show your answer; if you are not able to ?nd this probability, please explain why you can not.)

8. (4 points) What is the probability that the average salary of sixteen randomly selected electricians is more than $50,000 but less than $60,000 ? (If you are able to ?nd this probability, please show your answer; if you are not able to ?nd this probability, please explain why you can not.)

In: Math

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately...

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.6 inches, and standard deviation of 3.4 inches.

A) What is the probability that a randomly chosen child has a height of less than 57.7 inches?

Answer= (Round your answer to 3 decimal places.)

B) What is the probability that a randomly chosen child has a height of more than 47.2 inches?

Answer= (Round your answer to 3 decimal places.)

In: Math

The systolic blood pressure of adults in the USA is nearly normally distributed with a mean...

The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 117 and standard deviation of 21 .

Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.

a. Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places.

%





b. If you sampled 2000 people, how many would you expect to have BP> 160? Give your answer to the nearest person. Note: I had a bit of an issue encoding rounded answers, so try rounding both up and down if there's an issue!

people





c. Stage 1 high BP is specified as systolic BP between 140 and 160. What percentage of adults in the US qualify for stage 1?

%



d. Your doctor tells you you are in the 30th percentile for blood pressure among US adults. What is your systolic BP? Round to 2 decimal places.

lbs

In: Math

In 350 words, provide a definition of levels of measurements. Then explain why they are important.

In 350 words, provide a definition of levels of measurements. Then explain why they are important.

In: Math