Statistics assignment

I’m working on a Statistics exercise and need support.

  1. Medical: Blood Protoplasm Porphyrin is a pigment in the blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy adults, x is approximately normally distributed with mean pastedGraphic.pngand standard deviation pastedGraphic_1.png. What is the probability that 20 healthy adults will have an average porphyrin levelpastedGraphic_2.png
  1. less than34?
  1. greater than 42?
  1. between34 and 42?

2.) Totals instead of Averages: Airplane Takeoff Time The taxi and takeoff time for commercial jets is a random variablex with a mean of 8.5 minutes and a standard deviation of 2.5 minutes. Assume that the distribution of taxi times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after another, and that they take off one at a time on a given runway. What is the probability that for 10 jets on a given runway, total taxi and take off time will be

a.)less than 70 minutes? *Hint: Either multiply pastedGraphic_3.pngand pastedGraphic_4.png by the sample size nor dividepastedGraphic_2.pngby n.

b.) more than 2 hours?

Confidence Intervals

3.)Profits: Retail Jobs and productivity! How do retail stores rate? One way to answer this question is to examine annual profits per employee. The following data give annual profits per employee (in units of one thousand dollars per employee) for companies in retail sales. Assume pastedGraphic_5.png thousand dollars.

4.4 6.5 4.2 8.9 8.7 8.1 6.1 6.0 2.6 2.9 8.1 -1.9

11.9 8.2 6.4 4.7 5.5 4.8 3.0 4.3 -6.0 1.5 2.9 4.8

-1.7 9.4 5.5 5.8 4.7 6.2 15.0 4.1 3.7 5.1 4.2

  1. Calculate the mean.
  1. Let us say that the preceding data are representative of the entire sector of retail sales companies. Find an 80% confidence interval forpastedGraphic_3.png, the average annual profit per employee for retail sales.
  1. Interpretation: Let us say that you are the manager of a retail store with a large number of employees. Suppose the annual profits per employee are less than 3 thousand dollars per employee. Do you think this might be low compared with other retail stores? Explain by referring to the confidence interval you computed in part b.

Hypothesis Testing

4.) Matches: Number per Box A match company sells matchboxes that are supposed to have an average of 40 matches per box, with a standard deviation of 9. A random sample of 94 of the company’s matchboxes gives an average of 43.1 matches per box. Using a 1% level of significance, can you say that the average number of matches in the box is more than 40?

5.) The National Center for Health Statistics reports that the systolic blood pressure for males 35 to 44 years of age has a mean 128 and a standard deviation 15. The medical director of a large company looks at the medical records of 72 executives in this age group and finds that the mean systolic blood pressure in this sample is pastedGraphic_6.pngIs this evidence that the company’s executives have a different mean blood pressure from the general population? Suppose that we know that blood pressures follow a Normal distribution with standard deviation pastedGraphic_7.png. Use a significance level of pastedGraphic_8.png.

6.) Medical : Red Blood Cell Volume Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell mean is about pastedGraphic_9.png ml/kg. Red Blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the results were

32 25 41 35 30 37 29

The sample mean is pastedGraphic_10.pngml/kg. Let x be a random variable that represents Roger’s red blood cell volume. Assume that x has a normal distribution and pastedGraphic_11.png. Do the data indicate that Roger’s red blood cell volume is different (either way) from pastedGraphic_9.pngml/kg? Use a 0.01 level of significance.

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Statistics assignment

I’m working on a Statistics exercise and need support.

  1. Medical: Blood Protoplasm Porphyrin is a pigment in the blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy adults, x is approximately normally distributed with mean pastedGraphic.pngand standard deviation pastedGraphic_1.png. What is the probability that 20 healthy adults will have an average porphyrin levelpastedGraphic_2.png
  1. less than34?
  1. greater than 42?
  1. between34 and 42?

2.) Totals instead of Averages: Airplane Takeoff Time The taxi and takeoff time for commercial jets is a random variablex with a mean of 8.5 minutes and a standard deviation of 2.5 minutes. Assume that the distribution of taxi times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after another, and that they take off one at a time on a given runway. What is the probability that for 10 jets on a given runway, total taxi and take off time will be

a.)less than 70 minutes? *Hint: Either multiply pastedGraphic_3.pngand pastedGraphic_4.png by the sample size nor dividepastedGraphic_2.pngby n.

b.) more than 2 hours?

Confidence Intervals

3.)Profits: Retail Jobs and productivity! How do retail stores rate? One way to answer this question is to examine annual profits per employee. The following data give annual profits per employee (in units of one thousand dollars per employee) for companies in retail sales. Assume pastedGraphic_5.png thousand dollars.

4.4 6.5 4.2 8.9 8.7 8.1 6.1 6.0 2.6 2.9 8.1 -1.9

11.9 8.2 6.4 4.7 5.5 4.8 3.0 4.3 -6.0 1.5 2.9 4.8

-1.7 9.4 5.5 5.8 4.7 6.2 15.0 4.1 3.7 5.1 4.2

  1. Calculate the mean.
  1. Let us say that the preceding data are representative of the entire sector of retail sales companies. Find an 80% confidence interval forpastedGraphic_3.png, the average annual profit per employee for retail sales.
  1. Interpretation: Let us say that you are the manager of a retail store with a large number of employees. Suppose the annual profits per employee are less than 3 thousand dollars per employee. Do you think this might be low compared with other retail stores? Explain by referring to the confidence interval you computed in part b.

Hypothesis Testing

4.) Matches: Number per Box A match company sells matchboxes that are supposed to have an average of 40 matches per box, with a standard deviation of 9. A random sample of 94 of the company’s matchboxes gives an average of 43.1 matches per box. Using a 1% level of significance, can you say that the average number of matches in the box is more than 40?

5.) The National Center for Health Statistics reports that the systolic blood pressure for males 35 to 44 years of age has a mean 128 and a standard deviation 15. The medical director of a large company looks at the medical records of 72 executives in this age group and finds that the mean systolic blood pressure in this sample is pastedGraphic_6.pngIs this evidence that the company’s executives have a different mean blood pressure from the general population? Suppose that we know that blood pressures follow a Normal distribution with standard deviation pastedGraphic_7.png. Use a significance level of pastedGraphic_8.png.

6.) Medical : Red Blood Cell Volume Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell mean is about pastedGraphic_9.png ml/kg. Red Blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the results were

32 25 41 35 30 37 29

The sample mean is pastedGraphic_10.pngml/kg. Let x be a random variable that represents Roger’s red blood cell volume. Assume that x has a normal distribution and pastedGraphic_11.png. Do the data indicate that Roger’s red blood cell volume is different (either way) from pastedGraphic_9.pngml/kg? Use a 0.01 level of significance.

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Statistics Assignment

Complete Part 1 of the Inferential Research and Statistics Project.

Use the provided data set to complete Part 1.

Inferential Research and Statistics Project

Part 1

Select one of the following scenarios based on your particular field of interest in psychology:

·         Industrial/Organizational Psychology:

o    A few months ago, the upper management at a large corporation decided they wanted to make major changes in the organization. Leadership is concerned that employees may be resistant to the change, and they want to find out if there is a change management method that would help employees accept change more effectively and keep employee satisfaction high. Two methods they have considered are the ADKAR Framework and the Prosci Change Management Methodology. The company wants to implement a small change in two departments before they make any major organization changes and would like to test the methods. The corporation uses the Devine Company to measure employee satisfaction with an anonymous survey.

·         Applied Psychology:

o    A large medical facility is experiencing too many missed appointments in its primary and specialty care clinics. The facility has noticed that not all patients respond well to reminder calls regarding follow-up appointments. Some patients do not answer calls and do not seem to respond to voice mail requesting they call the facility. The result is that many follow up appointments are missed. Management has read articles that people respond very well to text messages and would like to see which method provides the least amount of missed appointments. Missed appointments are tracked in the facility database on a monthly basis.

·         General Psychology:

o    Clinicians at a small clinic have been introduced to a new method to treat post-traumatic stress disorder (PTSD) in their clients for veterans. Research indicates that virtual reality (VR) is a highly effective treatment option for patients with PTSD. Currently, the clinic uses only cognitive processing therapy (CPT) with their patients suffering from PTSD. The clinicians would like to find out whether VR therapy has different results from CPT therapy. The measure used by the clinic to measure PTSD symptoms is the Combat Exposure Scale. Both therapies need to be applied for a minimum of 12 weeks to be effective.

Write a 525- to 750-word paper that addresses the following for your chosen scenario:

·         Clearly define the problem or issue you are addressing. Provide a brief background of any research you have found that might affect your research hypothesis.

·         Create a research hypothesis based on the information provided in each scenario. You have been given a data set (Excel document) with two sets of interval data (just the numbers, as you must decide what they represent, such as method A results or method B results). This means you are going to test one thing against another, such as which method works best (step 1 of the steps to hypothesis testing). State the null and research hypotheses. Explain whether these hypotheses require a one-tailed test or two-tailed test, and explain your rationale.

·         Describe the sample you will use. Sample size will be 30 for each group, which are provided in your data set. Explain what type of sampling you selected.

·         Do you think you would also collect some descriptive data, such as gender, age, or shift? Why do you think it makes sense to collect descriptive data?

Format your paper according to APA guidelines.

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Statistics Assignment

Complete Part 1 of the Inferential Research and Statistics Project.

Use the provided data set to complete Part 1.

Inferential Research and Statistics Project

Part 1

Select one of the following scenarios based on your particular field of interest in psychology:

·         Industrial/Organizational Psychology:

o    A few months ago, the upper management at a large corporation decided they wanted to make major changes in the organization. Leadership is concerned that employees may be resistant to the change, and they want to find out if there is a change management method that would help employees accept change more effectively and keep employee satisfaction high. Two methods they have considered are the ADKAR Framework and the Prosci Change Management Methodology. The company wants to implement a small change in two departments before they make any major organization changes and would like to test the methods. The corporation uses the Devine Company to measure employee satisfaction with an anonymous survey.

·         Applied Psychology:

o    A large medical facility is experiencing too many missed appointments in its primary and specialty care clinics. The facility has noticed that not all patients respond well to reminder calls regarding follow-up appointments. Some patients do not answer calls and do not seem to respond to voice mail requesting they call the facility. The result is that many follow up appointments are missed. Management has read articles that people respond very well to text messages and would like to see which method provides the least amount of missed appointments. Missed appointments are tracked in the facility database on a monthly basis.

·         General Psychology:

o    Clinicians at a small clinic have been introduced to a new method to treat post-traumatic stress disorder (PTSD) in their clients for veterans. Research indicates that virtual reality (VR) is a highly effective treatment option for patients with PTSD. Currently, the clinic uses only cognitive processing therapy (CPT) with their patients suffering from PTSD. The clinicians would like to find out whether VR therapy has different results from CPT therapy. The measure used by the clinic to measure PTSD symptoms is the Combat Exposure Scale. Both therapies need to be applied for a minimum of 12 weeks to be effective.

Write a 525- to 750-word paper that addresses the following for your chosen scenario:

·         Clearly define the problem or issue you are addressing. Provide a brief background of any research you have found that might affect your research hypothesis.

·         Create a research hypothesis based on the information provided in each scenario. You have been given a data set (Excel document) with two sets of interval data (just the numbers, as you must decide what they represent, such as method A results or method B results). This means you are going to test one thing against another, such as which method works best (step 1 of the steps to hypothesis testing). State the null and research hypotheses. Explain whether these hypotheses require a one-tailed test or two-tailed test, and explain your rationale.

·         Describe the sample you will use. Sample size will be 30 for each group, which are provided in your data set. Explain what type of sampling you selected.

·         Do you think you would also collect some descriptive data, such as gender, age, or shift? Why do you think it makes sense to collect descriptive data?

Format your paper according to APA guidelines.

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