Statistics - Hypothesis Testing Projects

Suppose that the administrator of a multi-institutional arrangement is interested in the average length

  1. Suppose that the administrator of a multi-institutional arrangement is interested in the average length of patient stay associated with four of the organization’s hospitals, represented by H1, H2, H3, and H4
    Discuss the type of test statistic the administrator needs to use in order to determine any significant differences in the average length of patient stay in H1, H2, H3, and H4. In addition, identify the variable of interest and explain the reasoning for using the selected test statistic for hypothesis testing, formulate the hypothesis and state the assumptions for using the selected test statistic. Assume that the values of length of patient stay are normally distributed.
  2. On average, the poor travel 20 miles for outpatient care in rural areas. A researcher wishes to test this claim. She selects a sample of 100 patients from low socioeconomic status (based on income and education) and finds the mean of the sample to be 25 miles, with a standard deviation of 2 miles. Is there sufficient evidence to support the claim at alpha = 0.05? Use the P-value method. Provide an interpretation of your results.
    Use the following to answer questions 3 through 5
    Lucy Baker is analyzing demographic characteristics of two health clinics located in different urban areas– Lawrence Walk In Clinic and HnoVA . Her staff analyzed the age of patients and produced the following table using Excel.
    Lawrence Walk In HnoVA
    Mean 44.64197531 34.98765
    Standard Error 1.111015085 0.519524
    Median 46 35
    Mode 54 35
    Standard Deviation 9.999135765 4.675719
    Sample Variance 99.98271605 21.86235
    Range 42 24
    Minimum 21 22
    Maximum 63 46
    Sum 3616 2834
    Count 81 81
    t-test 2.89
    p-value 0.002
  3. What sample sizes were used and what is the variable of interest?
  4. Discuss the type of test statistic that was used and state the statistical hypothesis being tested.
  5. Is there a statistically significant difference at 0.05 in the average age of the patients in the two clinics? State your conclusion.
    Use the following to answer questions 6 and 7
    An insurance company is trying to determine if there is a significant difference in the average number of sick days that registered nurses and nurse practitioners use per year. The data analysis provided the following output.
    Two sample T for registered nurses vs nurse practitioners
    N Mean StDev SE Mean
    Registered nurses 180 10.5 10.0 0.74
    Nurse practitioners 180 13.2 4.68 0.35
    T-Test mu registered nurses = mu nurse pract: T = 1.12 P-value = 0.89
  6. Provide an interpretation of the descriptive statistics as displayed in the above output.
  7. Is there a statistically significant difference at 0.05 in the average number of sick days used by these two different groups of nurses? State your conclusion.
    Use the following to answer questions 8 through 10
    An insurance company is trying to estimate the average number of sick days that full-time food-service workers use per year. They would like to develop a model to predict the average number of sick days based on whether any children between the ages of 4 and 12 years old reside at home with them.
  8. What statistical tool would you use to build a model that predicts the average number of sick days based on the number of children residing at home?
  9. What are the dependent and independent variables?
    Dependent:_______ ___________
    Independent:____ _______
  10. Here is the regression equation (i.e., the estimated model):
    Y = 3.996 + 0.358X
    If a food service-worker has 3 children, what is the predicted average number of sick days OR on average how many sick days should the insurance company expect for this employee?
  11. Suppose that a health plan asserts that a patient hospitalized with coronary heart disease requires on average 6.5 days of hospital care. However, we believe that the average stay of 6.5 days is too low. To examine the claim of the health plan, we collected data of 40 patients who were hospitalized recently with coronary heart disease and found the average stay to be 8 days with a standard deviation of 3 days. Can you conclude at alpha = 0.05 that indeed the average time is greater than 6.5 days? (use the p-value method or the rejection region method).
  12. Suppose that the correlation between the number of hours a person exercises and the amount of a milk a person consumes per week is r = 0.897. Test the significance of the correlation coefficient found based on 6 people at alpha=0.05. (HINT: similar to the example covered in lecture notes "correlation & regression").
    Use the following to answer questions 13 through 15
    Suppose that we wish to evaluate the performance of 3 lab technicians and measure the amount of time each required to perform a given procedure. Data are collected and the analysis yielded the following ANOVA table.
    Source of Variation SS df MS F p-value
    Between Groups 68102.33 2 0.02
    Within Groups 29177.67 15
    Total 97280 17
  13. Find the MS for between and within groups and the value of the F-statistic (complete the ANOVA table).
  14. State the null and alternative hypothesis.
  15. At alpha=0.05, can you reject the null hypothesis and why? What can you conclude based on the analysis?
  16. For a given hypothesis test, if we do not reject Ho when Ho in reality is false.
  1. No error has been committed.
  2. Type I error has been committed.
  3. Type II error has been committed.
  4. Type III error has been committed.
Price: $28.72
Solution: The downloadable solution consists of 12 pages, 1672 words and 12 charts.
Deliverable: Word Document



∴ Other downloads you may be interested in ∴

log in to your account

Forgot password?
Don't have a membership account?
REGISTER

reset password

Back to
log in

sign up

Back to
log in