Researchers studied the length of hospital stay for the elderly patients in a psychiatric ward in...

Researchers studied the length of hospital stay for the elderly patients in a psychiatric ward in one of Phoenix hospitals. Their conclusion was that the mean length of hospital stay for all these patients was 26 days. The distribution was normal. Concerned citizens watch group want to verify the length of hospital stay by estimating it using a random sample of 40 patients. The mean length of hospital stay for this sample of patients is 23. Assume the length of hospital stay is normally distributed and the population standard deviation is 8.3 days. Do we have evidence at 5% significance level that mean length hospital stay for the elderly patients in a psychiatric ward in one of Phoenix hospitals differs from what researchers concluded?

1.Formulate null and alternative hypotheses, use proper notation.

2.Compute the appropriate test statistics.

3.Give the rejection region for your test, include appropriate sketch, marking critical value(s), and clearly label rejection and non-rejection areas.

4.Compute a p-value for your test.

5.State the conclusion of your test (reject or fail to reject H0).

6.Interpret the conclusion in context. Use complete sentences.

7.Find the power of the test, probability of committing the Type I error, and probability of committing the Type II error if the true mean length of hospital stay is 25 days.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

In a population survey of patients in a rehabilitation hospital, the mean length of stay in...

In a population survey of patients in a rehabilitation hospital, the mean length of stay in the hospital was 12.0 weeks with a standard deviation equal to 1.0 week. The distribution was normally distributed. What is the percentile rank for each of the following z scores? Enter the percentile rank to the right of each z score. Assume a normal distribution. a) 1.23 _____ b) 0.89 ______ c) -0.46 _____ d) -1.00 ______

You are a clinician in the psychiatric ward of the local hospital. A patient is refusing...

You are a clinician in the psychiatric ward of the local hospital. A patient is refusing medication. Before medicating against his will, the likely next step, the actiing psychiatrist has asked that a therapist meet with the individual in a last ditch effort for them to take the medication voluntarily. You are that therapist and you are given the brief note found below before entering the room to speak with the patient. How might you address Mr. Johns? _______________________ Mr....

The length of stay (in days) from 100 randomly selected hospital patients are presented in the...

The length of stay (in days) from 100 randomly selected hospital patients are presented in the table below. Suppose we want to test the hypothesis that the population mean length of stay at the hospital is less than 5 days. Conduct hypothesis using =.05. 2 3 8 6 4 4 6 4 2 5 8 10 4 4 4 2 1 3 2 10 1 3 2 3 4 3 5 2 4 1 2 9 1 7 17...

24. A hospital would like to determine the mean length of stay for its stroke patients....

24. A hospital would like to determine the mean length of stay for its stroke patients. They observe a random sample of 6 patients, the resulting length of stay of stroke patients are: 6, 7, 5, 8, 11, 2 (in days) Suppose the true length of stay follows normal distribution, a 95% confidence interval for population mean is ____. (4 decimal places) Use the information to answer Q25-27 A 98% confidence interval for the mean number of credit hours that...

A young phlebotomist is assigned to collect blood samples from the psychiatric ward at the hospital...

A young phlebotomist is assigned to collect blood samples from the psychiatric ward at the hospital where she works. The usual procedure before entering a patient’s room is to verify with the nursing staff that all patients on the collection list are stable enough to undergo a phlebotomy procedure. The young phlebotomist is told that all patients are fine on this particular day. Therefore, she enters the room of a physically large and tall woman. The woman seems receptive and...

Question: To what extent does gender influence length of hospital stay for MI patients ? Information...

Question: To what extent does gender influence length of hospital stay for MI patients ? Information on data set Which variables are you investigating? ID Length of hospital stay Gender What is the type of each variable? Numeric/Qualitative Quantitative Normal List the descriptive stats you will run on the data. Distribution Central Tendencies: Mean, Std, Dev, Mode, Median, Min, Max etc. What does each calculation tell you about the data? 65 Males, 35 Females The average LOS for males =...

what are some recommendation to treat drug and substance abuse among in-patients at the psychiatric ward

A hospital conducted a survey to estimate the mean length of stay at the hospital. a...

A hospital conducted a survey to estimate the mean length of stay at the hospital. a simple random sample of 100 patients resulted in a sample mean of 4.5 days. the population standard deviation is 4 days. a) Calculate a 90% confidence interval. b)Interpret the results of your confidence interval.

The surgical ward at a public hospital was having an outbreak of diarrheal illness. The patients...

The surgical ward at a public hospital was having an outbreak of diarrheal illness. The patients with the illness had all had surgery and were taking antibiotics as preventative measure to prevent infection. Symptoms of the disease cramping, numerous bloody stools and inflammation of the colon. A Gram positive, endospore forming bacillus was isolated from 25 patients. Three of these patients died. a. What was the probable “etiological” agent (pathogen)? b. What is the most likely source of his infection,...

The average length of a maternity stay in a U.S. hospital is 2.2 days with a...

The average length of a maternity stay in a U.S. hospital is 2.2 days with a standard deviation of 0.6 days. A sample of 25 women who recently gave birth is taken. Find the probability that the sample mean is greater than 2.4 days. Round your answer to the nearest hundredth.

Subjects