Final Exam – HIMS 650 Fall 2015 | Complete Solution

Q1.  Which of the words  below are typically used to describe quantitative research methods? (Select all that apply.)

A.  Subjective

B.  Objective

C.  Descriptive

D.  Numeric

E.  Random

F.  Focus is on the research subject's view

Q2:  Match the appropriate inferential statistical test to the provided definitions.

A.  t test

B.  ANOVA

C.  Chi-Square

1.  Used to test independence for more than 2 means (i.e. compares the means of more than 2 groups)

Letter:  _______

2.  Used to test the independence between 2 or more categorical variables

Letter:  _______

3.  Used to compare means of 2 groups

Letter:  _______

Q3: What is the risk of performing the t=test using pooled variance, if the variances between the 2 samples are actually unequal (i.e.. fail the F test) ?

A. Your result will only be applicable for a one-tail t-test

B. You will fail to adjust for sample size.

C. You may falsely accept or reject the null hypothesis.

Q4.  The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of developing the new ad campaign can be kept within the original budget allocation is 0.40. Assuming that the two events are independent, the probability that the cost is kept within budget and the campaign will increase sales is:    (Select the correct answer from the choices below.)

A. 0.20

B.  0.32

C.  0.40

D.  0.88

Q5.  Which variable in the following list is a categorical variable? (Select the correct answer from the choices below.)

A. Country

B.  Height

C.  Daylight Savings Time

Q6.  According to the empirical rule, if the data form a "bell-shaped curve" (normal distribution), approximately what percent of the observations will be contained within  + /- 2 standard deviations from the arithmetic mean.  (Select the correct answer from the choices below.)

A.  99.7

B.  95.0

C.  75.0

D.  68.3

Q7. You believe that  there is a relationship between  heart failure readmissions to the hospital and patients being  educated on heart fialure symptoms.  What would your null (H0) and alternative (H1) hypotheses be? (Select the correct answer from the choices below.)

A. H0: Heart failure readmissions and patient education are independent. H1: Heart failure readmissions are dependent on patient education.

B. H0: Heart failure readmissions are dependent on patient education. H1: Heart failure readmissions and patient education are independent.

Q8.  Which of the following distributions is/are discrete probability distribution(s) (select all that apply)?

A.  Normal Distribution

B.  Poisson  Distribution

C.  F Distribution

D.  Binomial Distribution

Q9. A confidence interval was used to estimate the proportion of statistics students that are males. A random sample of 115 statistics students generated the following 90% confidence interval: (0.557, 0.673). Based on the interval above, is the population proportion of males equal to 0.60?

A) Yes, and we are 90% sure of it.

B) Yes, and we are 95% sure of it.

C) Maybe. 0.60 is a believable value of the proportion based on the information given.

D) No. The proportion is 54.17%.

E) No, and we are 90% sure of it.

F) No, and we are 95% sure of it.

Q10.  This question is related to simple linear regression.  In simple linear regression, the goal is to determine if there is a linear change in the _______ variable based on  a change in the ______ variable.  The dependent variable will always be a ________ variable.  If a negative relationship is found, this means that as the independent variable _______, the dependent variable _______.

(Select the correct answer from the choices below to correctly fill in the blank words.)

A.  dependent, independent, categorical, increases, decreases

B.  independent, dependent, categorical, increases, decreases

C.  independent, dependent, categorical, decreases, increases

C.  dependent, independent, numerical, increases, decreases

D. dependent, independent, numerical, decreases, increases

E.  independent, dependent, numerical, decreases, increases

Q12. The wait times at an emergency room are given in columns A and B.

A. Generate a frequency distribution of 12 Bins for emergency room wait.  Use the =MIN() , =MAX(), and =FREQUENCY() functions.

B.Make sure the graph includes a title. Label the x and y axis.

C. Suppose a patient is selected at random.  Let A = the event the patient’s wait is between 25 and 30 minutes. Find the probability of A.

Q11. A random sample of 10 independent observations from a normally distributed population yielded the following values 151, 153, 149, 143, 147, 146, 145, 130, 160, 152.

a) Using α = .05, test the hypothesis that the true mean is 150 against the alternative that the true mean is not 150. You will calculate confidence limits to solve this problem. Show your work.

b) State the conclusion.

Q13.  Refer to the tab titled "ED Satisfaction" for data required to solve this problem. You are looking at results of patient satisfaction from 2 different hospitals in your healthcare system related to patient experience in the Emergency Department (ED).  One hundred patients from each hospital took a survey related to their satisfaction after being treated in the ED. The survey results were calculated on a scale from 0 to 10, with 10 indicating complete satisfaction. Hospitals are titled Hospital A and Hospital B. You want to know if patient satisfaction in the ED was the same or different based on the hospital.

Answer questions 1 through 3 below.

Q14.  Refer to the tab titled "Financial Data" for data required to solve this problem.  This data represents financial data associated with 4 different types of readmissions.  Use the column titled "Cause of Readmission" and the column titled "Length of Stay" to answer the following questions.

Answer questions 1 through 2 below.