What is the test statistic rounding to two decimal places

Assignment Help Basic Statistics
Reference no: EM131036224

A pilot study to evaluate the serum alpha tocopherol levels (serum vitamin E) was conducted to evaluate the toxicity among 12 people who regularly take vitamin-E supplements. The vitamin E levels for the 13 participants are listed below. lithe level of alpha tocopherol in the general population 860 μg/dL, conduct a hypothesis test to determine if those who take supplements have significantly greater levels of serum alpha tocopherol with alpha = 5% and the sample standard deviation is 487.15 μg/dL.

565         2010       1350       780         1505       1235       810         1990       1105       650         1010       1570

1. What hypothesis test is appropriate to answer this research question?

a. One-sample Z test

b. One-sample t Test

c. Matched t Test

d. Chi-Square test for association/independence

2. What is the alternative hypothesis?

a. There is no significant difference in serum alpha tocopherol levels.

b. There is a significant difference in serum alpha tocopherol levels.

c. Those who take vitamin-E supplements have significantly greater alpha tocopherol levels.

d. Those who take vitamin-E supplements have significantly lower alpha tocopherol levels.

3. What is the critical value?

a. +1.96

b. +1.7959

c. +1.645

d. +2.2010

4. What is the sample mean?

5. What is the test statistic rounding to two decimal places?

6. True or False: Fail to reject H0 as the test statistic does not fall within the rejection region.

7. What is the lower bound of the 95% confidence interval given the information above? Round to two decimal places.

8. What is the upper bound of the 95% confidence interval given the information above? Round to two decimal places.

9. Suppose the investigator of the pilot study wants to expand to a larger study to make sure 80% power is achieved. What sample size is needed to detect a difference in means of 75 given the standard deviation of 487.15?

10. What sample size is needed to ensure adequate power based on question 9 if it is suspected there will be 15% attrition?

Patients with heart failure, diabetes, cancer, and lung disease who have various infections from gram negative organisms often receive aminoglycosides. One of the side effects of aminoglycosides is nephrotoxicity (possible damage to the kidney). A study was performed comparing the nephrotoxicity (rise in serum creatinine of at least 0.5 mg/dL) for the aminoglycoside gentamicin. The following results were obtained:

 

Rise in serum creatinine (> 0.5)

No rise in serum creatinine (< 0.5)

Gentamicin (G)

44

77

No Gentamicin (G)

21

71

Test the hypotheses that there is a significant relationship between gentamicin and nephrotoxicity using a chi-square test with alpha = 5%.

11. What is the alternative hypothesis?

a. There is no association between gentamicin and nephrotoxicity

b. There is an association between gentamicin and nephrotoxicity

c. Those who take gentamicin have greater serum creatinine levels

d. Those who take gentamicin have lower serum creatinine levels

12. What is the critical value?

13. What is the expected value of those who take gentamicin and have a rise in serum creatinine? Round to two decimal places.

14. What is the expected value of those who take gentamicin and have no rise in serum creatinine? Round to two decimal places.

15. What is the expected value of those who do not take gentamicin and have a rise in serum creatinine? Round to two decimal places.

16. What is the expected value of those who do not take gentamicin and have no rise in serum creatinine? Round to two decimal places.

17. What is the test statistic? Round to two decimal places.

18. True or False: There is a significant association between gentamicin and nephrotoxicity.

19. What is the relative risk (RR) of having a rise in serum creatinine levels given a patient received gentamicin compared to not receiving gentamicin?

20. Suppose sex is suspected to be a confounder and the breakdown of gentamicin vs. creatinine levels are given below. What is the RRCMH?

Male

 

Rise in serum creatinine 0.5)

No rise in serum creatinine (<0.5)

Gentamicin (G)

15

26

No Gentamicin (G)

6

 

32

 

Female

 

Rise in serum creatinine 0.5)

No rise in serum creatinine(<0.5)

Gentamicin (G)

29

51

No Gentamicin (G)

15

39

21. True or False: Comparing RRcrude (from Q19) to RRCMH, sex does not appear to be a confounder.

The table gives the age and left ventricular ejection fraction for 15 patients with acute dilated cardiomyopathy. The mean age is 43.13 (s = 16.61) and the mean LVEF is 0.26 (s = 0.07).

Patient Number

Age

x

Left ventricular
ejection fraction
(LVEF), y

1

35

0.19

2

28

0.24

3

25

0.17

4

75

0.40

5

42

0.40

6

19

0.23

7

54

0.20

8

35

0.20

9

30

0.30

10

65

0.19

11

26

0.24

12

56

0.32

13

60

0.32

14

47

0.28

15

50

0.24

22. Calculate the sample correlation coefficient rounding to two decimal places. Note: Use the provided mean and standard deviation as a shortcut to the calculations.

23. The correlation between age and LVEF is

a. strong positive

b. moderately strong positive

c. moderate strong inverse

d. weak positive

24. What is the slope of the corresponding regression line (i.e. b1)? Round to 3 decimal places.

25. What is the y-intercept of the corresponding regression line (i.e. b0)? Round to 3 decimal places.

26. Given a 30 year-old patient with acute dilated cardiomyopathy, what is their predicted left ventricular ejection fraction? Round to 3 decimal places.

27. Suppose the investigator established the regression line that also includes race:

y = 0.146 + 0.0360xBlack =-1, White = 0+ 0-002xage

What is the predicted left ventricular ejection fraction for a black 30 year-old patient with acute dilated cardiomyopathy?

An experiment was conducted to study responses to different methods of taking insulin in patients with type I diabetes. The percentages of glycosolated hemoglobin initially and 3 months after taking insulin by nasal spray are given in the table below.

Patient Number

Before

3 Months After

1

11.0

10.2

2

7.7

7.9

3

5.9

6.5

4

9.5

10.4

5

8.7

8.8

6

8.6

9.0

7

11.0

9.5

8

6.9

7.6

Conduct a two-sided Wilcoxon Sign Rank Test with alpha = 5% to determine if there is a significant difference in glycosolated hemoglobin after taking insulin by nasal spray.

28. What is the critical value?

29. What is the sum of the positive ranks (i.e. W+)?

30. What is the sum of the absolute value of negative ranks (i.e. W-)?

31. What is the test statistic?

32. True or False: There is no significant difference in glycosolated hemoglobin in patients 3 months after taking insulin by nasal spray.

33. The ANOVA Post Hoc Analyses article discusses the liberality of the variety of the post hoc tests once a significant difference has been found after conducting an ANOVA. What does being a "liberal" test mean?

a. Likely to result in a Type II error

b. Lower power is adequate to conduct the post hoc

c. Likely to result in a Type I error

d. Smaller sample size is adequate to conduct the post hoc

34. What post hoc analysis mentioned in the paper is the most liberal?

a. Tukey-Kramer HSD

b. Fisher PLSD

c. Scheffe

d. SNK

Verified Expert

The assignment has been done in Microsoft word. The values have been calculated using the formulas and Microsoft Excel. The annova tests has also been conducted.

Reference no: EM131036224

Questions Cloud

Project management plan : Thank you for your comprehensive due diligence report setting out the strategy, costs, and timing of AIPM's 40th Anniversary Event. It is with pleasure that we advise your organisation of our intention to proceed with Stage 2 - Project Delivery. ..
Pricing strategy-sales digital and direct marketing : Discuss why it is important to consider pricing from a strategic rather than a tactical perspective.
Calculate the ratio of the initial to final speed of sound : Air expands isentropically from 1.5 MPa and 60°C to 0.4 MPa
Horinman horticulture : 1. Do you agree with Maggie Brown's accounts-payable policy? 2. What do you expect the financial position of the business to be in 2006? Extend the financial statements through 2006, assuming that Bob Brown grows revenue by 30%.
What is the test statistic rounding to two decimal places : What is the sample mean? What is the test statistic rounding to two decimal places? True or False: Fail to reject H0 as the test statistic does not fall within the rejection region
Determine the critical temperature : Determine the critical temperature, pressure, and density for stagnation temperature and pressure of 800 K and 500 kPa
Critical evaluation of the meeting : You should specifically critically evaluate the meeting in terms of the political dynamics of the meeting. You are expected to attend at least 90 minutes of the meeting. If the meeting is shorter you must attend another one. Document this, if this..
Calculate and plot the mach number along the nozzle : Also, calculate and plot the Mach number along the nozzle.
Determine the rate of cooling of air : The inlet conditions are Ma1= 1.2, T01= 350 K, and P01 =240 kPa and the exit Mach number is Ma2= 2.0. Disregarding frictional effects, determine the rate of cooling of air.

Reviews

Write a Review

Basic Statistics Questions & Answers

  Statistics-probability assignment

MATH1550H: Assignment:  Question:  A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..

  What is the least number

MATH1550H: Assignment:  Question:     what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?

  Determine the value of k

MATH1550H: Assignment:  Question:     Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form

  What is the probability

MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?

  Binomial distributions

MATH1550H: Assignment:  Questions:  Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.

  Caselet on mcdonald’s vs. burger king - waiting time

Caselet on McDonald’s vs. Burger King - Waiting time

  Generate descriptive statistics

Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.

  Sampling variability and standard error

Problems on Sampling Variability and Standard Error and Confidence Intervals

  Estimate the population mean

Estimate the population mean

  Conduct a marketing experiment

Conduct a marketing experiment in which students are to taste one of two different brands of soft drink

  Find out the probability

Find out the probability

  Linear programming models

LINEAR PROGRAMMING MODELS

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd