1. (10 marks) A knee surgeon collected data on the post-operative hemoglobin levels (in g/dL) of...

Question

1. (10 marks) A knee surgeon collected data on the post-operative hemoglobin levels (in g/dL) of 102 patients who had total knee replacements. He randomly assigned half of the patients to receive a closed suction drain and half to receive no drain. Of interest is whether post operative hemoglobin levels, on average, differed between the drain and no drain groups The data are available in the file knee.csv. (2 marks) What are the null and alternative hypotheses? b. (1 mark) What is the value of the test statistic? c. ( mark) What is the approximate p-value? d. (2 marks) Using a significance level of a = 0.05, state your conclusions in the language of the problem a key assumptions required for the validity of your hypothesis test e. (4 marks) Describe two and explain why they are reasonable in this setting &#34;hemoglobin&#34;, &#34;group&#34; 8.4, &#34;drain&#34; 8.7,&#34;drain&#34; 10.7,&#34;drain&#34; 9.1, &#34;drain&#34; 9.1, &#34;drain&#34; 10.9, &#34;drain&#34; 9.5, &#34;drain&#34; 7.6, &#34;drain&#34; 8.2, &#34;drain&#34; 8.5, &#34;drain&#34; 10.3, &#34;drain&#34; 9.4, &#34;drain&#34; 9.4, &#34;drain&#34; 9.1, &#34;drain&#34; 8.4, &#34;drain&#34; 11, &#34;drain&#34; 9.5, &#34;drain&#34; 6.8, &#34;drain&#34; 9.8, &#34;drain&#34; 8.5, &#34;drain&#34; 7.8, &#34;drain&#34; 8.8, &#34;drain 7.9, &#34;drain n! 8.3,&#34;drain&#34; 7.1, &#34;drain&#34; 9.9,&#34;drain&#34; 9.2, &#34;dr 7.7, &#34;drain&#34; 10.4, &#34;drai 9.5 aran n&#34; 10,&#34;drain&#34; 10, &#34;drain&#34; 9.9,&#34;drain&#34; 9.8, &#34;drain&#34; 9.6, &#34;drain&#34; 8.9, &#34;drain&#34; 8.7,&#34;drain&#34; 8.6, &#34;drain&#34; 8.2, &#34;drain&#34; 8.8, &#34;drain&#34; 7.6,&#34;drain&#34; 11.4, &#34;drain&#34; 10.3, &#34;drain&#34; 7.8, &#34;drain&#34; 8.6, &#34;drain&#34; 8.5, &#34;drain&#34; 9.9, &#34;drain&#34; 8.9, &#34;drain&#34; 9.3, &#34;drain&#34; 9.1, &#34;no.drain&#34; 9.1, &#34;no.drain&#34; 10.6, &#34;no.drain &#34; 8.9, &#34;no.drain' 10.8, &#34;no.drain&#34; 7.4, &#34;no.drain&#34; 9.7,&#34;no.drain&#34; 9.2, &#34;no.drain&#34; 9.3, &#34;no.drain&#34; 9.5, &#34;no.drain &#34; 8.5, &#34;no.drain &#34; 8.7,&#34;no.drain &#34;

 · Answer

Here we are to understand whether on an average post operative hemoglobin levels differed between drain and no drain groups.

a) we have;

$HO: M1-M2 = 0$

$Η :μι - μ2 40$

as our null and alternative hypothesis respectively, where $\mu _{1},\mu _{2}$ are the population means of post operative hemoglobin for drain and no drain groups.

b) The test statistic is given by,

$(X1 – X2) – (41 – 12)$

c) since the sample size is large by CLT the test statistic follows z test.

the p-value is given by- $P(:<T)$ from the Z table and then multiply it with 2 since this is a two sided test.

d) at significance level of 0.05 the critical value is 1.96.

if the p value is less than 0.05 then we reject the null hypothesis.

e) we assume that $q; = q;$ since the variance is unknown. this is known as the assumption of homoscelasticity.

Because of the large samples, the central limit theorem permits calculation of the z score as opposed to using t. The z score is calculated using the given sample standard deviations.
If the assumptions are correct and $H_{0}$ is true, the test statistic is approximately normally distributed.

.

1. (10 marks) A knee surgeon collected data on the post-operative hemoglobin levels (in g/dL) of...

Question:

Answers

Similar Solved Questions

( Payback period Calculations) You are considering three independent projects, project A, project B, and project...

Using MATLAB, The following data is given: 13 14 15 15 2 10 12 (a) Use...

Psychrometric Chart and Evaporative Cooling: Air at 95F (35C) and 20% RH is moved through an evaporative cooling pad on a warehouse; assume you can achieve 75% evaporative cooling efficiency. What is...

Resistors in Series and Parallel 1 of 9 RAVAW Constanta Learning Goal: To find the equivalent...

Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand s...

A $1,000 par value 14-year bond with a 10 percent coupon rate (paid once per year)...

We were unable to transcribe this imagePractice Question 05 Which of the following structures could be...

Ents of $ 1 00 and me Ribeiro Manufacturing Company has four operating divisions. During the...

1. [10 points) For the following sets of two-dimensional points, (1) draw a sketch of how they wo...

Please solve it using c++ coding Write a C++ program that outputs a table having four...

Using the 3-point curved line drawing tool, show the effect of a decline in the euro...

On January 1, 2017, Bramble Corporation signed a 5-year noncancelable lease for a machine. The terms...

6. Calculate AE, in joules, for the reaction of one nucleus of polonium-210: 21084Po +2 'on...

1. Write the logarithmic equation in exponential form. log32 4 = 3 2. Write the exponential...

There are two carotid arteries that feed blood to the brain, one on each side of...

2. (10 points) Write the equation of the line passing through the point (2,-2) and perpendicular...