bobsam1

bobsam1

Lv10

University of Oxford

17 Followers
4 Following
26 Helped

ANSWERS

Published1189

Subjects

Project Management106History55Law19Management51Music1English59Philosophy66Anthropology1Business2Marketing4Science29Electrical Engineering1Mechanical Engineering4Sociology216Geography10Nursing31Psychology69Communications33Ethics33Information Technology61Algebra16Precalculus2Engineering3Probability25Geometry7Computer Science18Accounting11Calculus5Biology42Mathematics17Statistics8Physics16Finance23Economics91Chemistry54
To find the molecular formula of Compound X from the given data, we will first...
This will help you alot, just follow my stepsThe de Broglie wavelength formula...
This will help you with more detailed explanations Cloud software development,...
Polyinstantiation is a concept in database management and information security...
Avoiding the use of specific data types like credit card numbers and personall...
A well detailed answer: Product mix efficiency refers to the optimal allocatio...
Here's a report addressing the issues pertaining to the insurance business in ...
1. Manifest and Latent Functions of a Health Club: Manifest Functions: These a...
Unspoken Rule: Shaking Hands When Meeting Someone 1. What is the unspoken rule...
A well detailed answer: To determine the equilibrium level of income in the op...
A well Detailed answer: To determine in which solution the weak acid HNO2 (nit...
A Well Detailed answer: Counter Current Mechanism: Counter current mechanism i...
(a) The research question focuses on the relationship between gender integrati...
To solve this problem, we can use the formula for the sum of a geometric serie...
Let's call the speed of the motorboat in still water "b" (in miles per hour). ...
Let's assume that one roommate takes x hours to complete the job alone, so the...
While drought conditions can have negative effects on plant growth and develop...
Carbohydrates serve several important functions in living organisms, including...
The structure of a cell can vary depending on the type of cell, but in general...
The half-life of a radioactive substance is the amount of time it takes for ha...

Standard Error of the Mean, Confidence Intervals, & The Z Test

Report the values you are using for this assignment.

HR Mean (µHR)

(one decimal)

HR Std Dev (sHR)

(two decimals)

RR Mean (µRR)

(one decimal)

RR Std Dev (sRR)

(two decimals)

90.7

6.83

12.6

1.96

Make sure these initial values have been marked correct.

Follow the rounding instructions carefully.

 

Task 1:  Standard Error of the Mean (SEM) for Different Sample Sizes

Imagine that your HR and RR data sets were very large (N=500). Calculate SEM based on the population standard deviations calculated in assignment 2, and the sample sizes given in the table. Carefully round the SEM value to 2 decimals for each calculation.

Formula: Standard Error of the Mean (SEM or sM or  )

SEM

Heart Rate

Respiratory Rate

SEM if n = 9

2.28

0.65

SEM if n = 25

1.37

0.39

SEM if n= 100

0.68

0.2

What happens to the value of the SEM as the sample size increases?

By observing the values, we can conclude that as the sample size (n) increases the standard error of the mean decreases.

Question:

Task 5: Z Test: Calculate the Z statistic (Zobt) and compare to Zcrit

*Reminder! Your data is now viewed as a sample. Use the σ given in Task 4 to calculate SEM.

1) Use 3.16 as the square root of 10 to calculate the Standard Error of the Mean.  

(You may also see SEM expressed as  sM or  )

            (SEM or sM or  ) =       Round to 2 decimals.

2) Calculate the difference between the means (sample minus population)

!! If the difference is zero, use 1.1 as the difference.

3) Calculate ZOBT using:    

 

HR

SEM

 

ZOBT

Value

 

90.7 – 81.36

 

 

zHR = 2.08

 

RR

SEM

 

ZOBT

Value

 

12.6 – 15.69

 

zRR = -2.54

 

Alpha level (α) for all test is 0.05. The Zcrit values are:

Two Tailed

-1.96 and +1.96 (or ±1.96)

One Tailed

If difference between means is negative: -1.65

If difference between means is positive: +1.65

 

4) Compare ZOBT to ZCRIT. Is ZOBT located in the Zone of Rejection? (aka the Critical Region)

Sketching a number line with critical values and zones identified helps with this.

 

        Zone of                                                                                                           Zone of

       Rejection       -----------------------------Do Not Reject---------------------------------       Rejection

 

 

 

                      -1.96                                           0                                                 1.96                                                                                                                                                                                                                                                                        

Use the same principle for the one tailed comparison. In that case there will only be one Zone of Rejection, based on whether Zcrit was positive or negative.

Task 6: Z Test: Decisions, Effect Size, and Potential Error Type

1) Answer the first two questions (Yes or No) based on what you found in Task 2.

2) Calculate effect size using Cohen’s d:   d =      (Reported as a positive value.)

(Effect size is not usually reported if the null is not rejected, but do it here just to build skills.)

3) There is always a theoretical statistical error potentially present after a hypothesis is tested. Name the potential error that must be acknowledged because of your decision.

 

HR

Two Tail

One Tail

Is your decision to Reject the Null?

 

 

Can you say the sample mean is statistically different from the population mean?

 

 

What is the effect size? (Cohen’s d)

1.59

 

What type of statistical error might be present?

 

 

 

RR

Two Tail

One Tail

Is your decision to Reject the Null?

 

 

Can you say the sample mean is statistically different from the population mean?

 

 

What is the effect size? (Cohen’s d)

 

 

What type of statistical error might be present?

 

 

 

Consult the notes for detailed information on one and two tailed tests, hypothesis construction, alpha level, critical values, Zone of Rejection, types of error, and effect size by Cohen’s d.

→ The GWFW book uses the term Z ‘score’ even when comparing means; perhaps to highlight the similarity between the formula for a Z score (with sigma ‘σ’ in the denominator) and the formula for the Z statistic (with SEM in the denominator.) At the Z test level, a statistical test for comparing means is being performed by calculating a Z statistic. When the context is clear, ‘Z value’, or just ‘Z’, could be used as a general term of reference, but you should be aware that a Z score is not the same as a Z statistic.

 

Thank you for providing the necessary information. Here are the answers to the...
Java is a high-level, general-purpose programming language that was developed ...
We can start by using the formula for simple interest: Profit = Principal x In...
Digital marketing refers to the promotion of products or services using digita...
When we have nonlinear data, we can use logarithms to transform it into a line...
C++ is a general-purpose, high-level programming language that was developed b...
To find the area of sector AOB, we need to use the formula: Area of Sector AOB...
To solve this problem, we need to use the formula for compound interest: A = P...
Since we don't have the figure, we cannot determine the exact answer. However,...
If the matatu overloads, it can carry 18+5 = 23 passengers. Let's first calcul...
It is important for an auditor to understand a client's business for several r...
Danger: The busy highway located near the family's home poses a constant threa...
Negative feedback is a regulatory mechanism that plays a crucial role in contr...
Negative feedback is a regulatory mechanism that plays a crucial role in contr...
Please rate me well if you find this helpful. Introducing the world's first au...
This is an introduction to a JavaScript tutorial for beginners. The video expl...
The dependent variable is the number of bubbles per minute because it is the v...
If the federal government did not provide school lunch programs for students f...
Type of City Government | Advantages | Disadvantages Mayor-Council (weak-mayor...
Summary of Home Rule: Home Rule is a provision in the Second Class County Char...

Weekly leaderboard

Start filling in the gaps now
Log in