# Statistics Question

PSYC 510Z TESTS AND SINGLE SAMPLE T -TESTS ASSIGNMENT INSTRUCTIONS

OVERVIEW

This Homework: Z-Tests & Single Sample T-Tests Assignment is designed to assess your

understanding of the concepts and applications covered thus far in this course. This module

introduces two inferential tests – the z test and single sample t test; both of which are used to

determine whether a sample differs from a population. These tests are commonly used in

psychology, education, business, and other fields. This Homework: Z-Tests & Single Sample

T-Tests Assignment assesses your knowledge, skills, applications, and presentation of these

tests using professional conventions.

INSTRUCTIONS

Be sure you have reviewed this module’s Learn section before completing this Homework: ZTests & Single Sample T-Tests Assignment. This Homework: Z-Tests & Single Sample TTests Assignment is worth 60 points. Each question is worth 3 points. Six points are awarded

for mechanics/structure.

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Part I contains general concepts from this module’s Learn section.

Part II requires use of SPSS. You will have to take screen shots and/or copy and paste from

your SPSS to place answers within this file. Make sure you only insert relevant and legible

images.

Part III is the cumulative section. These may include short answer and/or use of SPSS but

will review material from previous module(s).

Directions for each subsection are provided in the top of each table (in the blue shaded

areas).

Answers should be placed where indicated (wherever there is “ANSWER”).

Submit the file as a WORD document (.doc or .docx). Make sure the filename of your

submission includes your full name, course and section.

o Example: HW6_JohnDoe_510B01

Make sure to check the Homework Grading Rubric before beginning this Homework: Z-Tests

& Single Sample T-Tests Assignment.

Part I: General Concepts

These questions are based on the concepts covered in this module’s assigned readings

and presentations.

Answer the following questions using your own words.

1.

What is the critical value for a one-tailed z test? For a two-tailed z test? Which is more likely to

result in a rejection of the null hypothesis? Why?

ANSWER

2.

Why does tcv. Change when the sample size changes? What must be computed to determine tcv.?

ANSWER

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PSYC 510

3.

Henry performed a two-tailed test for an experiment in which N = 24. He could not find his

table of t critical values, but he remembered the tcv at df = 13. He decided to compare his tobt

with this tcv. Is he more likely to make a Type I or a type II error in this situation? Briefly

discuss why.

ANSWER

Given a population standard deviation of 12, answer the following two questions.

WORK:

ANSWER

4) Calculate the standard error of

the mean (𝝈𝐗̅ ) given the following

two sample sizes (show all your

work and round to two decimal

places):

N1 =

N2 =

N1 =

N2 =

N1 = 20

N2 = 70

5) How does the sample size change

the standard error of the mean?

What does this mean for statistical

power?

ANSWER

Calculate the critical degrees of freedom and identify the critical values for the following tests,

using p = .05 and the tables in your e-book for all scenarios (do NOT round). Then, state whether

the null hypothesis would be rejected or failed to be rejected.

6) Single sample t-test: df=

critical t =

Reject or Fail to Reject Ho:

two-tailed, N = 20, t = ANSWER

ANSWER

ANSWER

2.05

7) Single sample t-test: df=

critical t =

Reject or Fail to Reject Ho:

one-tailed, N = 20, t = ANSWER

ANSWER

ANSWER

2.05

8) Pearson’s r

df=

critical r =

Reject or Fail to Reject Ho:

correlation: two-tailed, ANSWER

ANSWER

ANSWER

N = 15, r = 0.47

9) Pearson’s r

df=

critical r =

Reject or Fail to Reject Ho:

correlation: one-tailed, ANSWER

ANSWER

ANSWER

N = 15, r = 0.47

A company decides to offer a monetary incentive for employees who log a specified

number of hours spent exercising in an attempt to improve employee health. The average

health score (higher = better) of the 75 employees who logged enough hours was 87. The

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PSYC 510

mean health score for all employees (population) was 85, with a population standard

deviation of 6.5.

10) Calculate the standard error of the mean.

11) Conduct the z-test. Show your work (use

at least two decimal places throughout).

What is the zobt score?

12) Write your conclusion using complete

sentences in APA format. Don’t forget to

include the statistical statement and whether

you reject or fail to reject the null hypothesis.

ANSWER

ANSWER

ANSWER

Part II: SPSS Application

These questions require the use of SPSS. Remember you must submit all of your work

within this word document. You will need to take a screen shot of your data view if

necessary, or copy and paste your output into the spaces below. Remember to report the

exact p value provided by SPSS output – simply reporting p.05 is not acceptable

(unless SPSS output states p=.000 – in that case you can report p

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