Question

Discuss the distinction between z and t statistics. How are
they different? Identify the particular quantity that distinguishes
them. Is there a particular class of research questions that lend
themselves to testing via the z statistic? If so, what are the
characteristics of these questions and data?

Answer #1

For Z statistics we need population standard deviation while if population standard deviation is not known then sample size should be large (n>30) while for t statistics we need sample standard deviation with small sample size(n<30)

T distribution have longer Tail than Z statistics

T statistics have degree of freedom while Z statistics don't have degree of freedom.

If the population standard deviation is given then use Z statistics for testing of mean while

If the population standard deviation is not given but sample size is greater than 30 then use Z statistics with sample standard deviation.

While all questions related to proportion use Z statistics.

discuss the differences between a one-sample z-test, one-sample
t-test, the independent samples t-test and the dependent samples
t-test. Specifically, under what circumstances would you conduct
each test and what type of information comes from a known/defined
population versus your sample data?

P_1
Which of the following is a fundamental difference between the t
statistic and a z-score?
A. The t statistic uses the sample mean in place of the
population mean.
B. The t statistic computes the standard error by dividing the
standard deviation by n - 1 instead of dividing by n.
C. The t statistic computes the standard error using a sample
variance in place of the population variance.
D. All of these are differences between t and z...

home / study / math / statistics and probability / statistics
and probability questions and answers / A 0.1 Significance Level Is
Used For A Hypothesis Test Of The Claim That When Parents Use A
...
Your question has been answered
Let us know if you got a helpful answer. Rate this
answer
Question: A 0.1 significance level is used for a
hypothesis test of the claim that when parents use a parti...
A 0.1 significance
level is used for...

Hypothesis testing is the basis of inferential statistics.
Statisticians are always coming up with new tests and testing new
characteristics of population parameters. One of the simplest tests
that currently exist is the one-sample test for means.
A random sample is drawn. If the population variance is known,
then we use the Z test; if the population variance is unknown, we
use the T test. In addition, there are some additional assumptions
that can be made. For example, if a...

Describe what distribution we use when calculating test
statistics Z OR T STATİSTİCS?
STATE
ORDER2019
ORDER2018
Alabama
536
559
Alaska
487
514
Arizona
499
523
Arkansas
554
562
California
499
498
Colorado
556
539
Connecticut
513
509
Delaware
476
501
Florida
471
498
Georgia
473
491
Hawaii
469
486
Idaho
517
543
Illinois
591
576
Indiana
475
499
Iowa
575
593
Kansas
563
577
Kentucky
563
550
Louisiana
546
564
Maine
453
506
Maryland
491
508
Massachusetts
509
511
Michigan...

Research into the relationship between hours of study and grades
show widely different conclusions. A recent survey of graduates who
wrote the Graduate Management Admissions Test (GMAT) had the
following results.
Hours Studied Average Score
(Midpoint)
64 350
72 450
79 550
106 650
99 750
The Excel output for this regression is as following
SUMMART OUTPUT
____________________________
Regression Statistics
____________________________
Multiple R 0.919958
R Square 0.846322
Adjusted R Square 0.795097
Standard Error 71.57225
Observations 5
Anova
___________________________________________________________________________________________
...

A professor notices that in their introductory sociology class,
more women tend to sit up front and more men in the back. In order
to determine whether this difference is significant, the professor
collects data on seating preferences for the students in their
class. The data appear below:
**Note when entering in data on SPSS, you must know the total
number of males and females and the total number students who sit
in the front of the room and the...

1.
The average final exam score for the statistics course is 78%. A
professor wants to see if the average final exam score for students
who are given colored pens on the first day of class is different.
The final exam scores for the 11 randomly selected students who
were given the colored pens are shown below. Assume that the
distribution of the population is normal.
77, 58, 53, 90, 83, 77, 51, 72, 53, 68, 81
What can be...

6. When analyzing survey results from a two way table, the main
distinction between a test of independence and a test for
homogeneity is:
A.
How the degrees of freedom are calculated
B.
how the expected counts are calculated
C.
the number of samples obtained
D.
the number of rows in the two way table
E.
the number of columns in the two way table.
7. A controversial issue in the sport of professional soccer is
the use of instant...

The goal of statistics is to use data to understand something
about the world. To obtain useful results, a scientific approach
should be followed. The basic approach can be summarized into a few
steps.
Write a question that can be answered by collecting data.
Determine what variables to measure and how to collect a data
sample.
Analyze the data and create appropriate summaries.
Create a report of the results, drawing conclusions or
inferences where appropriate.
For example, suppose you are...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 19 minutes ago

asked 21 minutes ago

asked 21 minutes ago

asked 21 minutes ago

asked 47 minutes ago

asked 52 minutes ago

asked 56 minutes ago

asked 58 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago