Question

4. What is the difference between “z” and “t” statistics? When do we use z-table, and when do we use t-table?

Answer #1

Z statistics and t statistics are both used statistical hypothesis testing, when the sample size is less than 30 and population standard deviation is not known then we should used t-statistic, whereas when the sample size is greater than 30 and the population standard deviation is given then we should use Z statistic.

It is noted that wen the sample size increases 30 the T table value approaches Z table value.

The Z statistic is used to standardize the sample values which makes it more convenient to compare for desired result.

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...

Define type 1error
What is the difference between t- Test, and z test

If we know the population standard deviation, we can use which
table to do a hypothesis test?
Group of answer choices
Z-table
T-table
Critical table
Significant table
In the critical value approach, to make a decision, we compare
the critical value with the:
Group of answer choices
Test statistic
p-value
Hypothesized value
Population parameter
In the critical value approach, if we are doing a two-tailed
test, we do not know the population standard deviation, and we find
that the test...

What are the similarities and differences between the two t
tests for the difference between two population means? Under what
condition should we use the t test for the matched samples?

What are the similarities and differences between the two t
tests for the difference between two population means? Under what
condition should we use the t test for the matched samples?

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?

Is there a difference between community college statistics
students and university statistics students in what technology they
use on their homework? Of the randomly selected community college
students 43 used a computer, 72 used a calculator with built in
statistics functions, and 65 used a table from the textbook. Of the
randomly selected university students 28 used a computer, 33 used a
calculator with built in statistics functions, and 40 used a table
from the textbook. Conduct the appropriate hypothesis...

What is the difference between a One sample
t-test, Unpooled t-test, Pooled
t-test, Paired t-test, and Mann
Whitney U test? How do you know when to use each test?

What is the difference between a t test of independent means and
a t test of dependent means? Provide examples of when you would use
each type of t test.

Do men score lower on average compared to women on their
statistics finals? Final exam scores of ten randomly selected male
statistics students and ten randomly selected female statistics
students are shown below.
Male: 65 69 91 56 85 82 59 92 81
78
Female: 71 85 99 69 99 65 86 79 64
98
Assume both follow a Normal distribution. What can be concluded
at the the αα = 0.01 level of significance level of
significance?
For this study, we should...

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