School

Macomb Community College **We aren't endorsed by this school

Course

MATH 1340

Subject

Statistics

Date

Sep 18, 2023

Type

Other

Pages

8

Uploaded by CountDuck3513 on coursehero.com

Chap 7-8 DQ Response
Makayla Bondy
Below is the Chap 7-8 DQ. Record your DQ Response (write it on paper or type it in a file and save it).
Then enter your answers in this graded assignment. Immediately after submitting your answers to each
question, it will indicate whether you got them correct or not. You may attempt any question a 2nd
time and earn 50% credit on any parts you got wrong in the 1st attempt. After you have finished, use
this feedback to make any corrections to your recorded DQ Response, and post this corrected version in
the Chap 7-8 DQ forum. That will complete your "Chap 7-8 DQ Response".
Chap 7 DQ:
A claim is made that a 6-sided die is loaded. (That is, the claim is that the die is
NOT
equally likely to
land on each of its six numbered sides.) A random sample is obtained by tossing this die 180 times, and
the results are recorded below.
Results from 180 Tosses of the Die
Result
one
two
three
four
five
six
Frequency
35
26
38
22
30
29
Test the claim at the 0.025 significance level using the critical value method, and state your
conclusion in nontechnical terms.
Similar to the Chapter 6 DQ, your DQ Response must list all the following items:
1.
The null and alternative hypotheses, with the claim identified as one of them
2.
The value of
3.
The test statistic
4.
The critical value(s)
5.
The decision of your test, including brief rationale using the CV method
*
6.
The conclusion of your test, stated in nontechnical language
IMPORTANT
: Use the following template for your Chap 7 DQ Response
. Type or write exactly
what is shown in the 6-part template below, but you need to fill-in the
blanks
with appropriate
information from the hypothesis test. Most
blanks
contain a
hint
about what is needed in them.
1.
H
0
:
vs.
H
1
:
; where the claim is represented by
("H
0
" or "H
1
")
2.
=
(a number)
3.
TS
:
(a letter or symbol)
=
(a number)
4.
CV
:
(a letter or symbol)
=
(one or two numbers)
5.
The TS
("does" or "does not")
fall in the rejection region (
(a letter or symbol)
(
"<" or ">")
(a number)
), so we
("reject" or "fail to reject")
H
0
.
6.
There
("is" or "is not")
sufficient evidence to
("support" or "warrant rejection of")
the claim
that
(the claim written out in words)
.

Additional Instructions
:
*
No explanations are necessary, except in part 5
. You should just give your
final
answers
to parts #1-4 and #6. But in part #5 you will briefly explain how the CV
method leads to your decision to reject or fail to reject the null hypothesis by
filling in the blanks.
Round all values to
3 places after the decimal point, if necessary.
In part #2, you can type or write the word "alpha" instead of using the Greek letter
.
In parts #3-5, "TS" and "CV" stand for
test statistic
and
critical value
, respectively.
In parts #3-5, you will fill-in the
"letter or symbol"
blanks with the appropriate selection
from the following:
p,
(or "mu"),
z, t
,
(or "chi-square"),
r
,
r
s
(or "rs"),
x
, or
G
.
Chap 8 DQ:
A college's provost (chief academic officer) selects a random sample of 5 students' overall grade point
averages (GPAs) in each of 8 consecutive semesters. These sample GPAs along with their sample means (
), sample ranges (
R
), and sample proportions (
) are given in the table below.
(FYI: Any GPA that is less than 2.0 was considered "
defective
" in the calculation of the
statistics for
each subgroup.)
Eight Subgroups (or Samples) of Size Five
Subgroup
R
1
3.5
1.8
2.4
2.9
3.4
2.80
1.7
0.2
2
3.0
3.8
2.8
2.9
2.1
2.92
1.7
0.0
3
1.3
3.0
1.2
1.4
1.9
1.76
1.8
0.8
4
2.2
1.6
3.3
3.0
1.5
2.32
1.8
0.4
5
1.1
3.6
3.3
1.9
1.8
2.34
2.5
0.6
6
3.7
1.9
4.0
3.8
1.5
2.98
2.5
0.4
7
2.2
2.1
3.8
3.8
1.7
2.72
2.1
0.2
8
3.0
2.6
1.1
1.6
1.7
2.00
1.9
0.6
Averages
2.48
2.0
0.4
Find the values of the UCL and LCL on the following control charts for this data.
Round all answers to
4 places after the decimal point
(if necessary).
A.
chart
B.
R
chart
C.
p
chart
All items are "fill-in the blanks".

Many of them have a
drop-down menu of answer choices
(they either have a "?" or "Select an
answer" in them). Click anywhere in these boxes to reveal the choices.
Some of them are empty boxes where you must
type a number
. You must round them to the
number of decimal places indicated.
Only "basic text" can appear in the drop-down menus.
"mu" represents the symbol
"chi-square" represents
"rs" represents
r
s
"H0" represents
H
0
"H1" represents
H
1
Questions #1-6 correspond to the Chap 7 DQ.
Question 1
9/9 pts
9

H
0
H
1
Chap 7 DQ
Part 1:
State the hypotheses and identify the claim.
H
0
is __________.
p
1
=
p
2
=
p
3
=
p
4
=
p
5
=
p
6
p
1
p
2
p
3
p
4
p
5
p
6
At most one of these probabilities is different from the others
At least one of these probabilities is different from the others
The tosses of the die are independent
The tosses of the die are dependent
There is correlation between these tosses of the die
There is not correlation between these tosses of the die
The order in which the results of the die tosses occur was random
The order in which the results of the die tosses occur was not random
H
1
is __________.
p
1
=
p
2
=
p
3
=
p
4
=
p
5
=
p
6
p
1
p
2
p
3
p
4
p
5
p
6
At most one of these probabilities is different from the others
At least one of these probabilities is different from the others
The tosses of the die are independent
The tosses of the die are dependent
There is correlation between these tosses of the die
There is not correlation between these tosses of the die
The order in which the results of the die tosses occur was random
The order in which the results of the die tosses occur was not random
The claim is represented by _____.

Question 2
2/2 pts
9
Question 3
18/18 pts
9
Question 4
6/6 pts
9
Question 5
5.6/7 pts
7-9
Chap 7 DQ
Part 2:
Identify the value of
.
=
0.025
Chap 7 DQ
Part 3:
Find the test statistic.
TS:
5.6666666
chi-square
Chap 7 DQ
Part 4:
Find the critical value(s).
CV:
=
12.833
IMPORTANT
: If there is more than one critical value, then enter them all in the 2nd answer box
above as a comma-separated list. (For example, if the critical values were -1, 2.3, and 5.1, then
you would enter "-1, 2.3, 5.1" in the 2nd answer box. Do NOT type "and" or "&" between any of
them.)
chi-square
Chap 7 DQ
Part 5:
State the decision of the hypothesis test using the critical value method.
The TS
fall in the rejection region (
12.833
), so we
H
0
by the CV method.
does not
chi-square
>
fail to reject

Question 6
8/8 pts
9
Questions #7-10 correspond to the Chap 8 DQ.
Question 7
11/11 pts
9
Question 8
13/13 pts
9
Chap 7 DQ
Part 6:
State the conclusion in non-technical language.
There
sufficient evidence to
the claim that
.
is not
support
the 6-sided die is loaded
Chap 8 DQ
Identify the basic information that is needed to answer parts (A), (B), and (C).
Before calculating the UCL or LCL of any of the control charts, we first need to identify some values:
=
2.48
=
2
=
0.4
Additionally, we have
n
=
5
, so we use Table 8-1 (pg 353 of the text) or Table A-8 (in
appendix A of the text) to get the following control chart constants:
A
2
=
0.577
D
3
=
0
D
4
=
2.114

Question 9
13/13 pts
9
Question 10
6.5/13 pts
7-9
IMPORTANT
: Don't forget that this online assignment is an aid to help you post your corrected DQ
Response in the DQ forum before the DQ Response deadline. Failing to post it in the DQ forum by that
Chap 8 DQ
Part A:
Find the
chart's control limits.
Calculate the values of the UCL and LCL for the
chart. Enter only the
final
values below. (But the DQ
Response you post in the discussion forum and your group's submitted DQ Solution will need to show the
formulas you used and your calculations.)
UCL of the
chart =
3.634
LCL of the
chart =
1.326
Chap 8 DQ
Part B:
Find the
R
chart's control limits.
Calculate the values of the UCL and LCL for the
R
chart. Enter only the
final
values below. (But the DQ
Response you post in the discussion forum and your group's submitted DQ Solution will need to show the
formulas used and calculations.)
UCL of the
R
chart =
4.228
LCL of the
R
chart =
0
Chap 8 DQ
Part C:
Find the
p
chart's control limits.
Calculate the values of the UCL and LCL for the
p
chart. Enter only the
final
values below. (But the DQ
Response you post in the discussion forum and your group's submitted DQ Solution will need to show the
formulas used and calculations.)
UCL of the
p
chart =
1
LCL of the
p
chart =
0

deadline will disqualify you from receiving credit on this DQ. (In other words, submitting this online
assignment without also posting your Response in the DQ forum before the deadline will NOT earn any
credit for your DQ Response.)