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MATH302 I005 – APEI Quiz - Week 8 test Questions
with 100% accurate solutions 2026 latest update
Attempt Score - 100 %
Overall Grade (Highest Attempt) - 100 %
Question 1 point
A college prep school advertises that their students are more prepared to succeed in
college than other schools. To verify this, they categorize GPA's into 4 groups and look
up the proportion of students at a state college in each category. They find that 7%
have a 0-0.99, 21% have a 1-1.99, 37% have a 2-2.99, and 35% have a 3-4.00 in GPA.
They then take a random sample of 200 of their graduates at the state college and find
that 19 has a 0-
0.99, 28 have a 1-1.99, 82 have a 2-2.99, and 71 have a 3-4.00.
Can they conclude that the grades of their graduates are distributed differently than
the general population at the school? Test at the 0.05 level of significance.
Enter the p-value - round to 4 decimal places. Make sure you put a 0 in front of the
decimal.
p-value=___
Answer: 0.0621 (0.0620)
Hide ques on 1 feedback
0-0.99 1-1.99 2-2.99 3-4.00
Observed
19 28 82 71
Counts
Expected
=200*0.07=200*.21==200*.37=200*.35
Counts =14 42 = 74 = 70
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You can use Excel to find the p-value
=CHISQ.TEST(Highlight Observed, Highlight Expected)
Question 2 point
A college prep school advertises that their students are more prepared to succeed in
college than other schools. To verify this, they categorize GPA's into 4 groups and look
up the proportion of students at a state college in each category. They find that 7%
have a 0-0.99, 21% have a 1-1.99, 37% have a 2-2.99, and 35% have a 3-4.00 in GPA.
They then take a random sample of 200 of their graduates at the state college and find
that 19 has a 0-0.99, 28 have a 1-1.99, 82 have a 22.99, and 71 have a 3-4.00.
Can they conclude that the grades of their graduates are distributed differently than
the general population at the school? Test at the 0.05 level of significance.
Hypotheses:
H0: There is ______ between the general population and the college prep students in
GPA.
H1: There is ______ between the general population and the college prep students in
GPA.
Select the best fit choices that fit in the two blank spaces above.
no difference, a
difference a
difference, no
difference no
difference, no
difference a
difference, a difference
Question 3 point
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A large department store is curious about what sections of the store make the most
sales. The manager has data from ten years prior that show 30% of sales come from
Clothing, 25% Home Appliances, 18% Housewares, 13% Cosmetics, 12% Jewelry, and
2% Other.
In a random sample of 550 current sales, 188 came from Clothing, 153 Home
Appliances, 83 Housewares, 54 Cosmetics, 61 Jewelry, and 11 Other. At α=0.10, can the
manager conclude that the distribution of sales among the departments has changed?
Enter the p-value - round to 4 decimal places. Make sure you put
a 0 in front of the decimal. p-value=___
=CHISQ.TEST(Highlight Observed, Highlight Expected)
Question 4 point
A company that develops over-the-counter medicines is working on a new product
that is meant to shorten the length of sore throats. To test their product for
effectiveness, they take a random sample of 110 people and record how long it took for
their symptoms to completely disappear. The results are in the table below. The
company knows that on average (without medication) it takes a sore throat 6 days or
less to heal 42% of the time, 7-9 days 31% of the time, 10-12 days 16% of the time, and
13 days or more 11% of the time. Can it be concluded at the 0.01 level of significance
that the patients who took the medicine healed at a different rate than these
percentages?
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MATH302 I005 – APEI Quiz - Week 8 test Questions
with 100% accurate solutions 2026 latest update
Attempt Score - 100 %
Overall Grade (Highest Attempt) - 100 %
Question 1 point
A college prep school advertises that their students are more prepared to succeed in
college than other schools. To verify this, they categorize GPA's into 4 groups and look
up the proportion of students at a state college in each category. They find that 7%
have a 0-0.99, 21% have a 1-1.99, 37% have a 2-2.99, and 35% have a 3-4.00 in GPA.
They then take a random sample of 200 of their graduates at the state college and find
that 19 has a 0-
0.99, 28 have a 1-1.99, 82 have a 2-2.99, and 71 have a 3-4.00.
Can they conclude that the grades of their graduates are distributed differently than
the general population at the school? Test at the 0.05 level of significance.
Enter the p-value - round to 4 decimal places. Make sure you put a 0 in front of the
decimal.
p-value=___
Answer: 0.0621 (0.0620)
Hide ques on 1 feedback
0-0.99 1-1.99 2-2.99 3-4.00
Observed
19 28 82 71
Counts
Expected
=200*0.07=200*.21==200*.37=200*.35
Counts =14 42 = 74 = 70
FOR MORE EXAMS
EMAIL:
,FOR MORE EXAMS
EMAIL:
You can use Excel to find the p-value
=CHISQ.TEST(Highlight Observed, Highlight Expected)
Question 2 point
A college prep school advertises that their students are more prepared to succeed in
college than other schools. To verify this, they categorize GPA's into 4 groups and look
up the proportion of students at a state college in each category. They find that 7%
have a 0-0.99, 21% have a 1-1.99, 37% have a 2-2.99, and 35% have a 3-4.00 in GPA.
They then take a random sample of 200 of their graduates at the state college and find
that 19 has a 0-0.99, 28 have a 1-1.99, 82 have a 22.99, and 71 have a 3-4.00.
Can they conclude that the grades of their graduates are distributed differently than
the general population at the school? Test at the 0.05 level of significance.
Hypotheses:
H0: There is ______ between the general population and the college prep students in
GPA.
H1: There is ______ between the general population and the college prep students in
GPA.
Select the best fit choices that fit in the two blank spaces above.
no difference, a
difference a
difference, no
difference no
difference, no
difference a
difference, a difference
Question 3 point
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A large department store is curious about what sections of the store make the most
sales. The manager has data from ten years prior that show 30% of sales come from
Clothing, 25% Home Appliances, 18% Housewares, 13% Cosmetics, 12% Jewelry, and
2% Other.
In a random sample of 550 current sales, 188 came from Clothing, 153 Home
Appliances, 83 Housewares, 54 Cosmetics, 61 Jewelry, and 11 Other. At α=0.10, can the
manager conclude that the distribution of sales among the departments has changed?
Enter the p-value - round to 4 decimal places. Make sure you put
a 0 in front of the decimal. p-value=___
=CHISQ.TEST(Highlight Observed, Highlight Expected)
Question 4 point
A company that develops over-the-counter medicines is working on a new product
that is meant to shorten the length of sore throats. To test their product for
effectiveness, they take a random sample of 110 people and record how long it took for
their symptoms to completely disappear. The results are in the table below. The
company knows that on average (without medication) it takes a sore throat 6 days or
less to heal 42% of the time, 7-9 days 31% of the time, 10-12 days 16% of the time, and
13 days or more 11% of the time. Can it be concluded at the 0.01 level of significance
that the patients who took the medicine healed at a different rate than these
percentages?
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