St Petersburg College Florida
Statistics (Stat 2023) Final Exam
Course Title and Number: Statistics (Stat 2023)
Exam Title: [Insert Exam Title]
Exam Date: [Insert Exam Date]
Instructor: [Insert Instructor’s Name]
Student Name: [Insert Student’s Name]
Student ID: [Insert Student ID]
Final Examination
180 minutes
Instructions:
1. Read each question carefully.
2. Answer all questions.
3. Use the provided answer sheet to mark your responses.
4. Ensure all answers are final before submitting the exam.
Good Luck!
, Statistics (Stat 2023) Final Exam
Conduct the appropriate hypothesis test and compute the
p-value.
Sunshine Air has determined that their no-show rate for
passengers booked on a flight is 6%. The Airline has recently
increased the cost of its travel insurance and and suspects the
no-show rate for passengers will decrease.
A random sample of 380 reservations resulted in 18 no-shows.
At the 0.10 significance level, is there strong enough sample
evidence to suggest that the no-show rate in less than 6%?
Question options:
Yes, because the p-value = 0.15
No, because the p-value = 0.15
No, because the p-value = 0.10
Yes, because the p-value = 0.10 - Answer>> No, because
the p-value = 0.15
State your decision to the significance test in terms of the null
hypothesis.
A radio station claims to play 50 minutes of music every hour,
but every time you turn to that station they seem to be playing a
commercial. Use the following results and a 0.05 significance
level to state your decision about H0.
Test statistic: t = -1.60 p-value = 0.04
Question options:
Reject H1
There is not enough information.
Reject H0
Do not reject H0
Do not reject H1 - Answer>> Reject H0, p-val is smaller
than signif. level
State your conclusion to the hypothesis test.
,Is achieving a basic skill level in a subject independent to the
location of the school? A random sample of students
categorized by the location of school and the number achieving
basic skills in three subjects is shown in the table.
Subjects
Reading-urban 43, suburban 63
Math- urban 42, suburban 66
Science- urban 38, suburban 65
Conduct a chi-square test of independence at the 1%
significance level to test whether the two variables are
independent and state your conclusion.
Hint: the test statistic is: x^2=0.30
Question options:
Cannot be determined.
There is sufficient sample evidence to suggest that skill level in
a subject is independent of location.
There is not sufficient sample evidence to suggest that skill
level in a subject is dependent of location.
There is not sufficient sample evidence to suggest that skill
level in a subject is independent of location.
Th - Answer>> There is not sufficient sample evidence to
suggest that skill level in a subject is dependent of location.
Determine the specified confidence interval.
It has been estimated, with 90% confidence, the proportion of
Americans who go out shopping on Black Friday is 0.40 with a
margin of error equal to 0.04.
Determine the resulting 90% confidence interval for the
proportion of Americans who go out shopping on Black Friday.
Question options:
(0.36 , 0.44)
(0.40 , 0.44)
(0.38 , 0.42)
(0.36 , 0.40)
, (0.86 , 0.94) - Answer>> (0.36 , 0.44)
State your conclusion to the hypothesis test.
Sally was interested in whether the number of m&m's was
uniform over all 6 colors (the same number of m&m's for each
color). The table categorizes the number of m&m's of each
color found in an 1-pound bag.
Colors:
Brown-70
Red-85
Yellow-81
Blue-79
Orange-93
Green-96
Perform a Chi-square goodness-of-fit test at the 5%
significance level and state your conclusion.
Hint: the test-statistics is: x^2=5.43
Question options:
There is sufficient sample evidence to suggest that the
distribution of colors is uniform.
There is not sufficient sample evidence to suggest that the
distribution of colors is not uniform.
There is not sufficient sample evidence to suggest that the
distribution of colors is uniform.
There is sufficient sample evidence to suggest that the
distribution of colors is not uniform. - Answer>> There is not
sufficient sample evidence to suggest that the distribution of
colors is not uniform.
Determine the expected count under the null hypothesis.
Sally was interested in whether the number of m&m's was
uniform over all 6 colors (the same number of m&m's for each
color). The table categorizes the number of m&m's of each
color found in an 1-pound bag.
Colors:
Brown-70
Statistics (Stat 2023) Final Exam
Course Title and Number: Statistics (Stat 2023)
Exam Title: [Insert Exam Title]
Exam Date: [Insert Exam Date]
Instructor: [Insert Instructor’s Name]
Student Name: [Insert Student’s Name]
Student ID: [Insert Student ID]
Final Examination
180 minutes
Instructions:
1. Read each question carefully.
2. Answer all questions.
3. Use the provided answer sheet to mark your responses.
4. Ensure all answers are final before submitting the exam.
Good Luck!
, Statistics (Stat 2023) Final Exam
Conduct the appropriate hypothesis test and compute the
p-value.
Sunshine Air has determined that their no-show rate for
passengers booked on a flight is 6%. The Airline has recently
increased the cost of its travel insurance and and suspects the
no-show rate for passengers will decrease.
A random sample of 380 reservations resulted in 18 no-shows.
At the 0.10 significance level, is there strong enough sample
evidence to suggest that the no-show rate in less than 6%?
Question options:
Yes, because the p-value = 0.15
No, because the p-value = 0.15
No, because the p-value = 0.10
Yes, because the p-value = 0.10 - Answer>> No, because
the p-value = 0.15
State your decision to the significance test in terms of the null
hypothesis.
A radio station claims to play 50 minutes of music every hour,
but every time you turn to that station they seem to be playing a
commercial. Use the following results and a 0.05 significance
level to state your decision about H0.
Test statistic: t = -1.60 p-value = 0.04
Question options:
Reject H1
There is not enough information.
Reject H0
Do not reject H0
Do not reject H1 - Answer>> Reject H0, p-val is smaller
than signif. level
State your conclusion to the hypothesis test.
,Is achieving a basic skill level in a subject independent to the
location of the school? A random sample of students
categorized by the location of school and the number achieving
basic skills in three subjects is shown in the table.
Subjects
Reading-urban 43, suburban 63
Math- urban 42, suburban 66
Science- urban 38, suburban 65
Conduct a chi-square test of independence at the 1%
significance level to test whether the two variables are
independent and state your conclusion.
Hint: the test statistic is: x^2=0.30
Question options:
Cannot be determined.
There is sufficient sample evidence to suggest that skill level in
a subject is independent of location.
There is not sufficient sample evidence to suggest that skill
level in a subject is dependent of location.
There is not sufficient sample evidence to suggest that skill
level in a subject is independent of location.
Th - Answer>> There is not sufficient sample evidence to
suggest that skill level in a subject is dependent of location.
Determine the specified confidence interval.
It has been estimated, with 90% confidence, the proportion of
Americans who go out shopping on Black Friday is 0.40 with a
margin of error equal to 0.04.
Determine the resulting 90% confidence interval for the
proportion of Americans who go out shopping on Black Friday.
Question options:
(0.36 , 0.44)
(0.40 , 0.44)
(0.38 , 0.42)
(0.36 , 0.40)
, (0.86 , 0.94) - Answer>> (0.36 , 0.44)
State your conclusion to the hypothesis test.
Sally was interested in whether the number of m&m's was
uniform over all 6 colors (the same number of m&m's for each
color). The table categorizes the number of m&m's of each
color found in an 1-pound bag.
Colors:
Brown-70
Red-85
Yellow-81
Blue-79
Orange-93
Green-96
Perform a Chi-square goodness-of-fit test at the 5%
significance level and state your conclusion.
Hint: the test-statistics is: x^2=5.43
Question options:
There is sufficient sample evidence to suggest that the
distribution of colors is uniform.
There is not sufficient sample evidence to suggest that the
distribution of colors is not uniform.
There is not sufficient sample evidence to suggest that the
distribution of colors is uniform.
There is sufficient sample evidence to suggest that the
distribution of colors is not uniform. - Answer>> There is not
sufficient sample evidence to suggest that the distribution of
colors is not uniform.
Determine the expected count under the null hypothesis.
Sally was interested in whether the number of m&m's was
uniform over all 6 colors (the same number of m&m's for each
color). The table categorizes the number of m&m's of each
color found in an 1-pound bag.
Colors:
Brown-70
