Exam (elaborations)
STA 2023 Elementary Statistics STA 2023 FINAL Exam 2 questions and Answers.
- Institution
- Saint Petersburg College
STA 2023 Elementary Statistics
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4/22/2020 : Quiz Submissions - Final Review - STA2023 Elementary Statistics Mode:(Online) Class#:960 Instructor:Rajaram - St Petersburg CollegeQuiz Submissions - Final Review
Kayla Oldenburg (username: kolden1)
Attempt 2
Written: Apr 22, 2020 9:47 AM - Apr 22, 2020 10:57 AM
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Question 1 point
Determine the type of association.
Describe the association between the "amount of money earned in tips" and "number of tables served" for a waiter at a particular
restaurant.
These two variables are positively correlated.
These two variables are not correlated.
These two variables are negatively correlated.
Question 2 point
Determine the necessary sample size.
What is the smallest sample size that would be required to estimate the proportion of “regular vitamin users” to within 0.03 with 90%
confidence?
(Hint: use a 'worst case scenario' of p=0.50)
1024
1068
1503
752
2401
Question 3 point
State your conclusion to the following hypothesis test.
A certain academic program boasts that 87% of their graduates find full-time employment in their field within the first year of
graduation. The academic director is concerned that market factors may have adversely affected the full-time placement rate and
decides to perform a Hypothesis Test to see if her concern is warranted.
The hypothesis test is performed at a 5% significance level and the resulting p-value is 0.07.
Assume that all conditions for testing have been met and choose the statement that contains the correct conclusion.
there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is
greater than 0.05.
there is sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is
greater than 0.05.
there is sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
there is not sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than
0.05.
Question 4 point
State the null and alternative hypotheses you would use to test the following situation.
The average time it takes for a person to experience pain relief from a certain pain reliever is 15 minutes. A new ingredient is added to
help speed up pain relief and an experiment is conducted to test whether the new product does indeed speed up pain relief.
https://mycourses.spcollege.edu/d2l/lms/quizzing/user/quiz_submissions_attempt.d2l?isprv=&qi=797790&ai=9978167&isInPopup=0&cfql=0&ou=234… 1/10
, 4/22/2020 : Quiz Submissions - Final Review - STA2023 Elementary Statistics Mode:(Online) Class#:960 Instructor:Rajaram - St Petersburg College
What are the appropriate null and alternative hypotheses for the experiment?
H0 : μ = 15
H1 : μ ≠ 15
H0 : μ = 15
H1 : μ > 15
H0 : μ = 15
H1 : μ < 15
Question 5 point
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.
Color
Brown Red Yellow Blue Orange Green
Number 70 85 81 79 93 96
Under the Chi-square goodness-of-fit null hypothesis, what would be the expected number of each color for this bag of m&m's?
100
75
504
84
Question 6 point
State the null hypothesis.
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.
Subject
Location of Reading Math Science
School
Urban 43 42 38
Suburban 63 66 65
State the null hypothesis for a Chi-Square test for independence.
Skill level in a subject is not independent of location.
Skill level in a subject is greater than location.
Skill level in a subject is independent of location.
Skill level in a subject is related to location.
Cannot be determined.
Question 7 point
Construct the equation of the regression line.
An editing firm compiled the following table which lists the number of pages contained in a piece of technical writing and the cost of
proofreading and correcting them (in dollars). Assume there is a significant linear relationship between X and Y and construct the
equation of the linear regression line.
Number of Pages, 7 12 4 14 25 30
x
Cost, y 128 213 75 250 446 540
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