Teen obesity: The 2013 National Youth Risk Behavior Survey (YRBS) reported that 13.7% of U.S. students in grades 9 through 12 who attend public and private school were obese. Suppose that 15% of a random sample of 300 U.S. public high school students wereobese.
Source: Kann, L., Kinchen, S., Shanklin, S.L., Flint, K.H., Hawkins, J., Harris, W.A., et. al.(2013) YRBS 2013
Using the estimate from the 2013 YRBS, we calculate a standard error of 0.020. Since the data allows the use of the normal model, we can determine an approximate 95% confidence interval for the percentage of all U.S. public high school students who are obese.
Which interval is the approximate 95% confidence interval?
Group of answer choices
0.117 to 0.157
0.110 to 0.190
0.013 to 0.170
0.097 to 0.177
In: Statistics and Probability
2. Abby is about to graduate from OSU, and she cannot decide if she should go to Medical School or Law School. To cover her bases, she decides to take both the Medical College Admission Test (MCAT) and the Law School Admission Test (LSAT). Her scores on each of these standardized exams are presented in the following table, along with the means and standard deviations of those exams. Both exams have distributions that are Normal. Please use this information to answer the following questions. To get as much credit as possible here, be sure to show all of your work!
Abby’s score
Mean
Standard Deviation
MCAT. 485, 501.8, 9.5
LSAT 140,150.7,10.2
a. Abby’s roommate, Shonda, took the MCAT and received a score of 512. What percentage of individuals who take the MCAT would have scores higher than Shonda’s score?
In: Statistics and Probability
Kumar Sports wants to determine the number of Adult and school
footballs to produce in order to maximize profit over the next
planning horizon. Constraints affecting the production are the
production capacities in three departments: Cutting and Dyeing;
sewing; and inspection and packaging. For the planning period 340
hours of cutting and dyeing time, 420 hours of sewing time, and 200
hours of inspection and packaging time are available. The amount of
resources each football type requires is given below
Departments Adult School
Cutting and Dyeing 12 minutes 6
minutes
Sewing 9 minutes 15 minutes
Inspection and Packaging 6 minutes 6
minutes
Adult footballs provide a profit of $5 per unit and School footballs provide a profit of $4 per unit. Clearly specify the decision variables, and then formulate this problem as an LPP but do not solve!
In: Statistics and Probability
A survey at Evashevski University showed that 75% of the student body believes that the school offers classes at appropriate times during the school day. To investigate with this feeling is shared by students specifically within the business department, the department polled a sample of 100 business students; 64 said they thought that classes were offered at appropriate times during the school day.
Use an α = .10.
A. Provide the appropriate hypothesis test criteria:
|
B. Using the data from the sample, answer the five fill-in-the-blank questions, and make the correct hypothesis test conclusion.
| Reject Ho if the test statistic of | is |
|
the critical value of | ||
| Reject Ho if the p-value of | is | < | the value of α of |
Based on these results, we should:
Reject Ho
Accept Ho
C. What does this poll say about business students at Evashevski University, compared to their peers at the university as a whole?
In: Statistics and Probability
A school psychologist was interested in whether the 12
students in the chess club had a higher or lower mean grade point
average (GPA) than the other students at a school. The overall GPA
at the school was 2.55 but variability is unknown. The average GPA
of students in the chess club was 2.76. Use the .05 significance
level.
SS=2.16.
A) What is the appropriate test for the
data?
(Z-Test, t-test for independent, t-test for dependent)
B) Conduct the appropriate hypothesis test by hand. Follow
the five steps of hypothesis testing and provide a drawing.
C) Give an interpretation of this data and, when appropriate,
report the statistics.
D) Explain how you found the characteristics of the comparison
distribution. In your explanation, be sure to use the names of the
concepts. For example, if you are calculating variance for the
distribution of means call it that. Do not simply say "that
number."
In: Statistics and Probability
a) A university planner wants to determine the proportion of spring semester students who will attend summer school. She surveys 40 current students discovering that 15 will return for summer school.At 90% confidence, compute the margin of error for the estimation of this proportion.
b) A university planner wants to determine the proportion of spring semester students who will attend summer school. She surveys 36 current students discovering that 16 will return for summer school.At 90% confidence, compute the lower bound of the interval estimate for this proportion.
c) A university planner wants to determine the proportion of spring semester students who will attend summer school. Suppose the university would like a 0.90 probability that the sample proportion is within 0.101 or less of the population proportion.What is the smallest sample size to meet the required precision? (There is no estimation for the sample proportion.) (Enter an integer number.)
In: Statistics and Probability
1). A sample of 8 football teams in the Fresno
Conference scored a mean of 20.8 points per game in the 2019
season, with a known population standard deviation of 3.2 points. A
sample of 10 football teams in the Madera Conference scored a mean
of 24.5 points per game in the 2019 season, with a known population
standard deviation of 2.6 points. At the 0.01 significance level,
can we conclude that the mean points scored in the Fresno
Conference is less than the mean points scored in the Madera
Conference?
2). A sample of 50 students at Bullyard High School found that 4 of
them had green eyes. A sample of 40 students at Cowtown High School
found that 5 of them had green eyes. At the 0.02 significance
level, can we conclude that there is a difference in the proportion
of students with green eyes between Bullyard and Cowtown High
School.
In: Statistics and Probability
An adjunct instructor teaches the same statistics class at three different colleges. She wants to compare the average age of students in the three classes.
| School 1 | 25 | 23 | 23 | 21 | 19 | 17 | 20 | 21 | 31 | 29 |
|---|---|---|---|---|---|---|---|---|---|---|
| School 2 | 26 | 21 | 23 | 24 | 19 | 22 | 19 | 24 | 28 | 31 |
| School 3 | 24 | 23 | 22 | 22 | 20 | 19 | 22 | 23 | 30 | 28 |
(a)
Compute the grand mean.
(b)
Calculate the sum of squares treatment.
(c)
What is the sum of squares error?
(d)
What is the mean squares treatment?
(e)
What is the mean squares error? (Round your answer to four decimal places.)
(f)
Calculate the F statistic. (Round your answer to three decimal places.)
In: Statistics and Probability
In: Statistics and Probability
Because of the coronavirus pandemic, more people are trying to order food with food delivery apps. In a random sample of 100 college students, 55% claimed they had the experience of using UberEats to order foods. In another random sample of 120 high school students, 47 out of 120 students claimed they had the experience of using UberEats. Is there sufficient evidence to indicate that the rate of having the experience of using UberEats among college and high school students are different are the .10 significance level.
1.) Set up the null and alternative hypothesis
2.) Construct a confidence interval for the difference in the proportion of college students who have had the experience of UberEats versus high school students. Will you reject the null hypothesis?
3.) Determine the critical value at the .1 significance level, make a conclusion for the hypothesis test.
4.) What will the margin of error equal for the 95% confidence interval?
In: Statistics and Probability