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
1.
a.Suppose you will go to graduate school for 3 years beginning in year 5. Tuition is $34,657 per year, due at the end of each school year. What is the Macaulay duration (in years) of your grad school tuitions? Assume a flat yield curve of 0.05.
b.Suppose in the question above, the tuition obligations have a Macaulay duration of 4.54 in years, and that you wish to immunize against the tuition payments by buying a single issue of a zero coupon bond. What maturity zero coupon bond should you buy?
c.Suppose in question a, the tuition obligations have a Macaulay duration of 6.86 in years and a present value of 44,225. In order to immunize against the tuition payments by investing in some combination of two bonds with duration 3.48 and 9.91, what is the dollar amount that you should invest in the bond with duration 9.91?
In: Finance
You have chosen biology as your college major because you would like to be a medical doctor. However, you find that the probability of being accepted to medical school is about 16 percent. If you are accepted to medical school, then your starting salary when you graduate will be $316,000 per year. However, if you are not accepted, then you would choose to work in a zoo, where you will earn $44,000 per year. Without considering the additional years, you would spend in school if you study medicine or the time value of money.
What is your expected starting salary? (Round answer to 2 decimal places, e.g. 15.25.) Expected starting salary $ LINK TO TEXT What is the standard deviation of that starting salary? (Round answer to 2 decimal places, e.g. 15.25.)
Standard deviation $
In: Finance
Rolling a Die If a die is rolled one time, find these probabilities: a. Getting a 7 b. Getting an odd number c. Getting a number less than 7 d. Getting a prime number (2, 3, or 5)
4.Rolling a Die If a die is rolled one time, find these probabilities: a. Getting a number greater than 0. b. Getting a number greater than or equal to 3 c. Getting a number greater than 2 and an even number d. Getting a number less than 1
6.Riding to School The probability that John will drive to school is 0.37, the probability that he will ride with friends is 0.23, and the probability that his parents will take him is 0.4. He is not allowed to have passengers in the car when he is driving. What is the probability that John will have company on the way to school?
In: Statistics and Probability