In: Statistics and Probability
4. The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students’ scores on the quantitative portion of the GRE follow a normal distribution. (Source: http://www.ets.org/.) Suppose a random sample of 10 students took the test, and their scores are given below. 152, 126, 146, 149, 152, 164, 139, 134, 145, 136 a) Test the claim that the mean verbal reasoning score is different from 150 at the α = 0.10 level of significance. Do the step process to show work.
b) It has been claimed that the standard deviation of the GRE scores is 8.8. Is there sufficient evidence to conclude that the standard deviation
In: Statistics and Probability
Part 1) When 500 Rowen College students were surveyed, 110 said they own their car. Find a point estimate for p, the population proportion of students who own their cars. Round your answer to 3 decimal places.
Part 2) We intend to estimate the average driving time of Rowen College commuters. From a previous study, we believe that the average time is 42 minutes with a standard deviation of 11 minutes. We want our 99% confidence interval to have a margin of error of no more than plus or minus 3 minutes. What is the smallest sample size.
In: Statistics and Probability
Part 1) When 500 Rowen College students were surveyed, 110 said they own their car. Find a point estimate for p, the population proportion of students who own their cars. Round your answer to 3 decimal places.
Part 2) We intend to estimate the average driving time of Rowen College commuters. From a previous study, we believe that the average time is 42 minutes with a standard deviation of 11 minutes. We want our 99% confidence interval to have a margin of error of no more than plus or minus 3 minutes. What is the smallest sample size.
In: Statistics and Probability
Which of the following variables have a binomial distribution?
| (I) | You simultaneously flip a loonie with your left hand and a
toonie with your right hand. You will do this ten times. X = number of times both coins land on Heads |
|
| (II) | GPAs at a large university follow a normal distribution with
mean 3.00 and standard deviation 0.50. You take a random sample of
20 students. X = number of students in the sample with GPAs over 4.00 |
|
| (III) | You record various weather statistics in Winnipeg every
Saturday over the course of one year. X = number of Saturdays during the year that it snows in Winnipeg |
In: Statistics and Probability
1) Find the largest value of x that satisfies:
log5(x2)−log5(x+5)=8
2) Students in a fifth-grade class were given an exam. During
the next 2 years, the same students were retested several times.
The average score was given by the model
f(t)=90−7log(t+1), 0≤t≤24
where t is the time in months. Round answers to at least 1 decimal
point.
A) What is the average score on the original exam?
B) What was the average score after 6 months?
C) What was the average score after 18 months?
In: Math
|
The following data are the monthly salaries y and the
grade point averages x for students who obtained a
bachelor's degree in business administration.
The estimated regression equation for these data is = 40.7 + 1,127.9x and MSE =280,233. a. Develop a point estimate of the starting
salary for a student with a GPA of 3.0 (to 1 decimal). b. Develop a 95% confidence interval for the
mean starting salary for all students with a 3.0 GPA (to 2
decimals). c. Develop a 95% prediction interval for Ryan
Dailey, a student with a GPA of 3.0 (to 2 decimals). |
In: Statistics and Probability
High school graduates: The National Center for Educational Statistics reported that 82% of freshmen entering public high schools in the U.S. in 2009 graduated with their class in 2013. A random sample of 135 freshmen is chosen.
|
a. |
Page 333 Find the mean μ. |
|
b. |
Find the standard deviation σ. |
|
c. |
Find the probability that less than 80% of freshmen in the sample graduated. |
|
d. |
Find the probability that the sample proportion of students who graduated is between 0.75 and 0.85. |
|
e. |
Find the probability that more than 75% of freshmen in the sample graduated. |
|
f. |
Would it be unusual if the sample proportion of students who graduated were more than 0.90? |
In: Statistics and Probability
In 2010, 76.3% of college students enrolled in an education
major were female. A sample of students enrolled in an education
major in 2019 consisted of 115 females and 70 males.
Would this data be sufficient at the 0.01 level of significance to
conclude that the percentage of females enrolled in an education
major decreased from the 76.3%?
Use the P-Value Method of Testing.
In your work space below, you will need to have -
1. The null hypothesis, Ho
2. The alternative hypothesis, H1
3. The test statistic
4. The type of test(left, right, two-tailed) and the p-value
5. The decision to accept Ho or reject Ho
In: Statistics and Probability
Suppose a consumer organization was interested in studying weekly food & living expenses of college students living on college campuses in New York State. A survey of 40 students yielded the following (ordered array) to the nearest 10 cents.
|
38.3 |
50.0 |
54.5 |
60.0 |
|
39.4 |
50.5 |
55.6 |
61.2 |
|
40.0 |
51.2 |
56.3 |
62.3 |
|
41.2 |
51.7 |
57.0 |
63.8 |
|
43.7 |
51.8 |
57.0 |
64.0 |
|
45.0 |
52.0 |
57.4 |
64.5 |
|
47.5 |
53.8 |
58.5 |
65.0 |
|
48.2 |
53.8 |
58.5 |
65.0 |
|
48.5 |
54.0 |
59.4 |
66.2 |
|
50.0 |
54.0 |
60.0 |
67.0 |
I want to know how to find the bins, variables and the midpoints
In: Statistics and Probability