**Hypothesis Testing for Mean Distance to Primary Care Physicians in Southwest Virginia****Problem Statement:**Consider a population consisting of all adults living in rural southwest Virginia. Our main variable of interest is \( \mu \), representing the mean distance that adults must travel to visit their primary care physician. A conjecture states that the average distance traveled by these residents is 14 miles. Residents are interested in testing whether this mean distance is greater than 14 miles.**Tasks:**1. **State the appropriate null and alternative hypotheses.** - **Null Hypothesis (\(H_0\)):** The mean distance \( \mu \) that adults in southwest Virginia travel to a primary care physician is 14 miles. \[ H_0: \mu = 14 \] - **Alternative Hypothesis (\(H_1\)):** The mean distance \( \mu \) that adults travel is greater than 14 miles. \[ H_1: \mu > 14 \]**Data Collection and Analysis:**A simple random sample of 81 adults from southwest Virginia was taken. The distance each adult must travel to reach their primary care physician was recorded, resulting in a mean travel distance of 16.4 miles with a standard deviation of 9.9 miles.**Hypothesis Testing:**We will test the hypotheses identified using the collected sample data at the \( \alpha = 0.10 \) level of significance. This implies we're willing to accept a 10% risk of concluding that the mean distance is greater than 14 miles when it is not. *Note: The statistical analysis will involve computing the test statistic and comparing it with the critical value for a one-tailed test, or using a p-value to make a decision regarding the hypotheses.*

given data claim : μ > 14 mileswe have to find null and alternative hypothesis. n = 81x¯ = 16.4s…

Answered: Now suppose the population consists of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Consider the following data set *; | -1|2|3 Yi | 3 |2|1 and the model y = a, + a1¤ Calculate the squared error (SE) for the choice a, = 8 and a1 = -1 Answer:
If it was found that two variables have a statistically significant relationship, we conclude that one variable affects the changes in the other variable without further information. This statement is (select one) True False
A study was undertaken to see how accurate food labeling for calories on food that is considered reduced calorie. The group measured the amount of calories for each item of food and then found the percent difference between the measured and labeled amount of calories. The group also looked at food that was nationally advertised, regionally distributed, or locally prepared. Do the data indicate that at least one of the mean percent differences between the three groups is different from the others? The data is summarized in the table below. National Mean Standard Deviation Sample Size Local -2.1 Regional 27.1667 143.125 Fill in the hypotheses below: Ho: Select an answer Ha: Select an answer 10.3257 20.797 53.5922 20 12 8
Suppose Professor Alpha and Professor Omega each teach Introductory Biology. You need to decide which professor to take the class from and have just completed your Introductory Statistics course. Records obtained from past students indicate that students in Professor Alpha's class have a mean score of 80% with a standard deviation of 5%, while past students in Professor Omega's Class have a mean score of 80% with a standard deviation of 10%. Decide which instructor to take for Introductory Biology using a statistical argument.
A researcher speculates that because of differences in diet, Japanese children have a lower mean blood cholesterol level than U.S. children do. Suppose that the mean level for U.S. children is known to be 175. Let ? represent the true mean blood cholesterol level for Japanese children. What hypotheses should the researcher test? H0: ? = 175 versus Ha: ? > 165H0: ? = 175 versus Ha: ? < 185 H0: ? = 175 versus Ha: ? < 175H0: ? = 175 versus Ha: ? > 175H0: ? = 185 versus Ha: ? > 175
A researcher has found a strong relationship between level of education and income and concludes that “higher levels of education cause higher income.” What error has been made?
People often say “Distance makes the heart fonder.” Interestingly, due to pandemic related lockdowns, some persons have been implicitly or explicitly indicating that it is indeed true as they have been struggling with their relationships due to lack of time apart from their partner. A researcher who is interested in such an issue decided to collect data on the level of rage/edginess that exist among a few couples due to lockdowns. Participants were asked to rank the level of hostility they think they have been exerting towards their partner due to having to spend more time than they usually do with them. The resulting data is presented on page two (2). 2 *14 is the highest level of hostility. Level of hostility Number of partners 0-1 4 2-3 11 4-5 8 6-7 20 8-9 25 10-11 12 12-13 12 13-14 4 a. Calculate the following: i. Mean ii. Mode iii. standard deviation iv. coefficient of variation v. Pearson's 1st measure of skewness b.Interpret the results of your calculations in
The blue catfish (Ictalurus Furcatus) is the largest species of North American catfish. The current world record stands at 143 pounds, which was caught in the John H. Kerr Reservoir (Bugg's Island Lake) located in Virginia. According to American Expedition, the average weight of a blue catfish is between 20 to 40 pounds. Given that the largest blue catfish ever caught was at the John H. Kerr Reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. Use the data below, which represents the summary statistics for 42 blue catfish caught at this reservoir, and a 0.05 significance level to test the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. n=42; ¯x=40.63 pounds; s=3.49 pounds a) Identify the null and alternative hypotheses?H0: H1: c) Identify the appropriate significance level.d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two…
Here is an example from John and Jenn. When we return exams in our classes, we find it beneficial to share with students information on the distribution of scores. We provide this information so that students will have an idea of how they scored on the exam in comparison to their peers. However, deciding which descriptive information to provide to the class is not always an easy decision. These are modified grades from one of Jenn’s statistics classes. For this data set, the mean is 77, the mode is 92, and the median is 86. If you were the professor of the class, do you think sharing the mean scores on the exam with the class is a representative score of the data set? Why or why not? 9 or 11. The researchers predicted that the more a mother weighed during pregnancy, the higher the fat mass would be in the child. Such findings would support the developmental over nutrition hypothesis, which states that overeating during key developmental times has an influence on the offspring. The…
The blue catfish (Ictalurus Furcatus) is the largest species of North American catfish. The current world record stands at 143 pounds, which was caught in the John H. Kerr Reservoir (Bugg's Island Lake) located in Virginia. According to American Expedition, the average weight of a blue catfish is between 20 to 40 pounds. Given that the largest blue catfish ever caught was at the John H. Kerr Reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. Use the data below, which represents the summary statistics for 50 blue catfish caught at this reservoir, and a 0.05 significance level to test the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. n=50 ; ¯x=40.49 pounds; s=3.49 pounds a) Identify the null and alternative hypotheses? H0: H1: b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed c) Identify the appropriate significance…
A researcher wanted to study the relationship between coffee drinking and heart problems. She interviewed all patients at several area hospitals and found that patients in the hospital for treatment of heart problems drank an average of 2.7 cups of coffee per day (Margin of error is 1.4 cups) while those patients being treated for other problems averaged only 1.4 cups of coffee per day (Margin of error is 0.8 cups). What conclusion can you draw about coffee as a cause of heart problems from this information?A) Coffee is bad for you.B) Coffee is good for you.C) Heart patients drink more coffee than other patients.D) None, because only patients in hospitals were interviewed.
In a data set with 25 scores, if the value 16 occurs 12 times, what is its relative frequency?

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS