STA2023 QUIZ 6
Q1
What is the relationship between the linear correlation coefficient r and the slope b1 of a regression line?
Choose the correct answer below:
A. The value of r will always be larger than the value of b1.
B. The value of r will always be smaller than the value of b1.
C. The value of r will always have the opposite sign of the value of b1.
D. The value of r will always have the same sign as the value of b1.
Q2
Assume that when human resource managers are randomly selected, 41% say job applicants should follow up within two weeks. If 5 human resource managers are randomly selected, find the probability that exactly 3 of them say job applicants should follow up within two weeks.
The probability is _____. (Round to four decimal places as needed.)
Q3
Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using α=0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities?
The linear correlation coefficient r is _____. (Round to three decimal places as needed.)
There is/is not sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a significance level of α=0.05.
Do the results suggest that imported lemons cause car fatalities?
- A. The results suggest that imported lemons cause car fatalities.
- B. The results suggest that an increase in imported lemons causes car fatality rates to remain the same.
- C. The results do not suggest any cause-effect relationship between the two variables.
- D. The results suggest that an increase in imported lemons causes an increase in car fatality rates.
What are the null and alternative hypotheses?
- A. H0:ρ=0, H1:ρ<0
- B. H0:ρ=0, H1:ρ≠0
- C. H0:ρ=0, H1:ρ>0
- D. H0:ρ≠0, H1:ρ=0
Construct a scatterplot. Choose the correct graph below.
Q4
A data set includes data from student evaluations of courses. The summary statistics are n=86, xˉ=3.41, s=0.57. Use a 0.05 significance level to test the claim that the mean of the population of student course evaluations is equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
What are the null and alternative hypotheses?
A. H0:μ=3.50, H1:μ<3.50
B. H0:μ=3.50, H1:μ>3.50
C. H0:μ=3.50, H1:μ≠3.50
D. H0:μ≠3.50, H1:μ=3.50
Determine the test statistic.
__________ (Round to two decimal places as needed.)
Determine the P-value.
__________ (Round to three decimal places as needed.)
State the final conclusion that addresses the original claim.
Q5
Assume a significance level of α=0.05 and use the given information to complete parts (a) and (b) below.
Original claim: Less than 45% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.0431.
a. State a conclusion about the null hypothesis. (Reject H0H0 or fail to reject H0.) Choose the correct answer below.
A. Reject H0 because the P-value is less than or equal to α.
B. Reject H0 because the P-value is greater than α.
C. Fail to reject H0 because the P-value is greater than α.
D. Fail to reject H0 because the P-value is less than or equal to α.
b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion?
A. The percentage of adults that would erase all of their personal information online if they could is more than or equal to 45%.
B. There is not sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is less than 45%.
C. There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is less than 45%.
D. The percentage of adults that would erase all of their personal information online if they could is less than 45%.
Q6
mong fatal plane crashes that occurred during the past 60 years, 237 were due to pilot error, 67 were due to other human error, 434 were due to weather, 100 were due to mechanical problems, and 262 were due to sabotage.
a. Construct the relative frequency distribution. Complete the relative frequency distribution below. (Round to one decimal place as needed.)
b. What is the most serious threat to aviation safety, and can anything be done about it? Choose the correct answer below.
- A. Pilot error is the most serious threat to aviation safety. Pilots could be better trained.
- B. Mechanical problems are the most serious threat to aviation safety. New planes could be better engineered.
- C. Sabotage is the most serious threat to aviation safety. Airport security could be increased.
- D. Weather is the most serious threat to aviation safety. Weather monitoring systems could be improved
Q7
Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1.
Draw a graph and find P15P15, the 15th percentile. This is the bone density score separating the bottom 15% from the top 85%.
Which graph represents P15? Choose the correct graph below.
The bone density score corresponding to P15 is _____ (Round to two decimal places as needed.)
Q8
In a study involving high school students aged 16 years and above, researchers aim to determine if there is a relationship between two risky behaviors: texting while driving and driving under the influence of alcohol. The researchers collected survey data summarized in the table below. Using a significance level of 0.05, test the claim that these two risky behaviors are independent.
Determine the null and alternative hypotheses:
- H0: There is no association between texting while driving and driving under the influence of alcohol (the behaviors are independent).
- H1: There is an association between texting while driving and driving under the influence of alcohol (the behaviors are not independent).
Calculate the chi-square test statistic using the data provided (round to two decimal places)
Determine the p-value corresponding to the test statistic (round to three decimal places).
Based on the p-value, conclude whether to reject or fail to reject the null hypothesis at the 0.05 significance level.
State whether the data suggests a relationship between the two risky behaviors.
Q9
The following data represents the number of hurricanes that occurred in each year in a certain region. The data is listed in order by year:
2,10,10,20,17,17,10,13,17,18,9,15,13,10,18,10
Calculate the following measures of variation for the sample data:
- The range of the sample data (round to one decimal place).
- The standard deviation of the sample data (round to one decimal place).
- The variance of the sample data (round to one decimal place).
What important feature of the data is not revealed through the different measures of variation?
A. The measures of variation do not reveal the difference between the largest number of hurricanes and the smallest number of hurricanes in the data.
B. The measures of variation reveal nothing about how the numbers of hurricanes are spread.
C. The measures of variation reveal nothing about the pattern over time.
D. The measures of variation reveal no information about the scale of the data.
Q10
The histogram displayed represents the weights (in pounds) of members of a high school debate team.
Determine the total number of team members represented in the histogram.
Options:
The histogram represents [ ] debate team members.
Q11
The random variable X represents the number of color television sets owned by a randomly selected household with an annual income between $15,000 and $29,999. The probability distribution of X is given below:
Find the expected value E(X) for the random variable X.
Round your answer to three decimal places as needed.
Q12
Consider the following scenarios and determine the probabilities:
Find the probability that when a single six-sided die is rolled, the outcome is 1.
(Round your answer to three decimal places as needed.)
Find the probability that when a coin is tossed, the result is tails.
(Round your answer to three decimal places as needed.)
Find the probability that when a six-sided die is rolled, the outcome is 18.
(Round your answer to three decimal places as needed.)
Q13
The table below shows the drive-thru order accuracy at four popular fast-food chains. The data lists the number of orders that were accurate and those that were not:
Assume that one order is randomly selected from the data.
Calculate the probability that the selected order is not accurate.
(Round your answer to three decimal places as needed.)
Q14
Assume that adult IQ scores are normally distributed with a mean of 101.8 and a standard deviation of 22.5.
Find the probability that a randomly selected adult from this group has an IQ greater than 134.1.
Hint: Draw a graph to help visualize the problem.
Round your answer to four decimal places as needed.
Q15
Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal.
Use a 0.05 significance level to test the claim that males and females have the same mean body mass index (BMI).
What are the null and alternative hypotheses?
A. H0:μ1=μ2, H1:μ1>μ2
B. H0:μ1≠μ2H, H1:μ1<μ2
C. H0:μ1≥μ2 , H1:μ1<μ2
D. H0:μ1=μ2 , H1:μ1≠μ2
Calculate the test statistic t (round to two decimal places as needed).
Determine the P-value corresponding to the test statistic (round to three decimal places as needed).
State the conclusion for the test:
A. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
B. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
C. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
D. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
Q16
Researchers collected data on the number of hospital admissions resulting from motor vehicle crashes. The results are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Use a 0.05 significance level to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected.
State the hypotheses for this test:
Let μd be the mean of the differences in the numbers of hospital admissions.
H0:μd__0
H1:μd__0
Find the value of the test statistic tt (round to three decimal places as needed).
State the result of the test:
A. There is sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions do not appear to be affected.
B. There is not sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions appear to be affected.
C. There is sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions appear to be affected.
D. There is not sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions do not appear to be affected.
Q17
Questions also answered
Now more than ever, music has become a democratic tool that has been used for political, cultural, and social equality. It is evident that music is changing as society changes, an indicator that the tool is in tandem with democracy.
A Gallup poll of 1236 adults showed that 12% of the respondents believe that it is bad luck to walk under a ladder. Consider the probability that among 30 randomly selected people from the 1236 who were polled, there are at least 2 who have that belief. Given that the subjects surveyed were selected without replacement, the events are not independent. Can the probability be found by using the binomial probability formula? Why or why not?
Unit 2 Discussion: Probability and Probability Distributions
Student's Name
Institutional Affiliation
Course Code and Name
Instructor's Name
Due Date
Pirated Software
Pirated software is the use of software that allows others to copy, distribute, and operate other programs. Pirated software is an ethical issue due to digital theft and denying another individual who has rightfully designed a life out of software development (Cascavilla et al., 2021). The consequences of using pirated software are that other software developers have been led to legal risks owing to the respective demands of their users. This paper focuses on determining how pirated software is an ethical issue when marketing connected devices.
Volkert, D., Candela, L., & Bernacki, M. (2018). Student motivation, stressors, and intent to leave nursing doctoral study: A national study using path analysis. Nurse Education Today, 61, 210–215. https://doi.org/10.1016/j.nedt.2017.11.033
Part I: Comprehension
Introduction
· Yes, the authors are qualified as all of them are scholars and teach at various universities, such as the University of West Georgia and the University of Nevada in the Department of Nursing and psychology, which are relevant to the study.
Germany
Germany is one of the largest countries in Europe by land mass; this has largely contributed to its popularity, making it one of the most known countries of the Nordic region. Besides being populous, the country enjoys the largest economy in Europe, which is mainly driven by three sectors: agriculture, service, and industry sectors. The country's large portion of the population is middle-income and is largely contributed by the service, industry, and agriculture sectors. Ever since its unification in the 20th century, the country has seen numerous politically motivated events that have seen the country be plunged into the First and Second World Wars, with the latter leaving the country divided between two political ideologies. The focus of this paper is to determine how culture, legislation, economic and political systems have impacted the conduction of business in the country.
The manager should not be allowed to disclose the information of a tenant as the latter has a reasonable expectation of privacy unless the information is relevant in regard to the safety of other tenants (Porro, 2019). Thus, the manager should ensure that other tenants follow through with the directive and not have their indifferences determine their tenancy. In summation, the manager should withhold the information to prevent others from having access to it and should accord the new applicant as a potential tenant who has no bearing in regard to political indifferences that have caused a rift between the two parties.
Policy topic: GUN CONTROL
Directions: Do some research and find 3 existing or proposed recent U.S. policies (laws, statutes, etc.) published or proposed on this topic. Do not describe policies proposed/implemented prior to 2000. In addition to a brief description of the policy, you will also indicate the stance (for or against), level of implementation, and provide a link to the actual policy.
Policy 1
Policy name (Precise bill/policy/legislation name): Bipartisan Safer Communities Act (BSCA) gun safety bill.
Policy link (Include a direct link to the policy. Do not use Wikipedia, news articles, etc. Go directly to the source for information): https://www.whitehouse.gov/briefing-room/statements-releases/2023/03/14/fact-sheet-president-biden-announces-new-actions-to-reduce-gun-violence-and-make-our-communities-safer/
A multicultural workplace has become a trend rather than an exception in many organizations. In the worldwide community where every organization strives to contribute, and this stage of profound globalization is unfolding. Organizations that do not adapt to diversity in its workplace will have difficulty staying competitive (Tamn et al., 2019). Over the past two decades, companies have appreciated employee diversity as crucial to economic sustainability (Shah et al., 2021). Diversity at the workspace is of priceless value, because it coalesces numerous latent capabilities and experiences, ultimately optimizing efficiency and effectiveness of the whole organization (Inegbedion and his colleagues, 2020).
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