A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 706.3. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 44 high-income individuals and found the sample mean credit score to be 725.6 with a standard deviation of 81.6. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the α = 0.05 level of significance.---State the null and alternative hypotheses.$ H_0: \mu $\[ \text{[Dropdown Box]} \]$ H_1: \mu $\[ \text{[Dropdown Box]} \](Type integers or decimals. Do not round.)

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Sleep apnea is a condition in which the sufferers stop breathing momentarily while they are asleep. This condition results in lack of sleep and extreme fatigue during waking hours. A current estimate is that 10.9 million out of the 312.7 million Americans suffer from sleep apnea, or approximately 3.5 % . A safety commission is concerned about the percentage of commercial truck drivers who suffer from sleep apnea. They do not have any reason to believe that it would be higher or lower than the population's percentage. To test the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 3.5 % , a simple random sample of 308 commercial truck drivers is examined by a medical expert, who concludes that 19 suffer from sleep apnea. Does this evidence support the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 3.5 % ? Use a 0.05 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test.…
Hypertension is when an adult is classified as having high blood pressure (above 130 systolic blood pressure is considered hypertension). Researchers want to know the proportion of adult North Americans (above age of 18) that have hypertension. Based on a study of 3532 adult North Americans, 1219 of them were classified as having hypertension.
Hypertension is when an adult is classified as having high blood pressure (above 130 systolic blood pressure is considered hypertension). Researchers want to know the proportion of adult North Americans (above age of 18) that have hypertension. Based on a study of 3532 adult North Americans, 1219 of them were classified as having hypertension.
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The U.S. Census Bureau reported that in 2015,the proportion of adult Americans age 25 and olderwho have a bachelor’s degree or higher is 0.325(“Educational Attainment in the United States:2015,” census.gov, retrieved January 22, 2017).Consider the population of all adult Americans age25 and over in 2015 and define 户to the proportionof people in a random sample from this populationwho have a bachelor’s degree or higher.a. Would 卢based on a random sample of only 10people from this population have approximatelya normal distribution? Explain why or why not.b. What 征e the mean value and standard deviation of户based on a random sample of size 400?c. Suppose that the sample size is n = 200 ratherthan n = 400. Does the change in sample sizeaffect the mean and standard deviation of thesampling distribution of 卢？ If so, what are thenew values for the mean and standard deviation?If not, explain why not.
TechBuzz is an IT company that monitors the status of large data warehouses. According to TechBuzz, last year the majority of the data servers used by energy-based companies were over-utilized. A sample of 190 servers (all used by energy-based companies) showed that 142 were over-utilized, 12 were used efficiently, and 36 were underutilized. a. What is the point estimate of the proportion of the servers that were under-utilized? b. Determine the margin of error and provide a 95% confidence interval for the proportion of the servers that were over-utilized. c. What is the minimum sam
A newspaper infographic titled "Social Media Jeopardizing Your Job?" summarized data from a survey of 1,850 recruiters and human resource professionals. The infographic indicated that 54% of the people surveyed had reconsidered a job candidate based on his or her social media profile. Assume that the sample is representative of the population of recruiters and human resource professionals in the United States. USE SALT (a) Use the given information to estimate the proportion of recruiters and human resource professionals who have reconsidered a job candidate based on his or her social media profile using a 95% confidence interval. (Round your answers to three decimal places.) Give an interpretation of the interval in context. O There is a 95% chance that the true proportion of recruiters and human resource professionals who have reconsidered a job candidate based on his or her social media profile falls directly in the middle of this interval. O There is a 95% chance that the true…
Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is more than the cutoff of 720. She finds that a random sample of 40 people had a mean FICO score of 760 with a standerd deviation of 95, Can the economist conclude that the mean FICO score is greater than 720? Use the a=0.01 level of significance and the P-value method with the T1-B4 Plus calculator. Part 1 of 4 State the appropriate null and altemate hypotheses. H D-0 H: This hypothesis test is a (Choose one) test. left-tailed right-tailed two-tailed
Suppose an internet marketing company wants to determine the current percentage of customers who click on ads on their smartphones. How many customers should the company survey in order to be 90% confident that the estimated proportion is within five percentage points of the true population proportion of customers who click on ads on their smartphones?
In the Star and Tribune newspaper, there is an article entitled "1 in 8 school buses fail tests." The article says that the overall statewide proportion of school buses that fail safety tests is 9%. However, one bus company has a higher rate of over 12%. Assume that we want a new estimate for the statewide proportion of school buses that fail the safety inspection. We take a sample of 500 buses and find that 90 buses fail the safety inspection. Based on the new sample data, I construct this 90% confidence interval estimate for p: 152 < p < .208. Explain what this confidence interval means. O I am 90% sure that the number of buses that fail the inspection is between.152 and .208. O I am 95% sure that the true proportion of buses that fail the inspection is between .152 and .208. O I am 90% sure that the proportion of buses in this sample that fail the inspection is between .152 and .208. O I am 90% sure that the true proportion of buses that fail the inspection is between .152 and .208.
A psychologist wanted to know if students in her class were more likely to cheat if they were low achievers. She divided her 60 students into three groups (low, middle, and high) based on their mean exam score on the previous three tests. She then asked them to rate how likely they were to cheat on an exam if the opportunity presented itself with a very limited chance for consequences. The students rated their desire to cheat on a scale ranging from 1-100, with lower numbers indicating less desire to cheat. Before opening the data, what would you hypothesize about this research question? Open the data set. Before running any statistical analyses, glance through the data. Do you think that your hypothesis will be supported? Conduct descriptive analyses and report them here. Conduct a one-way ANOVA. Report your statistical findings (including any applicable tables in APA format) here. What would you conclude from this analysis? What would be your next steps, if this…
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