A t-test is only able to compare two means at a time. A t-test is used to determine if there is a statistical significance between the means of two groups. This is one of the many tests used for hypothesis testing. An ANOVA or Analysis of Variance can compare many means at a time and has no set restrictions. This test will inform of a statistical difference between three or more independent groups. An ANOVA is used when there are independent variables or groups and a dependent variable that is continuous. Scenario The scenario used for this discussion are speech-language pathologist (SLP) various communication techniques used to increase the participation of families in the IEP meetings for students with communication related disabilities. The communication techniques used are phone calls emails notes home dojo messages and certified mail. The level of family participation may be directly related to the level of communication from the SLP. The dependent variable or response variable family participation in IEP meetings. The independent variables to be measured or the factors to be considered are SLPs the communication techniques used are phone calls emails notes home dojo messages and certified mail. Conducting an ANOVA would be best suited for this scenario because there are more than three or more groups to compare. This scenario would be considered a 5-way ANOVA as there are five factors and one response variable. Huck S. W. (2012).Reading statistics and research (6th ed.). Boston: Pearson Education Inc. Companion Website -http://www.readingstats.com/Sixth/index.htm

# Category: statistics

A Survey of 30 people to find out if they are left-handed or right-handed and use the following chart to create a contingency table with the information. Left handed= 6 Right handed = 24 Total Female lefty =4 righty=16 Male lefty Total= 2 righty=8 Answer the following questions about the information in your contingency table: If a person is randomly selected from the survey participants what is the probability that the person will be left-handed? If you randomly choose a female from the people you surveyed what is the probability that she is left-handed? What is the odds ratio of choosing a left-handed female? What is the relative risk of choosing a left-handed female? Example Green Blue Total Cats 40 (A) 20 (B) 60 (A+B) Dogs 30 (C) 40 (D) 70 (C+D) Total 70 (A+C) 60 (B+D) 130 (A+B+C+D) Probability of Green “ (A+C)/(A+B+C+D): 70/130 = 0.54 Probability of Green Cat “ A/(A+B): 40/60 = 0.67 Odds Ratio of Green Cat “ (A/B)/(C/D) or AD/BC: (4040)/(2030) = 1600/600 = 2.67 Relative Risk of Green Cat “ A/(A+C)/B/(B+D): (40/70)/(20/60) = 1.71 Skim through at least one of the following articles on left-handed vs. right-handed people from the Chamberlain Library. Answer the following question: How do the probabilities and percentages for your study compare to those in the study you read? https://search-proquest-com.chamberlainuniversity.idm.oclc.org/nahs/docview/211689160/DB2AB8D1E63B4638PQ/4?accountid=147674 https://search-proquest-com.chamberlainuniversity.idm.oclc.org/nahs/docview/1326739712/DB2AB8D1E63B4638PQ/10?accountid=147674

A random sample of 100 felony trials showed a sample mean waiting time between arrest and trial = 173 days with a population standard deviation of waiting times = 28 days. Find a 99% confidence interval for the population mean waiting tianswer to two decimal places

A researcher studied women with breast cancer to better understand the association between self-rated health and all-cause mortality (Prehn 1996). Women were interviewed twice and survival models were used to assess the association between self-rated health 12 months after breast cancer diagnosis and all-cause mortality. The following results were obtained from three different models: 1) State in words the meaning of the odds ratios for self-rated health in model 2. Be sure to include information on statistical significance. 2) State in words the meaning of the odds ratios for self-rated health in model 3. Discuss what these models show about the role of confounding in the self-rated health/mortality association. Justify your response and state your overall conclusions based on the analyses

A Pew Research survey asked 2 373 randomly sampled registered voters their political affiliation (Republican Democrat or Independent) and whether or not they identify as swing voters. 35% of respondents identified as Independent 23% identified as swing voters and 11% identified as both. Are being Independent and being a swing voter disjoint i.e. mutually exclusive? Draw a Venn or create a table summarizing the variables and their associated probabilities.Which is easier to input?Which is easier to understand? What percent of voters are Independent but not swing voters?How many voters are in this category? What percent of voters are Independent or swing voters? What percent of voters are neither Independent nor swing voters? Is the event that someone is a swing voter independent of the event that someone is a political Independent?

A police officer pulls over an individual that was driving recklessly. The police office is trying to determine if the individual should be arrested for driving under the influence of alcohol. Consider these Hypothesis Statements Ho: The individual is not driving under the influence of alcohol. HA: The individual is driving under the influence alcohol. 1. Please describe a Type I Error in this situation. 2. Please describe a Type II Error in this situation. 3. Which one do you think is worse?

A link to the probability example you chose to review for this discussion.( Probability When Rolling a Die “ YouTube ) An explanation of how your example demonstrates three of the following concepts related to statistical probability. Relative Frequency Confidence that an event will occur the next time Gamblers fallacy An explanation of how this example strengthened your understanding of statistical probability.

A marketing company based out of New York City is doing well and is looking to expand internationally. The CEO and VP of Operations decide to enlist the help of a consulting firm that you work for to help collect data and analyze market trends. You work for Mercer Human Resources. https://www.mercer.com/ lists prices of certain items in selected cities around the world. They also report an overall cost-of-living index for each city compared to the costs of hundreds of items in New York City (NYC). For example London at 88.33 is 11.67% less expensive than NYC. More specifically if you choose to explore the website further you will find a lot of fun and interesting data. You can explore the website more on your own after the course concludes. https://mobilityexchange.mercer.com/Insights/ cost-of-living-rankings#rankings Assignment Guidance: In the Excel document you will find the 2018 data for 17 cities in the data set Cost of Living. Included are the 2018 cost of living index cost of a 3-bedroom apartment (per month) price of monthly transportation pass price of a mid-range bottle of wine price of a loaf of bread (1 lb.) the price of a gallon of milk and price for a 12 oz. cup of black coffee. All prices are in U.S. dollars. You use this information to run a Multiple Linear Regression to predict Cost of living along with calculating various descriptive statistics. This is given in the Excel output (that is the MLR has already been calculated. Your task is to interpret the data). Based on this information in which city should you open a second office in? You must justify your answer. If you want to recommend 2 or 3 different cities and rank them based on the data and your findings this is fine as well. Deliverable Requirements: This should be Â¾ to 1 page no more than 1 single-spaced page in length using 12-point Times New Roman font. You do not need to do any calculations but you do need to pick a city to open a second location at and justify your answer based upon the provided results of the Multiple Linear Regression. The format of this assignment will be an Executive Summary. Think of this assignment as the first page of a much longer report known as an Executive Summary that essentially summarizes your findings briefly and at a high level. This needs to be written up neatly and professionally. This would be something you would present at a board meeting in a corporate environment. If you are unsure of an Executive Summary this resource can help with an overview. What is an Executive Summary? Things to Consider: To help you make this decision here are some things to consider: Based on the MLR output what variable(s) is/are significant? From the significant predictors review the mean median min max Q1 and Q3 values? It might be a good idea to compare these values to what the New York value is for that variable. Remember New York is the baseline as that is where headquarters are located. Based on the descriptive statistics for the significant predictors what city has the best potential? What city or cities fall are below the median? What city or cities are in the upper 3rd quartile?

6.1.2 1.) The commuter trains on the Red Line for the Regional Transit Authority (RTA) in Cleveland OH have a waiting time during peak rush hour periods of eight minutes (2012 annual report 2012). a.) State the random variable. X=The waiting time of the trains on the Red Line b.) Find the height of this uniform distribution. F(x)= 1/8-0 = 0.125 c.) Find the probability of waiting between four and five minutes. P(4

## Discussion 6-1

6-1 Discussion: Confidence Intervals Available on Saturday June 5 2021 11:59 PM EDT Subscribe The B&K Real Estate Company sells homes and is currently serving the Southeast region. It has recently expanded to cover the Northeast states. The B&K realtors are excited to now cover the entire East Coast and are working to prepare their southern agents to expand their reach to the Northeast. B&K has hired your company to analyze the Northeast home listing prices in order to give information to their agents about the mean listing price at 95% confidence. Your company offers two analysis packages: one based on a sample size of 100 listings and another based on a sample size of 1 000 listings. Because there is an additional cost for data collection your company charges more for the package with 1 000 listings than for the package with 100 listings. Sample size of 100 listings: 95% confidence interval for the mean of the Northeast house listing price has a margin of error of $25 000 Cost for service to B&K: $2 000 Sample size of 1 000 listings: 95% confidence interval for the mean of the Northeast house listing price has a margin of error of $5 000 Cost for service to B&K: $10 000 The B&K management team does not understand the tradeoff between confidence level sample size and margin of error. B&K would like you to come back with your recommendation of the sample size that would provide the sales agents with the best understanding of northeast home prices at the lowest cost for service to B&K. In other words which option is preferable? Spending more on data collection and having a smaller margin of error Spending less on data collection and having a larger margin of error Choosing an option somewhere in the middle For your initial post: Formulate a recommendation and write a confidence statement in the context of this scenario. For the purposes of writing your confidence statement assume the sample mean house listing price is $310 000 for both packages. I am # % confident the true mean . . . in context. Explain the factors that went into your recommendation including a discussion of the margin of error