Variables Math: Math SAT score Verbal: Verbal SAT score Credits: Number of credits the student is registered for Year: Year in college (1=Freshman, 2=Sophomore, 3=Junior, 4=Senior) Exercise: Time (in minutes) spent exercising in a typical day Sleep: Time (in hours) spent sleeping in a typical day Veg: Are you a vegetarian (yes, no, some) Cell: Do you own a smart phone (yes, no) Data If you have not done so already, download the cell-phones datafile. As always, if you are prompted to login, just close the prompt and continue with the download. Upload the datafile into StatCrunch. Note: the symbol * in the spreadsheet indicates a missing value; this means that the associated individual did not answer the question. Context In 2015 college students at a large state university completed a survey about their academic and personal life. Questions ranged from "How many credits are you registered for this semester?" to "Would you define yourself as a vegetarian?" The researcher randomly selected 325 students from the university; 312 responded to the survey. Prompt The cell-phone datafile is available in the Data section below. Once again, here is the research question for this lab. Based on a recent study, roughly 80% of college students in the U.S. own a smartphone. Is the proportion of smartphone owners lower at this university? Respond to each of the following in your initial post. State your hypotheses in symbolic form and in words. (The following should be clear in your answer: the population of interest and the meaning of the proportion p in terms of the variable Cell.) StatCrunch uses a normal model to estimate the P-value probability. Verify that normality conditions are met.  Use StatCrunch to conduct the hypothesis test. (directions) Copy and paste the results (the StatCrunch output window) into your initial post. Give your P-value and interpret its meaning as a conditional probability. State a conclusion that answers the research question. Use a significance level of 5%. (Your answer should include the P-value and reference the population and the variable Cell.)

Business Statistics – Week #4 MidtermWeek 4 MidtermThere are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox below.Question 1The following shows the temperatures (high, low) and weather conditions in a given Sunday for some selected world cities. For the weather conditions, the following notations are used: c = clear; cl = cloudy; sh = showers; pc = partly cloudy.How many elements are in this data set?How many variables are in this data set?How many observations are in this data set?Name the variables and indicate whether they are categorical or quantitative.Question 2A student has completed 20 courses in the School of Arts and Sciences. Her grades in the 20 courses are shown below.Develop a frequency distribution and a bar chart for her grades.Develop a relative frequency distribution for her grades and construct a pie chart.Question 3The number of hours worked per week for a sample of ten students is shown below.Determine the median and explain its meaning.Compute the 70th percentile and explain its meaning.What is the mode of the above data? What does it signify?Question 4You are given the following information on Events A, B, C, and D.Compute P(D).Compute P(A ∩ B).Compute P(A | C).Compute the probability of the complement of C.Are A and B mutually exclusive? Explain your answer.Are A and B independent? Explain your answer.Are A and C mutually exclusive? Explain your answer.Are A and C independent? Explain your answer.Question 5When a particular machine is functioning properly, 80% of the items produced are non-defective. If three items are examined, what is the probability that one is defective? Use the binomial probability function to answer this question.Question 6The average starting salary of this year’s graduates of a large university (LU) is $20,000 with a standard deviation of $8,000. Furthermore, it is known that the starting salaries are normally distributed.What is the probability that a randomly selected LU graduate will have a starting salary of at least $30,400?Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break?What are the minimum and the maximum starting salaries of the middle 95.4% of the LU graduates?Question 7A simple random sample of 6 computer programmers in Houston, Texas revealed the sex of the programmers and the following information about their weekly incomes. What is the point estimate for the average weekly income of all the computer programmers in Houston?What is the point estimate for the standard deviation of the population?Determine a point estimate for the proportion of all programmers in Houston who are female.Question 8Students of a large university spend an average of $5 a day on lunch. The standard deviation of the expenditure is $3. A simple random sample of 36 students is taken.What are the expected value, standard deviation, and shape of the sampling distribution of the sample mean?What is the probability that the sample mean will be at least $4?What is the probability that the sample mean will be at least $5.90?

Purpose of Assignment The purpose of this assignment is to develop students' abilities to combine the knowledge of descriptive statistics covered in Weeks 1 and 2 and one-sample hypothesis testing to make managerial decisions. In this assignment, students will develop the ability to use statistical analysis and verify whether or not a claim is valid before advertising it. Assignment Steps Resources: Microsoft Excel®, Spicy Wings Case Study, Spicy Wings Data Set Develop a 700-word statistical analysis. Use descriptive statistics to compute a measure of performance John can use to analyze his delivery performance. Find the following for your measures:MeanStandard deviationSample sizeFive-number summary on the total time Conduct a formal hypothesis testing to help John decide whether to offer the delivery guarantee or not. Estimate the probability of an order taking longer than 30 minutes. Make a recommendation in a short narrative including the following:Based on the sampled data, should John offer the guarantee?What percent of the Saturday deliveries would result in a customer receiving a free order?What recommendations might help John improve his Saturday delivery times?Format your assignment consistent with APA format. Click the Assignment Files tab to submit your assignment. Team assignment, the only portion I need is: Conduct a formal hypothesis testing to help John decide whether to offer the delivery guarantee or not.