(10 pоints) Fоr eаch situаtiоn described stаte what the population of interest is. Also determine whether the percentage or value given is a statistic or a parameter. A community college has each faculty member report the total textbook cost for each section they teach. They determine that students will need an average of $42 per class for textbooks. In a sample of 1200 rental units for housing, 13% of them will give the tenant access to electric vehicle charging. (12 points)) A researcher is interested in the effects of exercise on sleep patterns. She recruits a panel of working Americans. To control for various factors, she asks each subject their age, height, weight, whether they smoke, and what state they live in. Then for a period of 6 months the panelists where fitness watches that track how many minutes of strenuous activity they engage in on a daily basis. The watches also track the amount of time each subject sleeps at night. Identify the population of interest for this study. Is this study an experiment or observational study? List the variables stated in this question. Classify each variable as quantitative or categorical. For the quantitative variables state the most likely units used to measure the variable. (10 points) The General Social Survey has been conducted since 1972. It is a survey of English-speaking persons 18 years or over within the United States. The survey explores a wide variety of social issues. One background question is marital status. One year, 1002 respondents reported being married. 203 were widowed, 400 were divorced, 81 were separated, 650 were never married, and 5 did not respond. Make a frequency and relative frequency table summarizing the marital status variable. (8 points) There are two histograms sketched below. One depicts the distribution of age at death for a population of individuals who died of natural causes (heart disease, cancer, and so forth). The other depicts age at death for a population of individuals who died from trauma (accidents, murder, suicide and so forth). Both histograms have the same scale on the horizontal axis. Indicate which histogram is which. Briefly explain your answer. Make your assumptions clear. (8 points) For each variable described below choose the histogram that best matches the variable. Histograms can be matched to more than one variable. Briefly justify your choices. Scores on a hard exam for a class of students. Scores on an easy exam for a class of students. The machines that fill soda bottles are not perfect there is some variation in how much soda gets poured into each bottle. The exact volume of soda is measured in a sample of 100 one-liter bottles. The machine is just as likely to under fill the bottles as to over fill. Consider distribution of ages of cars on the road. Most cars are newer. The longer a car lasts, the more likely it is to be taken off the road. A few vintage cars still remain. (16 points) Max ran a series of tests to see how fast his cell phone took to download a web page with some pictures on it. The cell phone took 2, 8, 20, 83, 14, 11 seconds to download the web page. You may use your calculator to make these computations but do not use any statistical functions. Do not use Google Sheets for this problem. I want to see that you can calculate these values from the formulas. Find the mean download time. Find the median download time. Find the sample standard deviation of the download times. (10 points) At Center Hospital there is some concern about the high turnover of nurses. A survey was done to determine how long (in months) nurses had been in their current positions. The responses in order from smallest to largest of 20 nurses were: 2 5 8 8 11 12 14 20 23 23 25 26 27 28 31 36 36 42 76 131 Find the five-number summary (Min, Q1, Median, Q3, and Max) for this data set. (10 points) Babies born after a gestation period of 32 – 35 weeks have a mean weight of 2625 grams and a standard deviation of 650 grams. Babies born after a gestation period of 40 weeks have a mean weight of 3550 grams and a standard deviation of 480 grams. Compute the z-scores for each of these two babies. Which baby weighs less relative to the others in their gestation group? (6 points) A used car dealer has Twenty-six cars on the lot which have an average distance driven of 65,000 miles. A twenty-seventh car is brought on the lot. What is the mileage of this new car if the average goes down to 63800 miles? (6 points) Below is the histogram describing the weighted average distance from each home to five major employment centers in Boston. Higher values indicate the home is farther from where the jobs are in the area. Is this histogram skewed left, symmetric, or skewed right? Which measure of center (mean or median) better describes this data? Which measure of spread (standard deviation, IQR, or range) better describes this data? (9 points) The boxplot below compares the highway gas mileage (miles per gallon) of hybrid car models by driveline type. A higher MPG value indicates better fuel efficiency. List the drive line types in order from smallest to largest median. List the driveline types in order from smallest IQR to largest IQR. Based on this boxplot, which driveline type should you choose if you want a fuel-efficient hybrid car and a wider selection of models? Briefly explain the feature of the graph that helped you make your choice. Copy the following and fill in the blank with your name. Below the statement add your signature and todays date.I ___________ certify that the work I submit with this exam has been my own, written in my own words, and done according to the rules above.______________________ __________________ (Signature) (Date)
904 Inc.'s relevаnt rаnge оf prоductiоn is 8,000 to 11,000 units. When it produces аnd sells 10,000 units, its average costs per unit are as follows: Average Cost per Unit Direct materials $[dm] Direct labor $[dl] Variable manufacturing overhead $[vmoh] Fixed manufacturing overhead $[fmoh] Fixed selling expense $3.00 Fixed administrative expense $2.00 Sales commissions $1.00 Variable administrative expense $0.50 If 904 Inc. increases manufacturing from 10,000 units to 10,001 units, how much incremental manufacturing costs will 904 Inc. incur?