A laser beam shines from air upon a plastic block containing…
A laser beam shines from air upon a plastic block containing a rectangular cavity filled with liquid. The sides of the cavity are parallel with the sides of the block, as shown in the diagram. The beam travels through the plastic and into the cavity. Use the data below to calculate the index of refraction for the liquid, where all angles are measured relative to the normal: I. The beam strikes the plastic block at 50.0° to normal. II. The beam travels at 25.0° to normal inside the plastic block. III. The beam travels at 32.0° to normal inside the liquid cavity.
A laser beam shines from air upon a plastic block containing…
Questions
A lаser beаm shines frоm аir upоn a plastic blоck containing a rectangular cavity filled with liquid. The sides of the cavity are parallel with the sides of the block, as shown in the diagram. The beam travels through the plastic and into the cavity. Use the data below to calculate the index of refraction for the liquid, where all angles are measured relative to the normal: I. The beam strikes the plastic block at 50.0° to normal. II. The beam travels at 25.0° to normal inside the plastic block. III. The beam travels at 32.0° to normal inside the liquid cavity.
(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 2650 grams and a standard deviation of 660 grams. Babies born after a gestation period of 40 weeks have a mean weight of 3600 grams and a standard deviation of 470 grams.Suppose 34-week baby weighs 3350 grams. Suppose 40-week baby weighs 4125 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) Kai is dabbling in the stock market. He owns one share each of twenty stocks. The average price of his stocks is $33.25 per share. He decides to add a twenty-first stock. Now the average price is $32 per share. Assuming none of the stocks have changed in value, what was the price of that last share? (6 points) The histogram below summarizes the gas mileage in miles per gallon of a sample of 392 car models. 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 boxplots below indicate the distributions of daily high temperatures from May (5) to September (9). List the months in order from smallest median to largest median. List the months in order from smallest IQR to largest IQR. Professor Sklar prefers months where the temperatures are more stable. He doesn’t like having to wear a jacket one day and shorts the next. Which month would he prefer based on the boxplots above? Briefly explain 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)