A laser ring gyroscope, or laser ring gyro (Figure 5), measures rotation using the constancy of the speed of light in any frame. Laser ring gyros have uses in navigation systems on aircraft and in detailed studies of Earth's rotation. Research this application of relativity, and summarize your findings in a brief report. Include a description of two applications of laser ring gyros and an analysis of the technology behind them.

In Milgram's studies, obedience to authority was highest when a. the person receiving orders witnessed others defying the authority figure. b. the person receiving orders wondered whether the person giving orders had legitimate authority. c. the person supposedly receiving the shocks was physically near the person receiving orders. d. the authority figure was from a prestigious institution. e. the person receiving the orders was female.

For statistical studies, U.S. states are often grouped by region: Northeast, Midwest, South, and West. The 1965 total public school enrollment (in millions) in each region was 8.8, 11.8, 13.8, and 7.6, respectively. The projected 2020 enrollment was 7.8, 10.8, 20.4, and 13 .6, respectively. Use two pie graphs to present this data and discuss any trends suggested by your graphs.

The director of graduate studies at a large college of business has the objective of predicting the grade point average (GPA) of students in an MBA program. The director begins by using the Graduate Management Admission Test (GMAT) score. A sample of 20 students who have completed two years in the program is selected and stored in GPIGMAT.

At the 0.05 level of significance, is there evidence of a linear relationship between GMAT score and GPA?

Studies show that when environmental factors impose an upper bound on the possible size of a population P(t), the population often tends to grow in such a way that the percentage rate of change of P(t) satisfies $\frac{100 P^{\prime}(t)}{P(t)}=A-B P(t)$ where A and B are positive constants. Where does the graph of P(t) have an inflection point? What is the significance of this point? (Your answer will be in terms of A and B.)

In the 1960s, children entering the Willowbrook State School, an institution for the intellectually disabled on Staten Island in New York, were deliberately infected with hepatitis. The researchers argued that almost all children in the institution quickly became infected anyway. The studies showed for the first time that different strains of hepatitis existed. This finding contributed to the development of effective vaccines. Despite these valuable results, explain why this study was unethical.

Phosphorus-32 is a commonly used radioactive nuclide in biochemical research, particularly in studies of nucleic acids. The half-life of phosphorus-32 is 14.3 days. What mass of phosphorus-32 is left from an original sample of 175 $\mathrm { mg }$ of $\mathrm { Na } _ { 3 }\ ^{ 32 } \mathrm { PO } _ { 4 }$ after 35.0 days? Assume that the atomic mass of $^ { 32 } \mathrm { P }$ is 32.0 $\mathrm { u }.$

Studies show that when environmental factors impose an upper bound on the possible size of a population $P(t)$, the population often tends to grow in such a way that the percentage rate of change of $P(t)$ satisfies

$$\frac{100 P^{\prime}(t)}{P(t)}=A-B P(t)$$

where $A$ and $B$ are positive constants. Where does the graph of $P(t)$ have an inflection point? What is the significance of this point? (Your answer will be in terms of $A$ and $B$.)

Explain why you cannot use the methods of this section to find the following probability.

A university is concerned about the academic standing of its intercollegiate athletes. A study committee chooses an SRS of 50 of the 316 athletes to interview in detail. Suppose that in fact 40% of the athletes have been told by coaches to neglect their studies on at least one occasion. What is the probability that at least 15 in the sample are among this group?

For each of the items below, triple underline any lowercase letter that should be capitalized. Then, put a slash mark through any uppercase letter that should not be capitalized.

Example 1. My $\cancel{\text{A}}$unt Bertha worked for the $\underset{ \underset{\_}{\_}}{}$ red $\underset{ \underset{\_}{\_}}{}$ cross for many years.

13. Most Juniors take English, social studies III, and a course in Science.

The director of graduate studies at a large college of business has the objective of predicting the grade point average (GPA) of students in an MBA program. The director begins by using the Graduate Management Admission Test (GMAT) score. A sample of 20 students who have completed two years in the program is selected and stored in GPIGMAT.

Construct a 95% confidence interval estimate of the population slope.

$Playbill$ magazine reported that the mean annual household income of its readers is $\$119,155$ ($Playbill$, January $2006$). Assume this estimate of the mean annual household income is based on a sample of $80$ households, and based on past studies, the population standard deviation is known to be $\sigma=\$30,000$.

Discuss what happens to the width of the confidence interval as the confidence level is increased. Does this result seem reasonable? Explain.

A new muscle relaxant is available. Researchers from the firm developing the relaxant have done studies that indicate that the time lapse between administration of the drug and beginning effects of the drug is normally distributed, with mean $\mu=38$ minutes and standard deviation $\sigma=5$ minutes. The drug is administered to one patient selected at random. What is the probability that the time it takes to go into effect is 35 minutes or less?

Because bismuth has several well-characterized solid, crystalline phases, it is used to calibrate instruments employed in high-pressure studies. The following phase diagram for bismuth shows the liquid phase and five different solid phases stable above $1 \mathrm{katm}(1000 \mathrm{~atm})$ and up to $300^{\circ} \mathrm{C}$.
(d) What phases are present at each of the triple points?