Sheila's measured glucose level one hour after a sugary drink varies according to the Normal distribution with μμ = 130 mg/dl and σσ = 15 mg/dl. What is the level L such that there is probability only 0.15 that the mean glucose level of 4 test results falls above L?

L=

A study of the career paths of hotel general managers sent questionnaires to an SRS of 210 hotels belonging to major U.S. hotel chains. There were 88 responses. The average time these 88 general managers had spent with their current company was 12.7 years. (Take it as known that the standard deviation of time with the company for all general managers is 3.6 years.)

(a) Find the margin of error for an 85% confidence interval to estimate the mean time a general manager had spent with their current company:  years

(b) Find the margin of error for a 99% confidence interval to estimate the mean time a general manager had spent with their current company:  years

(c) In general, increasing the confidence level  the margin of error (width) of the confidence interval. (Enter: ''DECREASES'', ''DOES NOT CHANGE'' or ''INCREASES'', without the quotes.)

Consider a 2850-lb automobile clocked by law-enforcement radar at a speed of 85.5 mph (miles/hour). If the position of the car is known to within 5.0 feet at the time of the measurement, what is the uncertainty in the velocity of the car?

1. Why does Richardson find Malinowski’s model of ethnographic fieldwork archaic?

a) How has the traditional informant-ethnographer relationship changed?

**Reference-------article--Miles Richardson--Global World--Myth Teller

Matt and Lisa are driving together to a shopping mall, looking forward to buying some clothes. Matt wants to stop by Sports Authority to buy the new jersey of his favorite hockey team, whereas Lisa wants to go to Banana Republic to buy a new outfit. Both find the idea of going together to both stores a little boring, so they agreed beforehand to split and go individually to their desired store. After shopping individually, they decide to meet at Applebee’s to grab some food before leaving. The Banana republic, the Sports Authority shops and the Applebee’s are located at (2, 3), (5, 5) and (1, 4), respectively. Suppose that the parking lot is located in a straight line given by the function y = 1/3x − 1. That is, customers can park in the mall as long as they do it on top of the line. 3-1. Assuming rectilinear distances, where should they park the car in order to minimize the total distance they must walk? Explain your results. 3-2. Suppose Matt is recovering from a leg injury, so they decided that Matt’s walking distance is twice as valuable as Lisa’s walking distance. Find the new optimal parking spot.

1 ____( solve_R__RStudio )

You’ve been hired as a consultant for a new planned NYC “quadrathalon”, in which participants run from Hunter’s Point South Park in Queens to Socrates Sculpture garden, take a kayak from there to Roosevelt Island, swim from there to John Jay park on Manhattan, cycle across to the Boat Basin, then swim down to a concluding party at Riverside pier 1. The organizers are worried about pollution while swimming in the two rivers. Studies have show the East River has unacceptable pollution levels a percentage of time given by p_E in the data sheet, while the Hudson river has unacceptable levels p_H of the time. Assuming these probabilities are independent answer the following:

p_E = 52   p_H = 22   p_HE = 37

1. What is the probability of having only one river contaminated? (they can move the kayak section from one river to the other).
2. What is the probability of having neither river contaminated?

You have received new information: if the East River is contaminated, the chances of the Hudson river also being contaminated goes up to p_HE (Manhattan pollutes both).   Redo the questions above using this new information.

____( solve_R__RStudio )

You’ve been hired as a consultant for a new planned NYC “quadrathalon”, in which participants run from Hunter’s Point South Park in Queens to Socrates Sculpture garden, take a kayak from there to Roosevelt Island, swim from there to John Jay park on Manhattan, cycle across to the Boat Basin, then swim down to a concluding party at Riverside pier 1. The organizers are worried about pollution while swimming in the two rivers. Studies have show the East River has unacceptable pollution levels a percentage of time given by p_E in the data sheet, while the Hudson river has unacceptable levels p_H of the time. Assuming these probabilities are independent answer the following:

p_E = 52   p_H = 22   p_HE = 37

-What is the probability of having only one river contaminated? (they can move the kayak section from one river to the other).

-What is the probability of having neither river contaminated?

You have received new information: if the East River is contaminated, the chances of the Hudson river also being contaminated goes up to p_HE (Manhattan pollutes both).   Redo the questions above using this new information.

A singer quartet consisting of Angel, Betty, Carlos and Diana wants to practice their singing. However due to the pandemic they decide to do so at a baseball park to keep social distancing. Angel stands on the home plate, Betty goes to third base, Carlos to second base and Diana to first base. While they are getting ready a bird flies along the line joining third base and home, Betty says “That bird is singing at a frequency of 350 hertz”, but Angel says “No, it is singing at 340 hertz.” Soon after the bird leaves the park Diana sings a 440 hertz note, Carlos hears it 0.1 second later and sings a 261 hertz note.

Part a

Make a drawing of the bird’s flight path along the line joining third base and home, with an arrow indicating the direction of flight, towards home or away from home.

Part b

Explain why you chose that direction, include any equations that support your explanation.

Part c

How far is Carlos from Diana? Show your calculations.

Part d

What is the period of Carlos’ note at 261 Hertz. Include your calculations

An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use . Factor A is method of loading and unloading; Factor B is the type of ride.

Set up the ANOVA table (to whole number, but -value to 2 decimals and value to 1 decimal, if necessary). The p-value for Factor A is? What is your conclusion with respect to Factor A? The p-value for Factor B is? What is your conclusion with respect to Factor B? The p-value for the interaction of factors A and B is? What is your conclusion with respect to the interaction of Factors A and B? What is your recommendation to the amusement park?