6. The optimal time for a scuba diver to be on the bottom of the ocean depends on the depth of the dive.The U.S Navy has done a lot of research on this topic. The Navy defines the "optimal time" to be time ateach depth for the best balance between length of work period and decompression time after surfacing.Let x be the depth in meters, and let y be the optimal time in hours. A random sample of divers gave thefollowing data. Use 1% level of significance to test the claim that p< 0.X 14.1 24.3 30.2 38.3 51.3 20.5 22.7| 2.58 2.08 1.58 1.03 0.75 2.38 2.20EXCEL OR SPSS RESULT:CorrelationsPearson Correlation-.976"1Sig. (1-tailed).000N77Pearson Correlation-976"1Sig. (1-tailed).000N77**. Correlation is significant at the 0.01 level (1-tailed).

Given: Correlation coefficient, r=-0.976 X Y 14.1 2.58 24.3 2.08 30.2 1.58 38.3 1.03…

Answered: The optimal time for a scuba diver to…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...

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At the Blood Bank, they know that O+ blood is the most common blood type and that 40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6% of the people have A- blood. Half of the people have blood type A or B. Let: X= number of people who have blood type O+ Y= number of people who have blood type A- Z= number of people who have blood type A or B a) Consider a random sample of n=9 people who donated blood over the past three months. The expected number of people with blood type O+ is and the expected number of people with blood type A- is Calculate the following probabilities: P(X=5)= __________ Round your answer to 4 decimal places. P(X>2)= __________ Round your answer to 4 decimal places. b) Consider a random sample of n=40 people who donated blood over the past three months. Use the relevant probability function of Y to calculate the probability that 2 people in the random sample will have type A- blood. ________…
*A Consumer is willing to trade 3 unit of x for unit 1 of y ,when she has 6 unit of x and 5 unit of y.she also willing to trade in 6 unit of x for 2 unit of y,when she has 12 unit of x and 3 unit of y.she is indifferent between bundle (6,5) and bundle (12,3).what is the utility function of for goods x and y? hint: what is the shape of indifference curve?*
In his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of river otters during the mating season. An important role in the bonding process of river otters is very short periods of social grooming. After extensive observations, Dr. Beckel found that one group of river otters under study had a frequency of initiating grooming of approximately 1.7 for each 10 minutes. Suppose that you are observing river otters for 30 minutes. Let r = 0, 1, 2, ... be a random variable that represents the number of times (in a 30-minute interval) one otter initiates social grooming of another. a) What is ?? b) Write out the formula for the probability distribution of the random variable r. P(r) = _________ c) Find the probability that one otter will initiate social grooming four or more times during the 30-minute observation period. (Round your answer to four decimal places.)
In his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of river otters during the mating season. An important role in the bonding process of river otters is very short periods of social grooming. After extensive observations, Dr. Beckel found that one group of river otters under study had a frequency of initiating grooming of approximately 1.7 for each 10 minutes. Suppose that you are observing river otters for 30 minutes. Let r = 0, 1, 2, ... be a random variable that represents the number of times (in a 30-minute interval) one otter initiates social grooming of another. a) Find the probabilities that in your 30 minutes of observation, one otter will initiate social grooming four times, five times, and six times. (Round your answers to four decimal places.) P(4) = P(5) = P(6) = b) Find the probability that one otter will initiate social grooming less than four times during the 30-minute observation period. (Round your answer…

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