Mathematical Statistics and Data Analysis
3rd Edition
ISBN: 9781111793715
Author: John A. Rice
Publisher: Cengage Learning
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Chapter 3.8, Problem 38P
To determine
Show that the number of iterations necessary to generate a random variable and determine the parameter of the geometric frequency
Show that in order to keep the number of iterations smalls,
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Suppose that the random change in value of a financial asset is X over the first day and Y over the second.
Suppose also that Var(X) =18 and Var(Y) = 26 In this case, the total change in the value over these two days
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explain what additional information you need to do so.
What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the depth of the dive. The US navy has done a lot of research on this topic. The navy defines the "optimal time" to be the time at each depth for the best balance between length of work period and decompression time after surfacing. Let x= depth of dive in meters and let y= optimal time in hours. A random sample of divers gave the following data. x 16.1 25.3 29.2 38.3 51.3 20.5 22.7
y 2.68 2.28 1.68 1.03 .75 2.38 2.20
find the predicted optimal time in hours for a dive depth of x=33 meters.(round your answer to two decimal places)
__hr
find an 80% confidence interval for y when x =33 meters.(round your answer to two decimal places)
lower limit=upper limit=
use a 1% level of significance to test the claim that b<0. (Round two decimal places)
t=critical t =
find a 90% confidence interval for b and interpret its meaning. (Round threee decimal places)
lower limit=upper limit=
What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the depth of the dive. The US navy has done a lot of research on this topic. The navy defines the "optimal time" to be the time at each depth for the best balance between length of work period and decompression time after surfacing. Let x= depth of dive in meters and let y= optimal time in hours. A random sample of divers gave the following data. x 16.1 25.3 29.2 38.3 51.3 20.5 22.7
y 2.68 2.28 1.68 1.03 .75 2.38 2.20
find the following.
Σx=
ΣY=
Σx2=ΣY2=Σxy=r= (round r to three decimal places)
use a 1% level of significance to test the claim that p<0. (Round your answers to two decimal places)
t=critical t=
Find Se, a and b. (Round your answers to five decimal places)
Chapter 3 Solutions
Mathematical Statistics and Data Analysis
Ch. 3.8 - Prob. 1PCh. 3.8 - Prob. 2PCh. 3.8 - Prob. 3PCh. 3.8 - Prob. 4PCh. 3.8 - Prob. 5PCh. 3.8 - Prob. 6PCh. 3.8 - Prob. 7PCh. 3.8 - Prob. 8PCh. 3.8 - Prob. 9PCh. 3.8 - Prob. 10P
Ch. 3.8 - Prob. 11PCh. 3.8 - Prob. 12PCh. 3.8 - Prob. 13PCh. 3.8 - Prob. 14PCh. 3.8 - Prob. 15PCh. 3.8 - Prob. 16PCh. 3.8 - Prob. 17PCh. 3.8 - Prob. 18PCh. 3.8 - Prob. 19PCh. 3.8 - Prob. 20PCh. 3.8 - Prob. 22PCh. 3.8 - Prob. 23PCh. 3.8 - Prob. 24PCh. 3.8 - Prob. 25PCh. 3.8 - Prob. 27PCh. 3.8 - Prob. 28PCh. 3.8 - Prob. 29PCh. 3.8 - Prob. 30PCh. 3.8 - Prob. 31PCh. 3.8 - Prob. 32PCh. 3.8 - Prob. 33PCh. 3.8 - Prob. 34PCh. 3.8 - Prob. 35PCh. 3.8 - Prob. 38PCh. 3.8 - Prob. 39PCh. 3.8 - Prob. 44PCh. 3.8 - Prob. 45PCh. 3.8 - Prob. 46PCh. 3.8 - Prob. 47PCh. 3.8 - Prob. 48PCh. 3.8 - Prob. 50PCh. 3.8 - Prob. 51PCh. 3.8 - Prob. 52PCh. 3.8 - Prob. 53PCh. 3.8 - Prob. 54PCh. 3.8 - Prob. 55PCh. 3.8 - Prob. 56PCh. 3.8 - Prob. 57PCh. 3.8 - Prob. 58PCh. 3.8 - Prob. 60PCh. 3.8 - Prob. 61PCh. 3.8 - Prob. 62PCh. 3.8 - Prob. 63PCh. 3.8 - Prob. 64PCh. 3.8 - Prob. 65PCh. 3.8 - Prob. 66PCh. 3.8 - Prob. 67PCh. 3.8 - Prob. 68PCh. 3.8 - Prob. 69PCh. 3.8 - Prob. 70PCh. 3.8 - Prob. 71PCh. 3.8 - Prob. 72PCh. 3.8 - Prob. 73PCh. 3.8 - Prob. 74PCh. 3.8 - Prob. 75PCh. 3.8 - Prob. 76PCh. 3.8 - Prob. 77PCh. 3.8 - Prob. 78PCh. 3.8 - Prob. 79PCh. 3.8 - Prob. 80PCh. 3.8 - Prob. 81P
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.arrow_forwardWhat is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the depth of the dive. The US navy has done a lot of research on this topic. The navy defines the "optimal time" to be the time at each depth for the best balance between length of work period and decompression time after surfacing. Let x= depth of dive in meters and let y= optimal time in hours. A random sample of divers gave the following data. x 16.1 25.3 29.2 38.3 51.3 20.5 22.7 y 2.68 2.28 1.68 1.03 .75 2.38 2.20 find the following. Σx= ΣY= Σx2=ΣY2=Σxy=r= (round r to three decimal places) use a 1% level of significance to test the claim that p<0. (Round your answers to two decimal places) t=critical t= Find Se, a and b. (Round your answers to five decimal places) find the predicted optimal time in hours for a dive depth of x=33 meters.(round your answer to two decimal places) __hr find an 80% confidence interval for y when x =33 meters.(round your answer to two decimal places)…arrow_forwardIf X is a Poisson variable such that P(X =2) = 9P(X= 4) + 90P(X = 6), find the mean and variance of X.arrow_forward
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- A statistical program is recommended. An automobile dealer conducted test to determine whether the time needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data (time in minutes) obtained follow. x₂ Analyzer 0 Computerized Electronic Define all variables. Let x₁ = 0 if a computerized analyzer is used, or let x₁ = X3 O Ho: B₁ * 0 H₂: B₁ = 0 0 Compact 1 52 Car 41 Compact Intermediate Full Size Intermediate O Ho: One or more of the parameters is not equal to zero. H₁: B₂ =B3 = 0 Car 57 Find the p-value. (Round your answer to three decimal places.) p-value = 43 Use α = 0.05 to test for any significant differences between the two analyzers. State the null and alternative hypotheses. O Ho: B₁ = 0 H₂: B₁ = 0 Full Size o Ho: Ba = By = 0 H₂: One or more of the parameters is not…arrow_forwardDerive that the variance of the forecasted error using Exponential Smoothing (ES) method is given by 20² Var(et) 2 – α Where o² is the variance of individual observation and a is the parameter in the ES method. =arrow_forwardFind kurtosis using quartile deviation.arrow_forward
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