The Analysis of Biological Data
2nd Edition
ISBN: 9781936221486
Author: Michael C. Whitlock, Dolph Schluter
Publisher: W. H. Freeman
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The CSV data is below:
"","cafe","library"
"A",85,85
"B",64,61
"C",180,179
"D",136,135
"E",152,152
"F",174,169
"G",145,145
"H",87,86
"I",121,121
"J",149,146
"K",140,136
"L",159,159
"M",98,96
"N",130,130
"O",56,52
"P",140,141
"Q",76,78
"R",150,148
"S",133,132
"T",125,122
"U",123,122
"V",85,84
"W",84,85
"X",94,96
"Y",156,154
(a) Based on the above data structure, we should use a (2-sample T test (pooled variance)/Paired T (Matched Pairs) Test/2-sample T test (unequal variance)/Leven's Test.)
(c) Carry out the appropriate statistical test and find the Test Statistic and P-value.
Test Statistic= (use three decimals)
Complete the interpretation and compute the P−value.
Assuming H0 is (false/uncertain/true), the probability of (observing stronger evidence to support the rejecting the/failing to reject the/observing stronger evidence against the) null hypothesis is ___ (use three decimals).
(d) Based on these samples, at the 5% level…
I need help on filling out this following table for statistics. Please help me find the chi squared value as well It has been suggusted that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the length of stay of a trip for pre- and post-retirees. A sample of 714 travelers were asked how long they stayed on a typical trip. The observed results of the study are found below. You may round all answers for this problem to the nearest hundredth. To import data to R, copy and paste the R codes below number=c(rep("4-7",421),rep("8-13",154),rep("14-21",88),rep("22_or_more",51)) retirement=c(rep("pre-retirement",248),rep("post-retirement",173),rep("pre-retirement",79),rep("post-retirement",75),rep("pre-retirement",36),rep("post- retirement",52),rep("pre-retirement",11),rep("post-retirement",40)) data=data.frame(number,retirement) table(data) With this information, construct a table of estimated expected values. Use two digits after the…
The purpose of this problem is to solve the Black-Scholes PDE with analytical techniques,
which will lead us back to the Black-Scholes formula. The technique is very similar to the
one used with the Feynman-Kac formula back in MATH 467.
Let's consider the PDE given by
with terminal condition f(T,x)
af
+
Ət
1
02
ર
.2მ2 f
af
მ2
+rx
მე
- rf = 0,
=
(x-K)+. The solution f(t, x) corresponds to the price
of a call option (given the initial condition) at time t if the stock price is x.
(a) The first two things that prevent us from solving this PDE directly are
(i) the fact that we have a terminal condition, instead of an initial condition;
(ii) the terms in front of the derivatives are not constant.
To address these, we use the transformation g(t, x) = ƒ(T − t,e³), equivalent to
f(t, x) = g(T-t, log(x)). Under this condition, determine the PDE and the initial
condition satisfied by g.
(b) Now, the PDE obtained in (a) should have an initial condition and constant coeffi-
cients, but it still…
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