Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > HR Management Posted 15 Nov 2017 My Price 8.00

confidence level of the CIs

Refer to Exercises 1 and 2.

(a) For the data in Exercise 1, find the confidence level of the CIs (36.86, 50.59) and (36.75, 57.16) for the population median distance.

(b) For the data in Exercise 2, find the confidence level of the CI (418, 832) for the population median histamine content.

Exercise 1

A question relating to a study of the echolocation system for bats is how far apart the bat and an insect are when the bat first senses the insect. The technical problems for measuring this are complex and so only n = 11 data points were obtained (in dm):

It is given that  = 45.18 and S = 11.48.

(a) Construct by hand a 95% CI for the mean distance µ. What assumptions, if any, are needed for the validity of this CI?

(b) Copy the data into the R object x, that is, by x=c(57.16, 48.42, 46.84, 19.62, 41.72, 36.75, 62.69, 48.82, 36.86, 50.59, 47.53), and do the normal Q-Q plot for this data. Comment on the appropriateness of the CI in part (a).

Exercise 2

Analysis of the venom of 7 eight-day-old worker bees yielded the following observations on histamine content in nanograms: 649, 832, 418, 530, 384, 899, 755.

(a) Construct by hand a 90% CI for the true mean histamine content for all worker bees of this age. What assumptions, if any, are needed for the validity of the CI?

(b) The true mean histamine content will be in the CI you constructed in part (a) with probability 90%. True or false?

 

Answers

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Status NEW Posted 15 Nov 2017 05:11 PM My Price 8.00

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