Question

Assume that body masses of Goldfinch birds follow a normal distribution, with standard deviation equal to 0.05 oz. Imagine that you are asked to help an ornithologist who would like to make some inference about the average body mass of Goldfinch birds. In particular, she would like to create a 99% upper confidence bound, which is described below, for the average body mass of Goldfinch birds.

(a) DERIVE a formula to create these upper bounds. i.e a formula such that when applied to the random samples {X1, X2, · · · , Xn} , the values obtained on 99% of the samples will be really greater than the true average mass of the birds. Note that sample size n can be any positive integer greater than 2.

(b) Let 0.40, 0.45, 0.49, 0.52 ,in unit of oz, be 4 measurements of body mass from 4 randomly selected Goldfinch birds. Based on the given sample data, compute a 99% upper confidence bound and state what your inference/conclusion is.

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answered by: anonymous

Assume that body masses of Goldfinch birds follow a normal
distribution, with standard deviation equal to 0.05 oz. Imagine
that you are asked to help an ornithologist who would like to make
some inference about the average body mass of Goldfinch birds. In
particular, she would like to create a 99% upper confidence bound,
which is described below, for the average body mass of Goldfinch
birds.
(a) DERIVE a formula to create these upper bounds. i.e a formula
such that...

Assume that body masses of Goldfinch birds follow a normal
distribution, with standard deviation equal to 0.05 oz. Imagine
that you are asked to help an ornithologist who would like to make
some inference about the average body mass of Goldfinch birds. In
particular, she would like to create a 99% upper confidence bound,
which is described below, for the average body mass of Goldfinch
birds.
Let 0.40, 0.45, 0.49, 0.52 ,in unit of oz, be 4 measurements of
body...

Q1. [5 pts] Suppose that Z follows a standard normal. Calculate
the probability that:
a)Z is less than 1.25.
b)Z is greater than 1.75.
c)Z is between 1.25 and 1.75.
d)Z is between -1.25 and 1.75.
e)X is between 85 and 105, where X follows a normal with mean of
100 and SD of 10.Note: Write probabilities as decimals and to the
four decimal places (e.g., 0.2538).
Q2. What is the value of z such that:a)the probability of a
standard...

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