PLEASE ANSWER PARTS D AND E ONLY.Thank you. An ecologist is studying the impact of local polluted waters on the growth of alligators. The length of adultmale alligators typically follows a normal distribution with a standard deviation of 2 feet. The ecologist wantsto estimate the mean length of this population of alligators. Suppose she samples n alligators at random anduses the sample mean, X to as an estimator for u.a. What is the bias and variance of the estimator? (Note, these may be a function of n.)b. If n = 4, what is the probability that the estimator is within one foot of the true mean? (I.e. findP(|X – µ| < 1).c. What sample size, n, is required for the estimator to be within one foot of the true mean with 95%probability? (I.e. find the value of n that satisfies P(|X – µ| < 1) = 0.95.)d. Suppose the ecologist ends up sampling n = 9 alligators and calculates a sample mean of ī = 10.4 feet.Construct a 95% confidence interval for the population mean.e. Give an interpretation for the interval obtained in (d).

Name: PLEASE ANSWER PARTS D AND E ONLY.Thank you. An ecologist is studying t
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Description: PLEASE ANSWER PARTS D AND E ONLY.Thank you. An ecologist is studying the impact of local polluted waters on the growth of alligators. The length of adultmale alligators typically follows a normal distribution with a standard deviation of 2 feet. The

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d. Suppose the ecologist ends up sampling n = 9 alligators and calculates a sample mean of = Construct a 95% confidence interval for the population mean. e. Give an interpretation for the interval obtained in (d). 10.4 feet.

d. Suppose the ecologist ends up sampling n = 9 alligators and calculates a sample mean of = Construct a 95% confidence interval for the population mean. e. Give an interpretation for the interval obtained in (d). 10.4 feet.

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PLEASE ANSWER PARTS D AND E ONLY.

Thank you.

An ecologist is studying the impact of local polluted waters on the growth of alligators. The length of adult
male alligators typically follows a normal distribution with a standard deviation of 2 feet. The ecologist wants
to estimate the mean length of this population of alligators. Suppose she samples n alligators at random and
uses the sample mean, X to as an estimator for u.
a. What is the bias and variance of the estimator? (Note, these may be a function of n.)
b. If n = 4, what is the probability that the estimator is within one foot of the true mean? (I.e. find
P(|X – µ| < 1).
c. What sample size, n, is required for the estimator to be within one foot of the true mean with 95%
probability? (I.e. find the value of n that satisfies P(|X – µ| < 1) = 0.95.)
d. Suppose the ecologist ends up sampling n = 9 alligators and calculates a sample mean of ī = 10.4 feet.
Construct a 95% confidence interval for the population mean.
e. Give an interpretation for the interval obtained in (d).

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