Hannibal wants to estimate the true average brain mass, u, but he is locked in a cell with no internet and only has a scale. He collects a small random sample of size n = 5 from nearby prison guards. He find that these brains have the following weights:
1320g, 1400g, 1300g, 1460g, 1350g

Suppose that human brains follow a normal distribution, and that Hannibal's sample is representative of the entire population.

a. (1 pt) Compute the sample standard deviation, s, of these brains. Do not use a computer for part (a). You may only use +, -, X, -, and ✓ on a calculator. Show all your work.
b. (1 pt) Construct a two-sided 95% confidence interval for the true mean weight of brains, u. You may use a computer/calculator to calculate critical values, but not to solve the entire problem.
c. (1 pt) Construct a two-sided 82% confidence interval for the true mean weight of brains, u.
d. (1 pt) Construct a one-sided 95% confidence interval for the true mean weight of brains, u. Give the lower bound. Your interval will look like this: (Lower Bound, 00)

a) s=64.65

b)

c)

d)

Step-by-step explanation:

a) To calculate the sample standard deviation, first we have to calculate the sample mean.

Now, the standard deviation is:

b) The z-value for a 95% confidence interval is z=1.96.

The margin of error is

The lower and upper limit of the CI are:

The confidence interval is:

c) In this case, the z-value for a 82% CI is z=1.34.

The margin of error is

The lower and upper limit of the CI are:

The confidence interval is:

c) Now we have to construct a one sided 95% confidence interval, with only one bound (lower bound).

The z-value is z=1.645

The margin of error is

The lower limit of the CI is:

The confidence interval is:

3030 ur welcome

step-by-step explanation:

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%