Charlie has the utility function u(xa, xb) =xaxb.his indifference curve passing through 32 applesand 8 bananas will also pass th

Response:

Option B is correct

Step-by-step breakdown:

(One-tailed test at a significance level of 5%)

n = 16 and x̄ = 1.97

s = 0.1

Standard error of the mean =

Difference in means =

t statistic = Difference in means/se = -1.2

degrees of freedom = 16 - 1 = 15

p-value = 0.124375

(B) do not reject the null hypothesis since the test statistic (-1.2) is > the critical value (-1.7531).

Answer:

a)

b)

c)

Step-by-step explanation:

The tangent vector is determined as follows:

Part a

The given function for this instance is:

The derivative is calculated as:

The magnitude of the derivative is determined by:

Thus, the tangent vector is found to be:

Finally, for t=4 we find:

Part b

In this case, we have the stated function:

The derivative can be expressed as:

The magnitude for the derivative is calculated as:

Thus, the tangent vector in this case is:

Finally, when t=4 we find:

Part c

Here, we have the corresponding function stated:

The derivative is stated as:

The magnitude for the derived value is calculated as:

Therefore, we conclude the tangent vector here:

And for the case when t=4, we get: