Auniversity is interested in promoting graduates of its honors program by establishing that the mean gpa of these graduates exceeds 3.50. a sample of 36 honors students is taken and is found to have a mean gpa equal to 3.60. the population standard deviation is assumed to equal 0.40. to establish whether the mean gpa exceeds 3.50, the appropriate hypotheses

H0:

H1:

Step-by-step explanation:

1) Data given and concepts involved

n=36 the sample size

sample mean obtained

The null hypothesis "Is what we attempt to find evidence against in our hypothesis test". And is denoted by H0

The alternative hypothesis "Is what we are attempting to demonstrate". and is denoted by H1.

In our case since we want to see if then that would be the alternative hypothesis, and the null hypothesis it's always the complement for the alternative hypothesis, so on this case

The distribution for is given by:

2) Test the hypothesis

In order to test the hypothesis we can use the following statistic:

Replacing the values given we have:

We know that and we can calculate a critical value, but we don't know the significance level for the hypothesis, so on this case we can't proceed.

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)

no oblique asymptote

step-by-step explanation:

to find the oblique asymptote of f(x)

here numerator has degree 1 and denomintor degree 2

degree of numerator < degree of denominator

hence there is no oblique asymptote

when the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly,   giving us a horizontal asymptote of the x-axis. or we can write

f(x) = a polynomial of x + a proper fraction.

in this case only we have oblique asymptotes but not when numerator has less degree.