Write a comparison statement for the depth of the hermit crab and the redfish.

This is a special type of data set in that it uses the same subjects to record the number of burps for both the root beer and cola, meaning the data is paired. I would perform a paired t-test to see if there is a difference between the mean number of burps for both types of cola. Your instructions only asked to test for a difference in the number of burps, so the direction of the alternative hypothesis is unknown, making it a two-tailed test. However, the problem stated that "As an avid soda drinker and statistics student, you notice you tend to burp more after drinking root beer than you do after drinking cola," and you could use this assumption to test that the mean number of burps while drinking root beer is more than that for cola, giving you a more precise answer versus doing a two-tailed test. Of course, you must designate which sample represents the first mean and which one represents the second mean. See below as an example:

µ1 = mean number of burps while drinking root beer.

µ2 = mean number of burps while drinking cola.

µD = mean of the differences in burping for root beer and cola.

µD = µ1 - µ2

Null hypothesis: there is no difference between the mean number of burps for root beer and cola.

H0: µD = 0

Alternative hypothesis: the mean number of burps while drinking root beer is more than than the mean number of burps while drinking cola.

HA: µD > 0 .

You can use any statistical software to help compute your test, but I recommend Statdisk, because it is free, requires no downloads, and very user-friendly. All you have to do is input your data in columns.

Step-by-step explanation:

6 0

2 years ago

The graph of a line on a coordinate plane has a slope of 1/2 and passes through the point (4, -3). Which equation describes the

makkiz [27]

Answer:

$\boxed {\boxed {\sf y= \frac{1}{2}x-5 }}$

Step-by-step explanation:

Since we are given a point and a slope, we should use the point-slope equation.

$y-y_1=m(x-x_1)$

where <em>m</em> is the slope and (x₁, y₁) is the point the line passes through.

We are given the slope of 1/2 and the point (4, -3). Therefore:

$m= \frac{1}{2} \\x_1= 4\\y_1= -3$

Substitute the values into the formula.

$y--3= \frac{1}{2} (x-4)$

$y+ 3= \frac{1}{2} (x-4)$

Distribute the 1/2. Multiply each term inside the parentheses by 1/2.

$y+3= \frac{1}{2} *x + \frac{1}{2} * -4$

$y+3=\frac{1}{2}x-2$

We want to the equation of the line in slope-intercept form or y=mx+b. We need to isolate y. 3 is being added and the inverse of addition is subtraction. Subtract 3 from both sides of the equation.

$y+3-3=\frac{1}{2}x-2-3$

$y=\frac{1}{2}x-2-3\\y= \frac{1}{2}x-5$

The equation of the line is <u>y=1/2x-5</u>

6 0

3 years ago