A sample of 60 people tastes a cup of coffee and rates the flavor in a scale from 1 to 100, with 100 being the best. We want to test to see if this coffee seems to be different from existing brand, which has an expected flavor score of 48. We observe a sample average of 51.3. The previous study on the existing brand found that a standard deviation of 8.11, which we can treat as the population parameter value.

Define the null and alternative hypotheses.

H0 :u=48

Ha : u≠48

Step-by-step explanation:

Given:

n = 60

X' = 51.3

Standard deviation, s.d = 8.11

u = 48

In null hypothesis, the experimenter or researcher aims to reject the hypothesis, it is denoted as H0.

The alternative hypothesis contradicts the null hypothesis, it shows that an effect will be observed.It is denoted as Ha or H1.

The null and alternative hypothesis will be:

For null hypothesis:

H0 :u=48

For alternative hypothesis:

Ha : u≠48

6.5

step-by-step explanation:

you said it was in the question

~courtney

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: