Dr. Chung, a renowned nutritionist, has consistently proclaimed the benefits of a balanced breakfast. To substantiate her claim, she asks her participants to go without breakfast for one week. The following week he asks the same participants to make sure they eat a complete breakfast. Following each week, Dr. Chung asks the supervisors of each participant to rate their productivity for that week.

Explanation:

Dr. Chung, a renowned nutritionist, has consistently proclaimed the benefits of a balanced breakfast. To substantiate her claim, she asks her participants to go without breakfast for one week. The following week he asks the same participants to make sure they eat a complete breakfast. Following each week, Dr. Chung asks the supervisors of each participant to rate their productivity for that week.

Participant          Performance with Breakfast(X)       Performance Without Breakfast

(Y)

#1                                 8                                                                  6

#2                                 6                                                                  6

#3                                8                                                                  5

#4                                  8                                                                  5

Using α = .05, do a one-tailed test of the doctor's hypothesis.

What is your T=

Performance with breakfast

mean, X = (8+6+8+8)/4 = 7.5

using the formular,

standard deviation, S =√[ [(8-7.5)² + (6-7.5)² + (8-7.5)² + (8-7.5)²]/(4-1)]

S = 1

Number of sample, N = 4

Performance without breakfast

mean, x = (6+5+6+5)/4 = 5.5

Using the formula as above, standard deviation  

s =√[ [(6-5.5)² + (6-5.5)² + (5-5.5)² + (5-5.5)²]/4-1]

s = 0.58

n = 4

T is given as follows

T = [(X - x)/[(S²/N) + (s²/n)]]

T = [(7.5 - 5.5)/[(1²/4) + (0.58²/4)]]

 T = 3.46

i am confused, what is the question? i can you out if you put it into more depth.

even though you have attached neither the chart nor the generalizations, i have located them online. the right answer is d, since they are asking you about a generalization. you can only infer from the chart that between 2008 and 2009 the number of employed workers decreased significantly (from over 115 millions to 107 millions approximately), which signals some type of economic crisis.