Question

In the year 2030, Yaisha Palmeros is a leading nurse practitioner. Yaisha is presently researching obesity in patients with hypertension. Previous research has indicated that patients with hypertension are overweight by a mean of 35 pounds (assume σ = 8.6). Yaisha is researching a new program that has the goal of reducing the mean amount by which hypertensive patients are overweight. Yaisha takes a random sample of 40 hypertensive patients to participate in the program over the next several months and finds the sample mean by which these patients are overweight is 31.7 pounds. Using α = 0.01, answer the following questions.
a) What is the setup for your null and alternative hypothesis?

b) What is the value of the test statistic, Z*?

c) Using the appropriate level of confidence, what is the confidence interval?

d) What is the interpretation (not your conclusions) of the confidence interval (in the context of the problem) you obtained in part c?

e) What is the p value?

f) What is the interpretation (not your conclusions) of the p value in the context of the problem you found in part e?

 
g) What are your conclusions in the context of the problem? Relate your conclusions to the test statistic and critical value, confidence interval and p value.

Bonus question (1 point)
When Marty was telling his 12-year nephew, Parker, about Einstein’s theory of relativity (time slows down when you travel really fast), Parker said:
a)   Does that include vectors in non-Euclidean space?
b)   Do those rules apply to Black holes?
c)   You’re weird Marty.
d)   I am so lucky to have an uncle that is willing to take the time to give me a good education.
e)   Doesn’t that violate the rules of Newtonian mechanics?

In the year 2030, Yaisha Palmeros is a leading nurse practitioner. Yaisha is presently researching obesity in patients with hypertension. Previous research has indicated that patients with hypertension are overweight by a mean of 35 pounds (assume σ = 8.6). Yaisha is researching a new program that has the goal of reducing the mean amount by which hypertensive patients are overweight. Yaisha takes a random sample of 40 hypertensive patients to participate in the program over the next several months and finds the sample mean by which these patients are overweight is 31.7 pounds. Using α = 0.01, answer the following questions.

a) What is the setup for your null and alternative hypothesis?

b) What is the value of the test statistic, Z*?

c) Using the appropriate level of confidence, what is the confidence interval?

d) What is the interpretation (not your conclusions) of the confidence interval (in the context of the problem) you obtained in part c?

e) What is the p value?

f) What is the interpretation (not your conclusions) of the p value in the context of the problem you found in part e?

g) What are your conclusions in the context of the problem? Relate your conclusions to the test statistic and critical value, confidence interval and p value.

Bonus question (1 point)

When Marty was telling his 12-year nephew, Parker, about Einstein’s theory of relativity (time slows down when you travel really fast), Parker said:

1. Does that include vectors in non-Euclidean space?
2. Do those rules apply to Black holes?
3. You’re weird Marty.
4. I am so lucky to have an uncle that is willing to take the time to give me a good education.
5. Doesn’t that violate the rules of Newtonian mechanics?

Answer 1

1)

Ho :   µ =   35                  
Ha :   µ <   35       (Left tail test)          
                          
3)

Level of Significance ,    α =    0.01     

Confidence evel = 99%

4)

We are performing th experiment to be 99% sure about the result.

population std dev ,    σ =    8.6000                  
Sample Size ,   n =    40                  
Sample Mean,    x̅ =   31.7000                  
                          
'   '   '                  
                          
Standard Error , SE = σ/√n =   8.6000   / √    40   =   1.3598      
2)

Z-test statistic= (x̅ - µ )/SE = (   31.700   -   35   ) /    1.3598   =   -2.43
                          
critical z value, z* =       -2.3263   [Excel formula =NORMSINV(α/no. of tails) ]              
                          
5)

p-Value   =   0.0076   [ Excel formula =NORMSDIST(z) ]          

6

Decision:   p-value<α, Reject null hypothesis   

7)

Conclusion: There is enough evidence that mean amount by which hypertensive patients are overweight have been decreaswed.

THANKS

revert back for doubt

please upvote