The health of employees is monitored by periodically weighing them in. A sample of 54 employees has a mean weight of 185.6   lb. with a standard deviation of 125.6   lb. Use a 0.10 significance level to test the claim that the mean weight of all such employees is less than 200 lb. a. Define the parameter     A. mu   ​= The mean weight of all such employees   B. p​ = The proportion of all such employees who weigh less than 200 lb.   C. mu   ​= The mean weight lost by all such employees   D. mu   ​= The mean weight of the 54 employees   b. State the null and alternative hypotheses     A. Upper H 0 : mu equals 200 Upper H 1 : mu not equals 200     B. Upper H 0 : mu equals 185.6    Upper H 1 : mu less than 185.6     C. Upper H 0 : mu equals 200 Upper H 1 : mu greater than 200     D. Upper H 0 : mu equals 200 Upper H 1 : mu less than 200     c. Calculate the​ P-value. Which of these options is closest to its​ value?     A. 0.2016     B. 0.1822     C. 0.1486     D. 0.2195     d. State the technical conclusion     A. Reject Upper H 0     B. Do not reject Upper H 0     e. State the final conclusion     A. There is not sufficient evidence to warrant rejection of the claim.   B. There is sufficient evidence to warrant rejection of the claim.   C. There is not sufficient sample evidence to support the claim.   D. The sample data support the claim.

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The health of employees is monitored by periodically weighing them in. A sample of 54 employees has a mean weight of

185.6
 

lb. with a standard deviation of

125.6
 
lb. Use a 0.10 significance level to test the claim that the mean weight of all such employees is less than 200 lb.
a. Define the parameter
 
 
A.
mu
 
​= The mean weight of all such employees
 
B.
p​ = The proportion of all such employees who weigh less than 200 lb.
 
C.
mu
 
​= The mean weight lost by all such employees
 
D.
mu
 
​= The mean weight of the 54 employees
 
b. State the null and alternative hypotheses
 
 
A.
Upper H 0 : mu equals 200 Upper H 1 : mu not equals 200
 
 
B.
Upper H 0 : mu equals

185.6

  
Upper H 1 : mu less than

185.6

 
 
C.
Upper H 0 : mu equals 200 Upper H 1 : mu greater than 200
 
 
D.
Upper H 0 : mu equals 200 Upper H 1 : mu less than 200
 
 
c. Calculate the​ P-value. Which of these options is closest to its​ value?
 
 
A.
0.2016
 
 
B.
0.1822
 
 
C.
0.1486
 
 
D.
0.2195
 
 
d. State the technical conclusion
 
 
A.
Reject Upper H 0
 
 
B.
Do not reject Upper H 0
 
 
e. State the final conclusion
 
 
A.
There is not sufficient evidence to warrant rejection of the claim.
 
B.
There is sufficient evidence to warrant rejection of the claim.
 
C.
There is not sufficient sample evidence to support the claim.
 
D.
The sample data support the claim.
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