(a) Choose the correct statistical hypotheses. O A. Ho : HManr= 13.97 HA : HMlan> 13.97 O B. Ho : X Planin > 13.97 HA:XMoniB < 13.97 OC. Ho : HPlanB 2 13.97 HA : HPlantB < 13.97 O D. Ho : X PlantR = 13.97 H: X Pla > 13.97 O E. Ho : HPlantB > 13.97 HA : H Plant = 13.97 OF. Ho : HPlantB = 13.97 HA: H4 Plant B # 13.97 (b) Statistical testing of the null hypothesis is to be carried out by randomly selecting 44 employees at Plant B. If the mean/average hourly wage of these 44 employees is greater than $14.8, then there is enough statistical evidence to indicate that the mean hourly wage of employees at Plant B is greater than the mean hourly wage of employees at Plant A. What level of a was used here? Enter your answer to at least three decimal places. (c) The average of the sample of n= 44 workers was found to be X = 14.51. What decision can you make from this sample? .Employees at Plant B do not earn more on average compared to employees at Plant A. O B. The sample size is too small to conduct a statistical test, so a decision cannot be made OC. Employees at Plant B do earn more on average compared to employees at Plant A O D. The hourly wages at Plant B need to be Normally distributed to do the test

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Hourly wages at Manufacturing Plant A very from worker to worker, with an average hourly wage of $13.97, and a standard deviation of $2.3 per hour, or o plant A = 2.3. In an attempt to attract new employees, a newly constructed Manufacturing Plant B claims that its employees will be paid, on
average, more than than employees at Manufacturing Plant A. Assume that the standard deviation in hourly wages at Plant B is the same as at Plant A, or o plant B = 2.3.
(a) Choose the correct statistical hypotheses.
А. Но : ИРlant B —
13.97
На : Иplant B> 13.97
В. Но : Х Рlan в > 13.97 На: ХрlantB < 13.97
С. Но : Иplan В > 13.97
На : Иplant B < 13.97
D. Hо : Xр
Plant B =
:13.97
На: Х Plant в > 13.97
Е. Но : Ирlan в > 13.97
На: ИPlant B
: 13.97
O F. Ho : µ Plant B =
13.97
На : Иplant B + 13.97
(b) Statistical testing of the null hypothesis is to be carried out by randomly selecting 44 employees at Plant B. If the mean/average hourly wage of these 44 employees is greater than $14.8, then there is enough statistical evidence to indicate that the mean hourly wage of employees at Plant B is
greater than the mean hourly wage of employees at Plant A.
What level of a was used here? Enter your answer to at least three decimal places.
14.51. What decision can you make from this sample?
(c) The average of the sample of n = 44 workers was found to be X
A. Employees at Plant B do not earn more on average compared to employees at Plant A.
B. The sample size is too small to conduct a statistical test, so a decision cannot be made
C. Employees at Plant B do earn more on average compared to employees at Plant A
D. The hourly wages at Plant B need to be Normally distributed to do the test
(d) If the average hourly wage of all workers at Plant B is $14.57, what is the probability of concluding using the decision criteria outlined in part (b) that the mean hourly wage of all employees at Plant B is not greater than the mean hourly wage of all employees at Plant A? Enter your answer to at I
three decimals.
Answer =
Transcribed Image Text:Hourly wages at Manufacturing Plant A very from worker to worker, with an average hourly wage of $13.97, and a standard deviation of $2.3 per hour, or o plant A = 2.3. In an attempt to attract new employees, a newly constructed Manufacturing Plant B claims that its employees will be paid, on average, more than than employees at Manufacturing Plant A. Assume that the standard deviation in hourly wages at Plant B is the same as at Plant A, or o plant B = 2.3. (a) Choose the correct statistical hypotheses. А. Но : ИРlant B — 13.97 На : Иplant B> 13.97 В. Но : Х Рlan в > 13.97 На: ХрlantB < 13.97 С. Но : Иplan В > 13.97 На : Иplant B < 13.97 D. Hо : Xр Plant B = :13.97 На: Х Plant в > 13.97 Е. Но : Ирlan в > 13.97 На: ИPlant B : 13.97 O F. Ho : µ Plant B = 13.97 На : Иplant B + 13.97 (b) Statistical testing of the null hypothesis is to be carried out by randomly selecting 44 employees at Plant B. If the mean/average hourly wage of these 44 employees is greater than $14.8, then there is enough statistical evidence to indicate that the mean hourly wage of employees at Plant B is greater than the mean hourly wage of employees at Plant A. What level of a was used here? Enter your answer to at least three decimal places. 14.51. What decision can you make from this sample? (c) The average of the sample of n = 44 workers was found to be X A. Employees at Plant B do not earn more on average compared to employees at Plant A. B. The sample size is too small to conduct a statistical test, so a decision cannot be made C. Employees at Plant B do earn more on average compared to employees at Plant A D. The hourly wages at Plant B need to be Normally distributed to do the test (d) If the average hourly wage of all workers at Plant B is $14.57, what is the probability of concluding using the decision criteria outlined in part (b) that the mean hourly wage of all employees at Plant B is not greater than the mean hourly wage of all employees at Plant A? Enter your answer to at I three decimals. Answer =
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