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 PlantA = 2.3. In an attempt to attract new employees, a newly cons Manufacturing Plant B claims that its employees will be paid, on average, more than than employees t Manufacturing Plant A. Assume that the standard deviation hourly wages at Plant B is the same as at Plant A, or o a) Choose the correct statistical hypotheses. OA. Ho : HPlantB = 13.97 HA: H Plant R > 13.97 O B. Họ : X Plant B > 13.97 HA:X Plant B < 13.97 O C. Ho : HPlentB 2 13.97 HA: H Plant B < 13.97 O D. Ho : X PlantR = 13.97 HA:X Plant R > 13.97 ОЕ. Но : Ияав > 13.97 HA: H Plant = 13.97 O F. Ho : H Plant R = 13.97 HA : HPlant B + 13.97

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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 pPlant B
2.3.
(a) Choose the correct statistical hypotheses.
А. Но : Иplant B —
13.97
На : Иplant B > 13.97
О в. Но : ХА
> 13.97
На: Хр
Plant B < 13.97
Plant B
A
С. Но : Ирlantв 2 13.97 НА: Иplant B < 13.97
O D. Но : Хр
= 13.97
На : ХРlant B > 13.97
Plant B
Е. Но : Ирlan В > 13.97
На : Иplant B %3
13.97
ОЕ Но : ИPlant B — 13.97
HA: H 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.
2.3937
(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?
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 least 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 pPlant B 2.3. (a) Choose the correct statistical hypotheses. А. Но : Иplant B — 13.97 На : Иplant B > 13.97 О в. Но : ХА > 13.97 На: Хр Plant B < 13.97 Plant B A С. Но : Ирlantв 2 13.97 НА: Иplant B < 13.97 O D. Но : Хр = 13.97 На : ХРlant B > 13.97 Plant B Е. Но : Ирlan В > 13.97 На : Иplant B %3 13.97 ОЕ Но : ИPlant B — 13.97 HA: H 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. 2.3937 (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? 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 least three decimals. Answer =
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