Carpetland salespersons average $9,000 per week in sales. Steve Contois, the firm's vice president, proposes a compensation plan with new selling incentives. Steve hopes that the results of a trial selling per enable him to conclude that the compensation plan increases the average sales per salesperson. (a) Develop the appropriate null and alternative hypotheses. O Ho: H = 9,000 H:H# 9,000 O Ho: H > 9,000 Ha:HS 9,000 O Ho: H< 9,000 H:42 9,000 ο 6 μ 9,000 H:H< 9,000 O Ho: HS 9,000 HgiH> 9,000 (b) What is the type I error in this situation? What are the consequences of making this error? O It would be concluding u s 9,000 when the plan does increase sales. This mistake could result in not implementing a plan that would increase sales. O It would be concluding u < 9,000 when the plan does increase sales. This mistake could result in not implementing a plan that would increase sales. O It would be concluding u 2 9,000 when the plan does not increase sales. This mistake could result in implementing the plan when it would not help. O It would be concluding u > 9,000 when the plan does not increase sales. This mistake could result in implementing the plan when it would not help. (c) What is the type II error in this situation? What are the consequences of making this error? O It would be concluding u s 9,000 when the plan does increase sales. This mistake could result in not implementing a plan that would increase sales. O It would be concluding u < 9,000 when the plan does increase sales. This mistake could result in not implementing a plan that would increase sales. O It would be concluding u 2 9,000 when the plan does not increase sales. This mistake could result in implementing the plan when it would not help.

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Carpetland salespersons average $9,000 per week in sales. Steve Contois, the firm's vice president, proposes a compensation plan with new selling incentives. Steve hopes that the results of a trial selling period will
enable him to conclude that the compensation plan increases the average sales per salesperson.
(a) Develop the appropriate null and alternative hypotheses.
Ho: H = 9,000
Hai H # 9,000
Ο H0: μ> 9,000
Ha: uS 9,000
Ho: H < 9,000
H3: µ 2 9,000
Ho: H 2 9,000
H: µ < 9,000
Ho: us 9,000
Ha: u > 9,000
(b) What is the type I error in this situation? What are the consequences of making this error?
O It would be concluding u
9,000 when the plan does increase sales. This mistake could result in not implementing a plan that would increase sales.
O It would be concluding u < 9,000 when the plan does increase sales. This mistake could result in not implementing a plan that would increase sales.
O It would be concluding u 2 9,000 when the plan does not increase sales. This mistake could result in implementing the plan when it would not help.
O It would be concluding u > 9,000 when the plan does not increase sales. This mistake could result in implementing the plan when it would not help.
(c) What is the type II error in this situation? What are the consequences of making this error?
O It would be concluding u < 9,000 when the plan does increase sales. This mistake could result in not implementing a plan that would increase sales.
It would be concluding u < 9,000 when the plan does increase sales. This mistake could result in not implementing a plan that would increase sales.
O It would be concluding u 2 9,000 when the plan does not increase sales. This mistake could result in implementing the plan when it would not help.
O It would be concluding u > 9,000 when the plan does not increase sales. This mistake could result in implementing the plan when it would not help.
Transcribed Image Text:Carpetland salespersons average $9,000 per week in sales. Steve Contois, the firm's vice president, proposes a compensation plan with new selling incentives. Steve hopes that the results of a trial selling period will enable him to conclude that the compensation plan increases the average sales per salesperson. (a) Develop the appropriate null and alternative hypotheses. Ho: H = 9,000 Hai H # 9,000 Ο H0: μ> 9,000 Ha: uS 9,000 Ho: H < 9,000 H3: µ 2 9,000 Ho: H 2 9,000 H: µ < 9,000 Ho: us 9,000 Ha: u > 9,000 (b) What is the type I error in this situation? What are the consequences of making this error? O It would be concluding u 9,000 when the plan does increase sales. This mistake could result in not implementing a plan that would increase sales. O It would be concluding u < 9,000 when the plan does increase sales. This mistake could result in not implementing a plan that would increase sales. O It would be concluding u 2 9,000 when the plan does not increase sales. This mistake could result in implementing the plan when it would not help. O It would be concluding u > 9,000 when the plan does not increase sales. This mistake could result in implementing the plan when it would not help. (c) What is the type II error in this situation? What are the consequences of making this error? O It would be concluding u < 9,000 when the plan does increase sales. This mistake could result in not implementing a plan that would increase sales. It would be concluding u < 9,000 when the plan does increase sales. This mistake could result in not implementing a plan that would increase sales. O It would be concluding u 2 9,000 when the plan does not increase sales. This mistake could result in implementing the plan when it would not help. O It would be concluding u > 9,000 when the plan does not increase sales. This mistake could result in implementing the plan when it would not help.
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