According to Statistics Canada, the average hourly wages in the manufacturing sector are as follows: Alberta: $26.50, Ontario: $24.69, British Columbia: $26.47.Assume that in all three provinces, the standard deviation of hourly wages is $3. (Round the values of z to 2 decimal places, e.g. 1.25. Round your answers to 4 decimal places, e.g. 0.7578.) a. Suppose 40 workers are selected randomly from across Alberta and asked what their hourly wage is. What is the probability that the sample average will be between $25 and $26? b. Suppose 34 manufacturing workers are selected randomly from across Ontario. What is the probability that the sample average will exceed $27? c. Suppose 48 manufacturing workers are selected randomly from across British Columbia. What is the probability that the sample average will be less than $24.90? Appendix A Statistical Tables

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According to Statistics Canada, the average hourly wages in the manufacturing sector are as follows: Alberta: $26.50, Ontario: $24.69, British Columbia: $26.47. Assume that in all three provinces, the standard deviation of hourly wages is $3.

*(Round the values of z to 2 decimal places, e.g., 1.25. Round your answers to 4 decimal places, e.g., 0.7578.)*

**a.** Suppose 40 workers are selected randomly from across Alberta and asked what their hourly wage is. What is the probability that the sample average will be between $25 and $26?

[Text Box for Answer]

**b.** Suppose 34 manufacturing workers are selected randomly from across Ontario. What is the probability that the sample average will exceed $27?

[Text Box for Answer]

**c.** Suppose 48 manufacturing workers are selected randomly from across British Columbia. What is the probability that the sample average will be less than $24.90?

[Text Box for Answer]

[Link to Appendix A Statistical Tables]
Transcribed Image Text:According to Statistics Canada, the average hourly wages in the manufacturing sector are as follows: Alberta: $26.50, Ontario: $24.69, British Columbia: $26.47. Assume that in all three provinces, the standard deviation of hourly wages is $3. *(Round the values of z to 2 decimal places, e.g., 1.25. Round your answers to 4 decimal places, e.g., 0.7578.)* **a.** Suppose 40 workers are selected randomly from across Alberta and asked what their hourly wage is. What is the probability that the sample average will be between $25 and $26? [Text Box for Answer] **b.** Suppose 34 manufacturing workers are selected randomly from across Ontario. What is the probability that the sample average will exceed $27? [Text Box for Answer] **c.** Suppose 48 manufacturing workers are selected randomly from across British Columbia. What is the probability that the sample average will be less than $24.90? [Text Box for Answer] [Link to Appendix A Statistical Tables]
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