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A small hair salon in Denver, Colorado, averages about 70 customers on weekdays with a standard deviation of 7. It is safe to assume that the underlying distribution is normal. In an attempt to increase the number of weekday customers, the manager offers a $2 discount on 6 consecutive weekdays. She reports that her strategy has worked since the sample mean of customers during this 6 weekday period jumps to 76. [You may find it useful to reference the z table.] a. What is the probability to get a sample average of 76 or more customers if the manager had not offered the discount? (Round final answer to 4 decimal places.) Probability 0.0179 b. Do you feel confident that the manager's discount strategy has worked? O No, there is good chance (more than 5%) of getting 76 or more customers without the discount. O No, there is only a small chance (less than 5%) of getting 76 or more customers without the discount. O Yes, there is good chance (more than 5%) of getting 76 or more customers without the discount. O Yes, there is only a small chance (less than 5%) of getting 76 or more customers without the discount.

A small hair salon in Denver, Colorado, averages about 70 customers on weekdays with a standard deviation of 7. It is safe to assume that the underlying distribution is normal. In an attempt to increase the number of weekday customers, the manager offers a $2 discount on 6 consecutive weekdays. She reports that her strategy has worked since the sample mean of customers during this 6 weekday period jumps to 76. [You may find it useful to reference the z table.] a. What is the probability to get a sample average of 76 or more customers if the manager had not offered the discount? (Round final answer to 4 decimal places.) Probability 0.0179 b. Do you feel confident that the manager's discount strategy has worked? O No, there is good chance (more than 5%) of getting 76 or more customers without the discount. O No, there is only a small chance (less than 5%) of getting 76 or more customers without the discount. O Yes, there is good chance (more than 5%) of getting 76 or more customers without the discount. O Yes, there is only a small chance (less than 5%) of getting 76 or more customers without the discount.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A small hair salon in Denver, Colorado, averages about 70 customers on weekdays with a standard deviation of 7. It is safe to assume that the underlying distribution is normal. In an attempt to increase the number of weekday customers, the manager offers a $2 discount on 6 consecutive weekdays. She reports that her strategy has worked since the sample mean of customers during this 6 weekday period jumps to 76. [You may find it useful to reference the z table.] a. What is the probability to get a sample average of 76 or more customers if the manager had not offered the discount? (Round final answer to 4 decimal places.) Probability 0.0179 b. Do you feel confident that the manager's discount strategy has worked? O No, there is good chance (more than 5%) of getting 76 or more customers without the discount. O No, there is only a small chance (less than 5%) of getting 76 or more customers without the discount. O Yes, there is good chance (more than 5%) of getting 76 or more customers without the discount. O Yes, there is only a small chance (less than 5%) of getting 76 or more customers without the discount.
Transcribed Image Text:A small hair salon in Denver, Colorado, averages about 70 customers on weekdays with a standard deviation of 7. It is safe to assume that the underlying distribution is normal. In an attempt to increase the number of weekday customers, the manager offers a $2 discount on 6 consecutive weekdays. She reports that her strategy has worked since the sample mean of customers during this 6 weekday period jumps to 76. [You may find it useful to reference the z table.] a. What is the probability to get a sample average of 76 or more customers if the manager had not offered the discount? (Round final answer to 4 decimal places.) Probability 0.0179 b. Do you feel confident that the manager's discount strategy has worked? O No, there is good chance (more than 5%) of getting 76 or more customers without the discount. O No, there is only a small chance (less than 5%) of getting 76 or more customers without the discount. O Yes, there is good chance (more than 5%) of getting 76 or more customers without the discount. O Yes, there is only a small chance (less than 5%) of getting 76 or more customers without the discount.
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