A small hair salon in Denver, Colorado, averages about 25 customers on weekdays with a standard deviation of 8. 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 $5 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 31. [You may find it useful to reference the z table.) a. What is the probability to get a sample average of 31 or more customers if the manager had not offered the discount? (Round "z" value to 2 decimal places, and final answer to 4 decimal places.) Probability b. Do you feel confident that the manager's discount strategy has worked? O No, there is good chance (more than 5%) of getting 31 or more customers without the discount. O No, there is only a small chance (less than 5%) of getting 31 or more customers without the discount. O Yes, there is good chance (more than 5%) of getting 31 or more customers without the discount. O Yes, there is only a small chance (less than 5%) of getting 31 or more customers without the discount.

A small hair salon in Denver, Colorado, averages about 25 customers on weekdays with a standard deviation of 8. 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 $5 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 31. [You may find it useful to reference the z table.) a. What is the probability to get a sample average of 31 or more customers if the manager had not offered the discount? (Round "z" value to 2 decimal places, and final answer to 4 decimal places.) Probability b. Do you feel confident that the manager's discount strategy has worked? O No, there is good chance (more than 5%) of getting 31 or more customers without the discount. O No, there is only a small chance (less than 5%) of getting 31 or more customers without the discount. O Yes, there is good chance (more than 5%) of getting 31 or more customers without the discount. O Yes, there is only a small chance (less than 5%) of getting 31 or more customers without the discount.

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Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.

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Question

A small hair salon in Denver, Colorado, averages about 25 customers on weekdays with a standard deviation of 8. 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 $5
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 31. [You may find it useful to reference the z table.]
a. What is the probability to get a sample average of 31 or more customers if the manager had not offered the discount? (Round "z"
value to 2 decimal places, and final answer to 4 decimal places.)
Probability
b. Do you feel confident that the manager's discount strategy has worked?
O No, there is good chance (more than 5%) of getting 31 or more customers without the discount.
O No, there is only a small chance (less than 5%) of getting 31 or more customers without the discount.
O Yes, there is good chance (more than 5%) of getting 31 or more customers without the discount.
O Yes, there is only a small chance (less than 5%) of getting 31 or more customers without the discount.
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