Question

An opportunity to move to the peaceful city of Sturgis in South Dakota has presented itself. You are intrigued by the slow-paced life and the opportunity to work from home as a customer service representative for a small mountainside hotel. Of course, you need to consider many things including your possible new salary, so armed with your knowledge of statistics, you do some research. The average salary of a customer service representative for small hotels in Sturgis, SD is $37,764. Assuming a normal distribution with a standard deviation of $5,100. A. For a sample of 75 customer service representatives of small hotels in Sturgis, SD, what is the probability that the sample mean is greater than $38,000? Show your clear work below. So, the probability that the sample mean for 75 customer service representatives is greater than $38,000 is ____________ B. If you establish that you need to make at least $100 more than the average, is this probability good enough for you? What would be the minimum probability that you’d accept?

Name: an opportunity to move to the peaceful city of sturgis in south dakota has presented itself you are intrigued by the slow paced life and the opportunity to work from home as a customer servi 58878
Uploaded: 2023-05-22T02:06:59-08:00
Duration: 4 min 42 s
Channel: Kari Hasz
Description: an opportunity to move to the peaceful city of sturgis in south dakota has presented itself you are intrigued by the slow paced life and the opportunity to work from home as a customer servi 58878

          An opportunity to move to the peaceful city of Sturgis in South Dakota has presented itself. You are intrigued by the slow-paced life and the opportunity to work from home as a customer service representative for a small mountainside hotel.  
Of course, you need to consider many things including your possible new salary, so armed with your knowledge of statistics, you do some research. 
The average salary of a customer service representative for small hotels in Sturgis, SD is $37,764. Assuming a normal distribution with a standard deviation of $5,100. 
A. For a sample of 75 customer service representatives of small hotels in Sturgis, SD, what is the probability that the sample mean is greater than $38,000? Show your clear work below.
So, the probability that the sample mean for 75 customer service representatives is greater than $38,000 is ____________ 
B. If you establish that you need to make at least $100 more than the average, is this probability good enough for you? What would be the minimum probability that you’d accept?

Added by Sofia O.

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