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# ClairLinx Wireless

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ClairLinx Wireless, a start-up cell phone company, has divided its market of potential customers into three major groups: single, working; married, working; and retired. ClairLinx surveyed potential customers and asked each, "Of the following, which do you consider to be the most important feature in a cell phone service plan: free nights and weekends, free long distance and roaming, or free calls to customers with the same company?"

Each of the potential customers in the survey was categorized according to the service plan feature she considers most important and the customer group in which she appears. The data are summarized in the contingency table below. In the cells of the table are the respective observed frequencies, and three of the cells also have blanks. Fill in these blanks with the frequencies expected if the two variables, type of potential customer and choice of service plan feature, are independent.
Round your responses to at least two decimal places.
Choice of service plan feature

Free calls to other customers/ Free nights and weekends/ Free long distance/roaming/ Total

Type of potential I Single, 26 47 73 = 146
Customer: I working (blank) (blank)
I
I Married, 48 55 103 = 206
I working
I
I Retired 31 44 73 = 148
I (blank)
I
I Total = 105 146 249 500

##### Solution Summary

ClairLinx Wireless, a start-up cell phone company, has divided its market of potential customers into three major groups: single, working; married, working; and retired. ClairLinx surveyed potential customers and asked each, "Of the following, which do you consider to be the most important feature in a cell phone service plan: free nights and weekends, free long distance and roaming, or free calls to customers with the same company?"

Each of the potential customers in the survey was categorized according to the service plan feature she considers most important and the customer group in which she appears. The data are summarized in the contingency table below. In the cells of the table are the respective observed frequencies, and three of the cells also have blanks. Fill in these blanks with the frequencies expected if the two variables, type of potential customer and choice of service plan feature, are independent.
Round your responses to at least two decimal places.
Choice of service plan feature

Free calls to other customers/ Free nights and weekends/ Free long distance/roaming/ Total

Type of potential I Single, 26 47 73 = 146
Customer: I working (blank) (blank)
I
I Married, 48 55 103 = 206
I working
I
I Retired 31 44 73 = 148
I (blank)
I
I Total = 105 146 249 500

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###### Education
• BSc , Wuhan Univ. China
• MA, Shandong Univ.
###### Recent Feedback
• "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
• "excellent work"
• "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
• "Thank you"
• "Thank you very much for your valuable time and assistance!"

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