Question

In: Statistics and Probability

Warren County Telephone Company claims in its annual report that “the typical customer spends $61 per...

Warren County Telephone Company claims in its annual report that “the typical customer spends $61 per month on local and long-distance service.” A sample of 12 subscribers revealed the following amounts spent last month. $63 $67 $65 $68 $60 $65 $68 $62 $64 $63 $54 $67

a. What is the point estimate of the population mean? (Round your answer to 3 decimal places.)

Estimated population mean $:

b. Develop a 98% confidence interval for the population mean. (Use t Distribution Table.) (Round your answers to 3 decimal places.)

Confidence interval for the population mean $ and $

c. Is the company's claim that the "typical customer" spends $61 per month reasonable?

Yes No

Solutions

Expert Solution

From the given sample data: n=12 , ,

The sample mean is ,

The sample standard deviation is ,

The critical value is ,

; From t-table

a) The point estimate of the population mean is =63.833

b) The 98% confidence interval for the population mean is ,

c) We have , Hypothesis: Vs

Here , the value $61 lies in the given 98% confidence interval

Therefore , failto reject Ho.

Conclusion : Yes,  there is sufficient evidence to support the claim that the  "typical customer" spends $61 per month reasonable.


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