A random sample of 10 parking meters (out of 150 parking meters total) in a beach community showed the following incomes for a day. Assume the incomes are normally distributed. $3.60   $4.50   $2.80   $6.30   $2.60   $5.20   $6.75   $4.25   $8.00   $3.00       a) Find a 90% confidence interval for the MEAN income of all parking meters in the beach community.       b) Notice that most of the incomes above are NOT in the confidence interval. Explain why we don’t expect them to be in the interval by explaining what the confidence interval is estimating.

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 random sample of 10 parking meters (out of 150 parking meters total) in a beach community showed the following incomes for a day. Assume the incomes are normally distributed.

$3.60   $4.50   $2.80   $6.30   $2.60   $5.20   $6.75   $4.25   $8.00   $3.00

      a) Find a 90% confidence interval for the MEAN income of all parking meters in the beach community.
      b) Notice that most of the incomes above are NOT in the confidence interval. Explain why we don’t expect them to be in the interval by explaining what the confidence interval is estimating. 

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Step 1
3.6  
4.5  
2.8  
6.3  
2.6  
5.2  
6.75  
4.25  
8  
3  
4.7 Mean
1.834 Stdev

n = 10

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