At least two of the means differ from each other.

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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Is the type of area that a person lives in a factor in the age that a person experiences their first passionate kiss? The table below shows data that was collected.

Rural Suburbs City
15 15 12
15 17 12
15 13 14
11 14 15
18 18 13
16 15 11
13 19 12
17 14  
15    

Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.05α=0.05.

H0: μ1=μ2=μ3H0: μ1=μ2=μ3
H1:H1: At least two of the means differ from each other.

  1. For this study, we should use             
  2. The test-statistic for this data =  (Please show your answer to 3 decimal places.)
  3. The p-value for this sample =  (Please show your answer to 4 decimal places.)
  4. The p-value is     αα 
  5. Base on this, we should      hypothesis
  6. As such, the final conclusion is that...
    • There is sufficient evidence to support the claim that type of area a person lives in is a factor in the age of first passionate kiss.
    • There is insufficient evidence to support the claim that type of area a person lives in is a factor in the age of first passionate kiss.
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