question archive Confidence Interval for Difference between Two Population Means A customer satisfaction survey was given to 2 groups of randomly selected participants

Confidence Interval for Difference between Two Population Means A customer satisfaction survey was given to 2 groups of randomly selected participants

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Confidence Interval for Difference between Two Population Means A customer satisfaction survey was given to 2 groups of randomly selected participants. Each group had 122 people. They were asked to rate either Captain Crisp or Lady Nature cereal on a scale of 1 - 10 where 1 is "unsatisfied" and 10 is "excellent." The sample average score for Captain Crisp was 5.8 with a standard deviation of 1.4. The sample average score for Lady Nature was 5.8 with a standard deviation of 1.6.

Assume that the population standard deviations of Captain Crisp and Lady Nature customer satisfaction scores are the same.

 

Construct a 90% (two-sided) confidence interval for the true difference in the population means of Captain Crisp and Lady Nature customer satisfaction scores (Captain Crisp - Lady Nature).

 

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