A randomized trial tested the effectiveness of diets on adults. Among 36 subjects using Diet 1, the mean weight loss after a year was 3.5 pounds with a standard deviation of 5.9 pounds. Among 36 subjects using Diet 2, the mean weight loss after a year was 0.6 pounds with a standard deviation of 4.4 pounds. Construct a 95% confidence interval estimate of the difference between the population means, assuming the population standard deviations are equal.

The 95%  confidence interval is

Step-by-step explanation:

From the question we are told that

   The first sample size is  

   The first  sample mean is  

   The first standard deviation is  

   The second  sample size is

    The second  sample mean is  

    The second  standard deviation is

Generally the degree of freedom is mathematically represented as

=>  

=>  

Generally the standard error is mathematically represented as

=>  

=>  

From the question we are told the confidence level is  95% , hence the level of significance is    

=>  

Generally from the t distribution table the critical value  of   at a degree of freedom of is  

Generally the margin of error is mathematically represented as

=>    

=>    

Generally 95% confidence interval is mathematically represented as  

 =>

=>  

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step-by-step explanation:

step-by-step explanation: