In a random sample of 7 residents of the state of Maine, the mean waste recycled per person per day was 1.4 pounds with a standard deviation of 0.23 pounds. Determine the 95% confidence interval for the mean waste recycled per person per day for the population of Maine. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

The Confidence desired is 0.95 or 95%, then the significance is and , and the critical value in the t distribution with 6 degrees of freedom would be

The 95% confidence interval for the true mean would be between (1.187;1.613)    

Step-by-step explanation:

Information given

represent the sample mean

population mean (variable of interest)

s=0.23 represent the sample standard deviation

n=7 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

  (1)

The degrees of freedom are given by

The Confidence desired is 0.95 or 95%, then the significance is and , and the critical value in the t distribution with 6 degrees of freedom would be

Now replacing we got:

The 95% confidence interval for the true mean would be between (1.187;1.613)    

step-by-step explanation:

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step-by-step explanation: