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)    

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation: