Question

1. Suppose we randomly select 100 bills charged for this procedure. What is the sampling distribution of the mean cost for samples of size 100? By CLT, the sample means are Normal in shape.
   1. Determine the mean of the means and the standard deviation of the means. Give your answer as a list composed of the mean of the sample means,standard deviation of the sample means with commas in between and no extra spaces. For example, a valid answer might look like 25,7.
   2. Label a normal curve from three standard deviations below the mean of the means to three standard deviations from the mean. Enter as many decimals as needed to keep the labels as exact answers. Your list should have 7 values: score that is 3 std dev below the mean of means,score that is 2 std dev below the mean of means,score that is 1 std dev below the mean of means,mean,score that is 1 std dev above the mean of means,score that is 2 std dev of mean of means,score that is 3 std dev above mean of means. Separate the labels with commas and do not enter any extra spaces.
   3. Find the probability that the mean cost of a dental cleaning is more than $85. Round your answer to four decimal places.

Answer 1