Anew catalyst is being investigated for use in the production of a plastic chemical. ten batches of the chemical are produced. the mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. assume the yields are independent and approximately normally distributed. find a 99% confidence interval for the mean yield when the new catalyst is used.

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

To find : A 99% confidence interval for the mean yield when the new catalyst is used ?

Solution :

Let X be the yield of the batches.

We have given, n=10 , , s=5.8%

Since the size of the sample is small.

We will use the student's t statistic to construct a 995 confidence interval.

From the t-table with 9 degree of freedom for

The 99% confidence interval is given by,

answer: no, but if it does it's a obvious pattern.

step-by-step explanation:

answer: x=3 and y=4

step-by-step explanation: