Answer:
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,




To spend a total of $135, Camille would have bought 27 tickets at $5 each.
Answer:
0.2 hours
Step-by-step explanation:
The depth, d of snow (in cm) that accumulates in Harper's yard during the first h hours of a snowstorm can be calculated using the equation:
d=5h
When d=1cm, we want to determine the value of h.
1=5h
h=1/5=0.2
Therefore, it takes 0.2 hours for 1 centimeter of snow to accumulate in Harper's yard.
Answer:
1 1/2 miles
Step-by-step explanation:
3 3/4 - 2 1/4..
3/4 - 1/4 = 2/4=1/2
3-2= 1
1+1/2=1 1/2 miles

She can cut 55 pieces from the cloth, and 10cm will be left over.
Hope this helps. - M