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,
As in each table can seat 8 people and the probability you need to find is about the first person you can ignore this data.
Probability that the first person to enter the room will be randomly seated at a maple table:
#maple tables: 9
# total tables: 9 +10 +5 +7=31
Then, the probability that the first person to enter the room will be randomly seated at a maple table is 9/31
Is/of =%/100 so x/59.99=14%/100 Cross multiply to get the answe
Answer:
415.47
Step-by-step explanation:
Answer:
Gender is a categorical variable. The sum gives the total number of students in class.
Step-by-step explanation:
We are given the following in the question:
The variable Male, is categorical, even though its values are numbers.
Categorical variable:
- These variable are the non parametric variable.
- They do not need values to express the data.
- They only use number and numerical to express the data or represent the data.
- There is no relation with true value of numerical.
Thus, gender is a categorical variable. Numbers are only used to represent the data.
Numbers are just a representation.
The sum of these represent the total male and female students in class. Thus, the sum gives the total number of students in class.
