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Answer:
The experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.
Step-by-step explanation:
The complete question is:
Type the correct answer in each box. Use numerals instead of words. If necessary, use/ for the fraction bar(s).
A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these outcomes.
3, 4, 5, 2, 7, 1, 3, 7, 2, 6, 2, 1, 7, 3, 6, 1, 8, 3, 5, 6
The experimental probability of rolling an odd number is _%, which is _% more than the theoretical probability.
Solution:
The possible outcomes of rolling an 8-sided die are:
S = {1, 2, 3, 4, 5, 6, 7, 8}
The odd numbers are:
Odd = {1, 3, 5, 7} = 4 outcomes
The theoretical probability of rolling an odd number is:
Now from the given 20 outcomes the odd values are:
Odd = {3, 5, 7, 1, 3, 7, 1, 7, 3, 1, 3, 5} = 12 outcomes
Compute the experimental probability of rolling an odd number as follows:
Thus, the experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.
Answer: (0.465, 5.535)
Step-by-step explanation:
Formula to calculate the confidence interval (<em>when population standard deviation is unknown</em>) is given by :-
, where = sample mean.
s= sample standard deviation.
n= Sample size.
= critical value
By considering the given information , we have
s=0.75
n= 9
Significance level = [1-0.90=0.1]
By using students' t distribution -table , the critical value for 95% confidence level :
[Note: degree of freedom = n-1]
Now, the 90% confidence interval for the true mean weight of these Southern California avocados will be :
Hence, the required confidence interval =(0.465, 5.535)