Which answers are examples of the Law of Syllogism? Select each correct answer. If two numbers are even then their sum is even.
2 answers:
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Answer:
P = 0.0215 = 2.15%
Step-by-step explanation:
First we need to convert the values of 900 and 975 to standard scores using the equation:
Where z is the standard value, x is the original value, is the mean and
is the standard deviation. So we have that:
standard value of 900:
standard value of 975:
Now, we just need to look at the standard distribution table (z-table) for the values of z = 2 and z = 3:
z = 2 -> p_2 = 0.9772
z = 3 -> p_3 = 0.9987
We want the interval between 900 and 975 hours, so we need the interval between z = 2 and z = 3, so we just need to subtract their p-values:
P = p_3 - p_2 = 0.9987 - 0.9772 = 0.0215
So the probability is 0.0215 = 2.15%
Answer:
The confidence interval is (0.81, 0.87).
Step-by-step explanation:
There's 90% confidence that population proportion is within the interval obtained from the following formula:
Knowing that the sample size, we obtain the proportion of people from the sample who leave one space after a period as
.
We then look for the critical value:
Now we can replace in the formula to obtain the confidence interval:
Therefore we can say that there's 90% probability that the population proportion of people who leave one space after a period lies between the values (0.8137; 0.8663).