At the movie theatre, child admission is $5.20 and adult admission is $8.60 . On Thursday, twice as many adult tickets as child
1 answer:
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Answer:
a) 0.1984
b) No. Is not too small to support the conjecture with confidence
Step-by-step explanation:
1) Previous concepts and data given
The sample sizes are
We can find the distribution for , and since is a sampling distribution and
and
follows normal distributions then
follows a normal distribution too.
The mean and the deviation for is given by:
and since
then
Since both A and B have the same deviation and variance then:
2) Part a
We want to find:
The random variable
follows a normal distribution with mean 0 and deviation 1 we can use this:
3) Part b
From part a we found that we have a change of 19.84% that the experiment would give a difference between the sample means which is greater or equal than 0.2
Analyzing the probability obtained we can say that is not too small to support the conjecture with confidence that the population means for the two machines are different