<h2>
Answer with explanation:</h2>
Let
be the population mean lifetime of circulated $1 bills.
By considering the given information , we have :-

Since the alternative hypotheses is two tailed so the test is a two tailed test.
We assume that the lifetime of circulated $1 bills is normally distributed.
Given : Sample size : n=50 , which is greater than 30 .
It means the sample is large so we use z-test.
Sample mean : 
Standard deviation : 
Test statistic for population mean :-


The p-value= 
Since the p-value (0.0433834) is greater than the significance level (0.02) , so we do not reject the null hypothesis.
Hence, we conclude that we do not have enough evidence to support the alternative hypothesis that the average lifetime of a circulated $1 bill differs from 18 months.
Answer:
total students = 40probability of selecting a student from art club= 12/40= 3/10
Step-by-step explanation: because am big math
Answer: Nate picked 60 apples and Laura picked 30. (1/2)x+x=90
Step-by-step explanation:
Answer:
2,714in^3
Step-by-step explanation:
V = pi*r^2*h
V = 3.14*6^2*24
V = 3.14*36*24
V = 2,714
The volume of the cylindrical fish tank is 2,714 inches cubed.
Answer:
0.016
Step-by-step explanation:
To find the probability we have to Divide the number of events by the total number of possible outcomes. This will result in the probability of the single event.
Therefore, the formula of probability is

In the given case,
Which is our required answer.