A cup of coffee contains 100 mg of caffeine, which leaves the body at a continuous rate of 17% per hour.Part A) Write a formula
1 answer:
SOLUTION:
Step 1:
In this question, we are given the following:
A cup of coffee contains 100 mg of caffeine, which leaves the body at a continuous rate of 17% per hour.
Part A) Write a formula for the amount, A mg, of caffeine in the body t hours after drinking a cup of coffee.
Step 2:
The details of the solution are as follows:
The graph of:
is as follows:
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Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Step-by-step explanation:
From the question we are told that
The population proportion is
The sample size is n = 1640
The number found to be living with at least one grandparent is
The level of significance is
The null hypothesis is
The alternative hypothesis is
Generally the sample proportion is mathematically represented as
=>
=>
Generally the test statistics is mathematically represented as
=>
=>
From the z table the area under the normal curve to the left corresponding to 0.0077 is
From the value obtained we see that hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%