Lanie's Room Is In The Shape Of A Parallelogram. The Floor Of Her Room Is Shown And Has An Area Of 108 Square Feet. Lanie Has A
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Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean given
represent the population standard deviation
sample size
represent the value that we want to test
t would represent the statistic (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the true mean for the gasoline prices is lower than 1.25, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
Step-by-step explanation:
Step 1: Write our Givens
Move the constant term ,(the term with no variable) to the right side.
Here we have a negative 7, so we add 7 to both sides
Next, we take the linear coeffeicent and divide it by 2 then square it.
Then we add that to both sides
Next, we factor the left,
we got 5 because 5 add to 10 and multiply to 25 as well.
so we get
This is called a perfect square trinomial.
Next, we take the square root of both sides
± menas that we have a positive and negative solution.
Subtract 5 form both side so we get
The greater solution is when sqr root of 32 is positive so the answer to that is