What is the solution of the system of equations? Enter the solution as an ordered pair (use decimal rounded to the nearest hundr
edth if necessary)
I may give Brainleist
I may give Brainleist
1 answer:
You might be interested in
Answer:
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 4.6 at 2% of signficance.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean is equal or not to 4.6, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
Since is a two sided test the p value would be:
Conclusion
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 4.6 at 2% of signficance.
<h2>Answer:</h2>
<em>You will bike 30.2 miles in the seventh day according to the prediction.</em>
<h2>Explanation:</h2>Here we have the following data, You bike
- 5 miles the first day of your training,
- 5.4 miles the second day,
- 6.2 miles the third day, and
- 7.8 miles the fourth day.
So we can know some facts:
- From the first day to the second day the number of miles increases:
- From the second day to the third day the number of miles increases:
- From the third day to the fourth day the number of miles increases:
By taking a look at the pattern, we can see that each day you increases the number of miles by a factor of 2 compared to the previous day. So:
- From the fourth day to the fifth day the number of miles increases:
- From the fifth day to the sixth day the number of miles increases:
Finally:
- From the sixth day to the seventh day the number of miles increases: