PLEASE HELP Michaels home is 12 feet below sea level in his mothers home is 12 feet above sea level Michael says their homes are
at opposite elevation is because they are in opposite directions is he correct? Explain.
2 answers:
Answer:
Yes, he is correct.
Step-by-step explanation:
Given,
Michael's home is 12 feet below sea level,
And, his mother's home is 12 feet above sea level,
That is, with respect to sea level Michael's home is towards north direction and his mother's home is towards south direction.
Thus, the position of Michael's home with respect to sea level = - 12,
And, the position of his mother's home with respect to sea level = + 12,
Since, the elevation is measured vertically.
⇒ Their home are at opposite elevation,
Hence, their home are at opposite elevation because of they are in opposite directions.
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Answer:
If we compare the p value and the significance level for example we see that
so we can conclude that we have enough evidence to reject the null hypothesis.
And the best conclusion would be:
a) Yes. The counselor's claim is valid
Because we reject the null hypothesis in favor to the alternative hypothesis.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t 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 more than 3.1, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and 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)
t-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
The first step is calculate the degrees of freedom, on this case:
Since is a one right tailed test the p value would be:
Conclusion
If we compare the p value and the significance level for example we see that
so we can conclude that we have enough evidence to reject the null hypothesis.
And the best conclusion would be:
a) Yes. The counselor's claim is valid
Because we reject the null hypothesis in favor to the alternative hypothesis.
