Step-by-step explanation:
To multiply the fractions, like
Multiply the top,
then multiply the bottom.
Try to use a calculator if you aren't arithmetic heavy, but I suggest you to try to remember them because they are going to be helpful for courses like Algebra, Calculus, Statistics, etc.
To divide fractions, like
You take the top number,
Then you flip the bottom number,
Then multiply the two
And that is your answer. Comment if you need more clarification
Answer:
Null hypothesis:
Alternative hypothesis:
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so then we can conclude that the mean pressure for the automobile engines is not significantly less than 7.3 at 1% of significance.
Step-by-step explanation:
1) 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)
2) State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean pressure is lower than the specificated value 7.3, the system of hypothesis are :
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation, 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".
3) Calculate the statistic
We can replace in formula (1) the info given like this:
4) P-value
Since is a one-side lower test the p value would given by:
5) 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 FAIL to reject the null hypothesis, so we can conclude that the mean pressure for the automobile engines is not significantly less than 7.3 at 1% of significance.
Answer:
a: left = 14 feet
right = 18 feet
b: 18 is significant
c: absolute value is 18
Step-by-step explanation:
a)
The position of the diver on the left relative to the sea level is 14 feet.
The position of a diver on the right to sea level is 18 feet.
b)
integer 18 in part (a) is more significant.
c)
Absolute value is the distance and the zero on the number line.
Absolute value of |18| = 18
Absolute value of |14| = 14
Hence the most excellent absolute value is 18.
